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@ -9,6 +9,7 @@
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(Kind.Term.set_origin new_origin (Kind.Term.lam old_orig name body)) = (Kind.Term.lam new_origin name body)
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(Kind.Term.set_origin new_origin (Kind.Term.let old_orig name expr body)) = (Kind.Term.let new_origin name expr body)
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(Kind.Term.set_origin new_origin (Kind.Term.ann old_orig expr typ)) = (Kind.Term.ann new_origin expr typ)
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(Kind.Term.set_origin new_origin (Kind.Term.sub old_orig name indx redx expr)) = (Kind.Term.sub new_origin name indx redx expr)
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(Kind.Term.set_origin new_origin (Kind.Term.app old_orig func arg)) = (Kind.Term.app new_origin func arg)
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(Kind.Term.set_origin new_origin (Kind.Term.hlp old_orig)) = (Kind.Term.hlp new_origin)
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(Kind.Term.set_origin new_origin (Kind.Term.u60 old_orig)) = (Kind.Term.u60 new_origin)
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@ -36,28 +37,9 @@
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// Kind.API.check_all : (String)
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(Kind.API.check_all) = let output = (Kind.API.output (List.reverse (Kind.API.check_functions (Functions)))); (Bool.if (String.is_nil output) (Kind.Printer.text (List.cons "All terms check." (List.cons (String.new_line) (List.cons (String.new_line) (List.nil))))) output)
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// Bool.if -(a: Type) (b: (Bool)) (t: a) (f: a) : a
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(Bool.if (Bool.true) t f) = t
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(Bool.if (Bool.false) t f) = f
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// String.new_line : (String)
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(String.new_line) = (String.pure (Char.newline))
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// Char.newline : (Char)
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(Char.newline) = 10
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// Char : Type
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(Char) = 0
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// String.pure (x: (Char)) : (String)
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(String.pure x) = (String.cons x "")
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// List.reverse -(a: Type) (xs: (List a)) : (List a)
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(List.reverse xs) = (List.reverse.go xs (List.nil))
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// List.reverse.go -(a: Type) (xs: (List a)) (ys: (List a)) : (List a)
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(List.reverse.go (List.nil) ys) = ys
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(List.reverse.go (List.cons x xs) ys) = (List.reverse.go xs (List.cons x ys))
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// String.is_nil (xs: (String)) : (Bool)
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(String.is_nil "") = (Bool.true)
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(String.is_nil (String.cons x xs)) = (Bool.false)
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// Kind.API.output (res: (List (Pair U60 (List (Kind.Result (Unit)))))) : (String)
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(Kind.API.output (List.nil)) = ""
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@ -85,19 +67,20 @@
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// Kind.API.output.error.details (fnid: U60) (ctx: (Kind.Context)) (sub: (Kind.Subst)) (origin: U60) : (String)
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(Kind.API.output.error.details fnid ctx sub orig) = (Kind.Printer.text (List.cons (Bool.if (Kind.Context.is_empty ctx) "" (Kind.Printer.text (List.cons (Kind.Printer.color "4") (List.cons "Kind.Context:" (List.cons (Kind.Printer.color "0") (List.cons (String.new_line) (List.cons (Kind.Context.show ctx sub) (List.nil)))))))) (List.cons (Kind.Printer.color "4") (List.cons (String.cons 79 (String.cons 110 (String.cons 32 (String.cons 39 "{{#F")))) (List.cons (Show.to_string (U60.show (>> orig 48))) (List.cons (String.cons 70 (String.cons 35 (String.cons 125 (String.cons 125 (String.cons 39 ":"))))) (List.cons (Kind.Printer.color "0") (List.cons (String.new_line) (List.cons "{{#R" (List.cons (Show.to_string (U60.show (>> orig 48))) (List.cons ":" (List.cons (Show.to_string (U60.show (& orig 16777215))) (List.cons ":" (List.cons (Show.to_string (U60.show (& (>> orig 24) 16777215))) (List.cons "R#}}" (List.cons (String.new_line) (List.nil)))))))))))))))))
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// Pair.match -(a: Type) -(b: Type) (x: (Pair a b)) -(p: (x: (Pair a b)) Type) (new: (fst: a) (snd: b) (p (Pair.new a b fst snd))) : (p x)
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(Pair.match (Pair.new fst_ snd_) new) = ((new fst_) snd_)
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// Kind.Printer.text (ls: (List (String))) : (String)
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(Kind.Printer.text (List.nil)) = ""
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(Kind.Printer.text (List.cons x xs)) = (String.concat x (Kind.Printer.text xs))
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// String.concat (xs: (String)) (ys: (String)) : (String)
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(String.concat (String.cons x xs) ys) = (String.cons x (String.concat xs ys))
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(String.concat "" ys) = ys
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// Pair.fst -(a: Type) -(b: Type) (pair: (Pair a b)) : a
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(Pair.fst (Pair.new fst snd)) = fst
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// Kind.Context.is_empty (ctx: (Kind.Context)) : (Bool)
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|
(Kind.Context.is_empty (Kind.Context.empty)) = (Bool.true)
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(Kind.Context.is_empty (Kind.Context.entry name type vals rest)) = (Bool.false)
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// Show.to_string (show: (Show)) : (String)
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(Show.to_string show) = (show "")
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// Show : Type
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(Show) = 0
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// String.cut.go (str: (String)) (df: (String)) (n: U60) : (String)
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(String.cut.go "" df n) = ""
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(String.cut.go (String.cons x xs) df 0) = df
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@ -106,13 +89,9 @@
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// String.cut (str: (String)) : (String)
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(String.cut str) = (String.cut.go str "(...)" 2048)
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// U60.show (n: U60) : (Show)
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(U60.show 0) = @str (String.cons 48 str)
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(U60.show n) = @str let next = (String.cons (+ 48 (% n 10)) str); let func = (U60.if (< n 10) @h h @h ((U60.show (/ n 10)) h)); (func next)
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// U60.if -(r: Type) (n: U60) (t: r) (f: r) : r
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(U60.if 0 t f) = f
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(U60.if x t f) = t
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// Kind.Context.is_empty (ctx: (Kind.Context)) : (Bool)
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(Kind.Context.is_empty (Kind.Context.empty)) = (Bool.true)
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(Kind.Context.is_empty (Kind.Context.entry name type vals rest)) = (Bool.false)
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// Kind.Context.show.type (name: U60) (type: (Kind.Term)) (sub: (Kind.Subst)) (pad: U60) : (String)
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(Kind.Context.show.type name type sub pad) = (Kind.Printer.text (List.cons "- " (List.cons (String.pad_right (U60.to_nat pad) 32 (Kind.Name.show name)) (List.cons " : " (List.cons (String.cut (Kind.Term.show (Kind.Term.fill type sub))) (List.cons (String.new_line) (List.nil)))))))
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@ -128,12 +107,13 @@
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// Kind.Context.show (ctx: (Kind.Context)) (subst: (Kind.Subst)) : (String)
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(Kind.Context.show ctx subst) = (Kind.Context.show.go ctx subst (Kind.Context.max_name_length ctx))
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// Kind.Context.max_name_length.aux (ctx: (Kind.Context)) (acc: U60) : U60
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|
(Kind.Context.max_name_length.aux (Kind.Context.empty) acc) = acc
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(Kind.Context.max_name_length.aux (Kind.Context.entry name type vals rest) acc) = (Kind.Context.max_name_length.aux rest (U60.max (Nat.to_u60 (String.length (Kind.Name.show name))) acc))
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// String.pad_right (size: (Nat)) (chr: (Char)) (str: (String)) : (String)
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|
|
(String.pad_right (Nat.zero) chr str) = str
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|
(String.pad_right (Nat.succ sp) chr "") = (String.cons chr (String.pad_right sp chr ""))
|
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|
|
(String.pad_right (Nat.succ sp) chr (String.cons x xs)) = (String.cons x (String.pad_right sp chr xs))
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|
|
// Kind.Context.max_name_length (ctx: (Kind.Context)) : U60
|
|
|
|
|
(Kind.Context.max_name_length ctx) = (Kind.Context.max_name_length.aux ctx 0)
|
|
|
|
|
// Char : Type
|
|
|
|
|
(Char) = 0
|
|
|
|
|
|
|
|
|
|
// Kind.Name.show.go (name: U60) (chrs: (String)) : (String)
|
|
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|
|
(Kind.Name.show.go name chrs) = (U60.if (== name 0) chrs let val = (% name 64); let chr = (U60.if (== val 0) 46 (U60.if (& (<= 1 val) (<= val 10)) (+ (- val 1) 48) (U60.if (& (<= 11 val) (<= val 36)) (+ (- val 11) 65) (U60.if (& (<= 37 val) (<= val 62)) (+ (- val 37) 97) (U60.if (== val 63) 95 63))))); (Kind.Name.show.go (/ name 64) (String.cons chr chrs)))
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|
@ -141,16 +121,134 @@
|
|
|
|
|
// Kind.Name.show (name: U60) : (String)
|
|
|
|
|
(Kind.Name.show name) = (Kind.Name.show.go name "")
|
|
|
|
|
|
|
|
|
|
// U60.max (fst: U60) (snd: U60) : U60
|
|
|
|
|
(U60.max fst snd) = (U60.if (> fst snd) fst snd)
|
|
|
|
|
// U60.if -(r: Type) (n: U60) (t: r) (f: r) : r
|
|
|
|
|
(U60.if 0 t f) = f
|
|
|
|
|
(U60.if x t f) = t
|
|
|
|
|
|
|
|
|
|
// Nat.to_u60 (n: (Nat)) : U60
|
|
|
|
|
(Nat.to_u60 (Nat.zero)) = 0
|
|
|
|
|
(Nat.to_u60 (Nat.succ n)) = (+ 1 (Nat.to_u60 n))
|
|
|
|
|
// Kind.Term.show.forall (orig: U60) (name: U60) (type: (Kind.Term)) (body: (_: (Kind.Term)) (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show.forall orig name type body) = (U60.if (== name 63) (Kind.Printer.text (List.cons "(" (List.cons (Kind.Term.show type) (List.cons " -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil))))))) (Kind.Printer.text (List.cons "((" (List.cons (Kind.Name.show name) (List.cons ": " (List.cons (Kind.Term.show type) (List.cons ") -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil))))))))))
|
|
|
|
|
|
|
|
|
|
// String.length (xs: (String)) : (Nat)
|
|
|
|
|
(String.length "") = (Nat.zero)
|
|
|
|
|
(String.length (String.cons x xs)) = (Nat.succ (String.length xs))
|
|
|
|
|
// Kind.Term.show (term: (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show term) = let sugars = (List.cons (Kind.Term.show.sugar.string term) (List.cons (Kind.Term.show.sugar.list term) (List.cons (Kind.Term.show.sugar.sigma term) (List.nil)))); (Maybe.try sugars (Kind.Term.show.go term))
|
|
|
|
|
|
|
|
|
|
// Kind.Term.show.go (term: (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.typ orig)) = "Type"
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.var orig name index)) = (Kind.Printer.text (List.cons (Kind.Name.show name) (List.nil)))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.hol orig numb)) = (Kind.Printer.text (List.cons "_" (List.nil)))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.all orig name type body)) = (Kind.Term.show.forall orig name type body)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.lam orig name body)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Name.show name) (List.cons " => " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.let orig name exp body)) = (Kind.Printer.text (List.cons "let " (List.cons (Kind.Name.show name) (List.cons " = " (List.cons (Kind.Term.show exp) (List.cons "; " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.nil))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ann orig expr type)) = (Kind.Printer.text (List.cons "{" (List.cons (Kind.Term.show expr) (List.cons " :: " (List.cons (Kind.Term.show type) (List.cons "}" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.sub orig name indx redx expr)) = (Kind.Printer.text (List.cons (Kind.Term.show expr) (List.cons " ## " (List.cons (Kind.Name.show name) (List.cons "/" (List.cons (Show.to_string (U60.show redx)) (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.app orig func argm)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Term.show func) (List.cons " " (List.cons (Kind.Term.show argm) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct0 ctid orig)) = (NameOf ctid)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct1 ctid orig x0)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct2 ctid orig x0 x1)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons ")" (List.nil)))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct3 ctid orig x0 x1 x2)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons ")" (List.nil)))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct4 ctid orig x0 x1 x2 x3)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons ")" (List.nil)))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons ")" (List.nil)))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons ")" (List.nil)))))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct7 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct8 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn0 ctid orig)) = (NameOf ctid)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn1 ctid orig x0)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn2 ctid orig x0 x1)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons ")" (List.nil)))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn3 ctid orig x0 x1 x2)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons ")" (List.nil)))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn4 ctid orig x0 x1 x2 x3)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons ")" (List.nil)))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons ")" (List.nil)))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons ")" (List.nil)))))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn7 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.fn8 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
|
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|
|
(Kind.Term.show.go (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6)) = (Kind.Printer.text (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons " " (List.cons (Kind.Term.show x6) (List.nil)))))))))))))))
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|
|
(Kind.Term.show.go (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7)) = (Kind.Printer.text (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons " " (List.cons (Kind.Term.show x6) (List.cons " " (List.cons (Kind.Term.show x7) (List.nil)))))))))))))))))
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|
(Kind.Term.show.go (Kind.Term.hlp orig)) = "?"
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(Kind.Term.show.go (Kind.Term.u60 orig)) = "U60"
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(Kind.Term.show.go (Kind.Term.num orig numb)) = (Show.to_string (U60.show numb))
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(Kind.Term.show.go (Kind.Term.op2 orig operator left right)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Operator.show operator) (List.cons " " (List.cons (Kind.Term.show left) (List.cons " " (List.cons (Kind.Term.show right) (List.cons ")" (List.nil)))))))))
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// Maybe.try -(a: Type) (ls: (List (Maybe a))) (alt: a) : a
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|
|
(Maybe.try (List.nil) alt) = alt
|
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(Maybe.try (List.cons maybe xs) alt) = (Maybe.match maybe (Maybe.try xs alt) @maybe.value maybe.value)
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// Maybe.match -(t: Type) (x: (Maybe t)) -(p: (x: (Maybe t)) Type) (none: (p (Maybe.none t))) (some: (value: t) (p (Maybe.some t value))) : (p x)
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(Maybe.match (Maybe.none) none some) = none
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(Maybe.match (Maybe.some value_) none some) = (some value_)
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// Kind.Term.show.sugar.list.go (term: (Kind.Term)) : (Maybe (List (String)))
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(Kind.Term.show.sugar.list.go (Kind.Term.ct0 (List.nil.) orig)) = (Maybe.some (List.nil))
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(Kind.Term.show.sugar.list.go (Kind.Term.ct2 (List.cons.) orig x0 x1)) = (Maybe.bind (Kind.Term.show.sugar.list.go x1) @tail (Maybe.pure (List.cons (Kind.Term.show x0) tail)))
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(Kind.Term.show.sugar.list.go other) = (Maybe.none)
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// Kind.Term.show.sugar.list (term: (Kind.Term)) : (Maybe (String))
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(Kind.Term.show.sugar.list term) = (Maybe.bind (Kind.Term.show.sugar.list.go term) @res (Maybe.pure (Kind.Printer.text (List.cons "[" (List.cons (String.join " " res) (List.cons "]" (List.nil)))))))
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// Maybe.bind -(a: Type) -(b: Type) (ma: (Maybe a)) (mb: (_: a) (Maybe b)) : (Maybe b)
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(Maybe.bind (Maybe.none) mb) = (Maybe.none)
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(Maybe.bind (Maybe.some val) mb) = (mb val)
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// Maybe.pure -(a: Type) (x: a) : (Maybe a)
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(Maybe.pure x) = (Maybe.some x)
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// String.join (sep: (String)) (list: (List (String))) : (String)
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(String.join sep list) = (String.intercalate sep list)
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// String.intercalate (sep: (String)) (xs: (List (String))) : (String)
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(String.intercalate sep xs) = (String.flatten (List.intersperse sep xs))
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// String.flatten (xs: (List (String))) : (String)
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(String.flatten (List.nil)) = ""
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(String.flatten (List.cons head tail)) = (String.concat head (String.flatten tail))
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// List.intersperse -(a: Type) (sep: a) (xs: (List a)) : (List a)
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(List.intersperse sep (List.nil)) = (List.nil)
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(List.intersperse sep (List.cons xh (List.nil))) = (List.pure xh)
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(List.intersperse sep (List.cons xh xt)) = (List.cons xh (List.cons sep (List.intersperse sep xt)))
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// List.pure -(t: Type) (x: t) : (List t)
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(List.pure x) = (List.cons x (List.nil))
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// Kind.Operator.show (op: (Kind.Operator)) : (String)
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(Kind.Operator.show (Kind.Operator.add)) = "+"
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(Kind.Operator.show (Kind.Operator.sub)) = "-"
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|
(Kind.Operator.show (Kind.Operator.mul)) = "*"
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|
(Kind.Operator.show (Kind.Operator.div)) = "/"
|
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(Kind.Operator.show (Kind.Operator.mod)) = "%"
|
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|
(Kind.Operator.show (Kind.Operator.and)) = "&"
|
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|
|
(Kind.Operator.show (Kind.Operator.or)) = "|"
|
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|
|
(Kind.Operator.show (Kind.Operator.xor)) = "^"
|
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|
|
(Kind.Operator.show (Kind.Operator.shl)) = "<<"
|
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|
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(Kind.Operator.show (Kind.Operator.shr)) = ">>"
|
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|
(Kind.Operator.show (Kind.Operator.ltn)) = "<"
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|
(Kind.Operator.show (Kind.Operator.lte)) = "<="
|
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|
|
(Kind.Operator.show (Kind.Operator.eql)) = "=="
|
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|
(Kind.Operator.show (Kind.Operator.gte)) = ">="
|
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|
|
(Kind.Operator.show (Kind.Operator.gtn)) = ">"
|
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|
(Kind.Operator.show (Kind.Operator.neq)) = "!="
|
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// Kind.Term.show.sugar.string.go (term: (Kind.Term)) : (Maybe (String))
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|
|
(Kind.Term.show.sugar.string.go (Kind.Term.ct0 (String.nil.) orig)) = (Maybe.some "")
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|
(Kind.Term.show.sugar.string.go (Kind.Term.ct2 (String.cons.) orig (Kind.Term.num orig1 x0) x1)) = (Maybe.bind (Kind.Term.show.sugar.string.go x1) @tail (Maybe.pure (String.cons x0 tail)))
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|
(Kind.Term.show.sugar.string.go other) = (Maybe.none)
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|
// Kind.Term.show.sugar.string (term: (Kind.Term)) : (Maybe (String))
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|
(Kind.Term.show.sugar.string term) = (Maybe.bind (Kind.Term.show.sugar.string.go term) @res let quot = (String.cons 39 ""); (Maybe.pure (Kind.Printer.text (List.cons quot (List.cons res (List.cons quot (List.nil)))))))
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// U60.show (n: U60) : (Show)
|
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|
|
(U60.show 0) = @str (String.cons 48 str)
|
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|
|
(U60.show n) = @str let next = (String.cons (+ 48 (% n 10)) str); let func = (U60.if (< n 10) @h h @h ((U60.show (/ n 10)) h)); (func next)
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// Show : Type
|
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|
|
(Show) = 0
|
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// Kind.Term.show.sugar.sigma (term: (Kind.Term)) : (Maybe (String))
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|
(Kind.Term.show.sugar.sigma (Kind.Term.ct2 (Sigma.) orig typ (Kind.Term.lam orig_ name body))) = (Maybe.some (Kind.Printer.text (List.cons "([" (List.cons (Kind.Name.show name) (List.cons ": " (List.cons (Kind.Term.show typ) (List.cons "] -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig_ name 0))) (List.cons ")" (List.nil))))))))))
|
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|
|
(Kind.Term.show.sugar.sigma term) = (Maybe.none)
|
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|
|
// Show.to_string (show: (Show)) : (String)
|
|
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|
|
(Show.to_string show) = (show "")
|
|
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|
|
// Show : Type
|
|
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|
|
(Show) = 0
|
|
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|
// Kind.Term.fill (term: (Kind.Term)) (subst: (Kind.Subst)) : (Kind.Term)
|
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|
|
(Kind.Term.fill term (Kind.Subst.end)) = term
|
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|
@ -160,6 +258,7 @@
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|
|
(Kind.Term.fill (Kind.Term.lam orig name body) sub) = (Kind.Term.lam orig name @x (Kind.Term.fill (body x) sub))
|
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|
|
(Kind.Term.fill (Kind.Term.let orig name expr body) sub) = (Kind.Term.eval_let orig name (Kind.Term.fill expr sub) @x (Kind.Term.fill (body x) sub))
|
|
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|
|
(Kind.Term.fill (Kind.Term.ann orig expr typ) sub) = (Kind.Term.eval_ann orig (Kind.Term.fill expr sub) (Kind.Term.fill typ sub))
|
|
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|
|
(Kind.Term.fill (Kind.Term.sub orig name indx redx expr) sub) = (Kind.Term.eval_sub orig name indx redx (Kind.Term.fill expr sub))
|
|
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|
|
(Kind.Term.fill (Kind.Term.app orig expr typ) sub) = (Kind.Term.eval_app orig (Kind.Term.fill expr sub) (Kind.Term.fill typ sub))
|
|
|
|
|
(Kind.Term.fill (Kind.Term.hlp orig) sub) = (Kind.Term.hlp orig)
|
|
|
|
|
(Kind.Term.fill (Kind.Term.u60 orig) sub) = (Kind.Term.u60 orig)
|
|
|
|
@ -187,11 +286,9 @@
|
|
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|
|
(Kind.Term.fill (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7) sub) = (Kind.Term.args8 (Kind.Term.fill x0 sub) (Kind.Term.fill x1 sub) (Kind.Term.fill x2 sub) (Kind.Term.fill x3 sub) (Kind.Term.fill x4 sub) (Kind.Term.fill x5 sub) (Kind.Term.fill x6 sub) (Kind.Term.fill x7 sub))
|
|
|
|
|
(Kind.Term.fill (Kind.Term.hol orig numb) sub) = let substRes = (Kind.Subst.look sub numb); (Maybe.match substRes (Kind.Term.hol orig numb) @substRes.value (Kind.Term.fill substRes.value sub))
|
|
|
|
|
|
|
|
|
|
// Kind.Term.eval_ann (orig: U60) (expr: (Kind.Term)) (type: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_ann orig expr type) = expr
|
|
|
|
|
|
|
|
|
|
// Kind.Term.eval_let (orig: U60) (name: U60) (expr: (Kind.Term)) (body: (_: (Kind.Term)) (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_let orig name expr body) = (body expr)
|
|
|
|
|
// Kind.Term.eval_app (orig: U60) (left: (Kind.Term)) (right: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_app orig (Kind.Term.lam orig1 name body) arg) = (body arg)
|
|
|
|
|
(Kind.Term.eval_app orig func arg) = (Kind.Term.app orig func arg)
|
|
|
|
|
|
|
|
|
|
// Kind.Subst.look (subst: (Kind.Subst)) (depth: U60) : (Maybe (Kind.Term))
|
|
|
|
|
(Kind.Subst.look (Kind.Subst.end) 0) = (Maybe.none)
|
|
|
|
@ -201,146 +298,62 @@
|
|
|
|
|
(Kind.Subst.look (Kind.Subst.unfilled rest) n) = (Kind.Subst.look rest (- n 1))
|
|
|
|
|
(Kind.Subst.look (Kind.Subst.sub term rest) n) = (Kind.Subst.look rest (- n 1))
|
|
|
|
|
|
|
|
|
|
// Kind.Term.eval_app (orig: U60) (left: (Kind.Term)) (right: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_app orig (Kind.Term.lam orig1 name body) arg) = (body arg)
|
|
|
|
|
(Kind.Term.eval_app orig func arg) = (Kind.Term.app orig func arg)
|
|
|
|
|
// Kind.Term.eval_ann (orig: U60) (expr: (Kind.Term)) (type: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_ann orig expr type) = expr
|
|
|
|
|
|
|
|
|
|
// Maybe.match -(t: Type) (x: (Maybe t)) -(p: (x: (Maybe t)) Type) (none: (p (Maybe.none t))) (some: (value: t) (p (Maybe.some t value))) : (p x)
|
|
|
|
|
(Maybe.match (Maybe.none) none some) = none
|
|
|
|
|
(Maybe.match (Maybe.some value_) none some) = (some value_)
|
|
|
|
|
// Kind.Term.eval_let (orig: U60) (name: U60) (expr: (Kind.Term)) (body: (_: (Kind.Term)) (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_let orig name expr body) = (body expr)
|
|
|
|
|
|
|
|
|
|
// Kind.Term.eval_sub (orig: U60) (name: U60) (indx: U60) (redx: U60) (expr: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.eval_sub orig name indx redx expr) = expr
|
|
|
|
|
|
|
|
|
|
// Kind.Context.max_name_length.aux (ctx: (Kind.Context)) (acc: U60) : U60
|
|
|
|
|
(Kind.Context.max_name_length.aux (Kind.Context.empty) acc) = acc
|
|
|
|
|
(Kind.Context.max_name_length.aux (Kind.Context.entry name type vals rest) acc) = (Kind.Context.max_name_length.aux rest (U60.max (Nat.to_u60 (String.length (Kind.Name.show name))) acc))
|
|
|
|
|
|
|
|
|
|
// Kind.Context.max_name_length (ctx: (Kind.Context)) : U60
|
|
|
|
|
(Kind.Context.max_name_length ctx) = (Kind.Context.max_name_length.aux ctx 0)
|
|
|
|
|
|
|
|
|
|
// U60.max (fst: U60) (snd: U60) : U60
|
|
|
|
|
(U60.max fst snd) = (U60.if (> fst snd) fst snd)
|
|
|
|
|
|
|
|
|
|
// String.length (xs: (String)) : (Nat)
|
|
|
|
|
(String.length "") = (Nat.zero)
|
|
|
|
|
(String.length (String.cons x xs)) = (Nat.succ (String.length xs))
|
|
|
|
|
|
|
|
|
|
// Nat.to_u60 (n: (Nat)) : U60
|
|
|
|
|
(Nat.to_u60 (Nat.zero)) = 0
|
|
|
|
|
(Nat.to_u60 (Nat.succ n)) = (+ 1 (Nat.to_u60 n))
|
|
|
|
|
|
|
|
|
|
// Kind.Printer.color (color_code: (String)) : (String)
|
|
|
|
|
(Kind.Printer.color color_code) = (Kind.Printer.text (List.cons (String.cons 27 "") (List.cons "[" (List.cons color_code (List.cons "m" (List.nil))))))
|
|
|
|
|
|
|
|
|
|
// String.new_line : (String)
|
|
|
|
|
(String.new_line) = (String.pure (Char.newline))
|
|
|
|
|
|
|
|
|
|
// String.pure (x: (Char)) : (String)
|
|
|
|
|
(String.pure x) = (String.cons x "")
|
|
|
|
|
|
|
|
|
|
// Char.newline : (Char)
|
|
|
|
|
(Char.newline) = 10
|
|
|
|
|
|
|
|
|
|
// U60.to_nat (x: U60) : (Nat)
|
|
|
|
|
(U60.to_nat 0) = (Nat.zero)
|
|
|
|
|
(U60.to_nat n) = (Nat.succ (U60.to_nat (- n 1)))
|
|
|
|
|
|
|
|
|
|
// Kind.Printer.color (color_code: (String)) : (String)
|
|
|
|
|
(Kind.Printer.color color_code) = (Kind.Printer.text (List.cons (String.cons 27 "") (List.cons "[" (List.cons color_code (List.cons "m" (List.nil))))))
|
|
|
|
|
|
|
|
|
|
// Kind.Printer.text (ls: (List (String))) : (String)
|
|
|
|
|
(Kind.Printer.text (List.nil)) = ""
|
|
|
|
|
(Kind.Printer.text (List.cons x xs)) = (String.concat x (Kind.Printer.text xs))
|
|
|
|
|
|
|
|
|
|
// String.concat (xs: (String)) (ys: (String)) : (String)
|
|
|
|
|
(String.concat (String.cons x xs) ys) = (String.cons x (String.concat xs ys))
|
|
|
|
|
(String.concat "" ys) = ys
|
|
|
|
|
|
|
|
|
|
// Kind.Term.show.forall (orig: U60) (name: U60) (type: (Kind.Term)) (body: (_: (Kind.Term)) (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show.forall orig name type body) = (U60.if (== name 63) (Kind.Printer.text (List.cons "(" (List.cons (Kind.Term.show type) (List.cons " -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil))))))) (Kind.Printer.text (List.cons "((" (List.cons (Kind.Name.show name) (List.cons ": " (List.cons (Kind.Term.show type) (List.cons ") -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil))))))))))
|
|
|
|
|
|
|
|
|
|
// Kind.Term.show (term: (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show term) = let sugars = (List.cons (Kind.Term.show.sugar.string term) (List.cons (Kind.Term.show.sugar.list term) (List.cons (Kind.Term.show.sugar.sigma term) (List.nil)))); (Maybe.try sugars (Kind.Term.show.go term))
|
|
|
|
|
|
|
|
|
|
// Kind.Term.show.go (term: (Kind.Term)) : (String)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.typ orig)) = "Type"
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.var orig name index)) = (Kind.Printer.text (List.cons (Kind.Name.show name) (List.nil)))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.hol orig numb)) = (Kind.Printer.text (List.cons "_" (List.nil)))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.all orig name type body)) = (Kind.Term.show.forall orig name type body)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.lam orig name body)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Name.show name) (List.cons "=>" (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.let orig name exp body)) = (Kind.Printer.text (List.cons "let " (List.cons (Kind.Name.show name) (List.cons " = " (List.cons (Kind.Term.show exp) (List.cons "; " (List.cons (Kind.Term.show (body (Kind.Term.var orig name 0))) (List.nil))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ann orig expr type)) = (Kind.Printer.text (List.cons "{" (List.cons (Kind.Term.show expr) (List.cons " :: " (List.cons (Kind.Term.show type) (List.cons "}" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.app orig func argm)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Term.show func) (List.cons " " (List.cons (Kind.Term.show argm) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct0 ctid orig)) = (NameOf ctid)
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct1 ctid orig x0)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons ")" (List.nil)))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct2 ctid orig x0 x1)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons ")" (List.nil)))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct3 ctid orig x0 x1 x2)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons ")" (List.nil)))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct4 ctid orig x0 x1 x2 x3)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons ")" (List.nil)))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons ")" (List.nil)))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons ")" (List.nil)))))))))))))))))
|
|
|
|
|
(Kind.Term.show.go (Kind.Term.ct7 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
|
|
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|
|
(Kind.Term.show.go (Kind.Term.ct8 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
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|
(Kind.Term.show.go (Kind.Term.fn0 ctid orig)) = (NameOf ctid)
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|
(Kind.Term.show.go (Kind.Term.fn1 ctid orig x0)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons ")" (List.nil)))))))
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|
(Kind.Term.show.go (Kind.Term.fn2 ctid orig x0 x1)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons ")" (List.nil)))))))))
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|
(Kind.Term.show.go (Kind.Term.fn3 ctid orig x0 x1 x2)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons ")" (List.nil)))))))))))
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|
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|
(Kind.Term.show.go (Kind.Term.fn4 ctid orig x0 x1 x2 x3)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons ")" (List.nil)))))))))))))
|
|
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|
|
(Kind.Term.show.go (Kind.Term.fn5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons ")" (List.nil)))))))))))))))
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|
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|
|
(Kind.Term.show.go (Kind.Term.fn6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons ")" (List.nil)))))))))))))))))
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|
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|
(Kind.Term.show.go (Kind.Term.fn7 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
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|
(Kind.Term.show.go (Kind.Term.fn8 ctid orig args)) = (Kind.Printer.text (List.cons "(" (List.cons (NameOf ctid) (List.cons " " (List.cons (Kind.Term.show args) (List.cons ")" (List.nil)))))))
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|
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(Kind.Term.show.go (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6)) = (Kind.Printer.text (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons " " (List.cons (Kind.Term.show x6) (List.nil)))))))))))))))
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|
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|
(Kind.Term.show.go (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7)) = (Kind.Printer.text (List.cons (Kind.Term.show x0) (List.cons " " (List.cons (Kind.Term.show x1) (List.cons " " (List.cons (Kind.Term.show x2) (List.cons " " (List.cons (Kind.Term.show x3) (List.cons " " (List.cons (Kind.Term.show x4) (List.cons " " (List.cons (Kind.Term.show x5) (List.cons " " (List.cons (Kind.Term.show x6) (List.cons " " (List.cons (Kind.Term.show x7) (List.nil)))))))))))))))))
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(Kind.Term.show.go (Kind.Term.hlp orig)) = "?"
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|
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(Kind.Term.show.go (Kind.Term.u60 orig)) = "U60"
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(Kind.Term.show.go (Kind.Term.num orig numb)) = (Show.to_string (U60.show numb))
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(Kind.Term.show.go (Kind.Term.op2 orig operator left right)) = (Kind.Printer.text (List.cons "(" (List.cons (Kind.Operator.show operator) (List.cons " " (List.cons (Kind.Term.show left) (List.cons " " (List.cons (Kind.Term.show right) (List.cons ")" (List.nil)))))))))
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// Kind.Term.show.sugar.list.go (term: (Kind.Term)) : (Maybe (List (String)))
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(Kind.Term.show.sugar.list.go (Kind.Term.ct0 (List.nil.) orig)) = (Maybe.some (List.nil))
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|
(Kind.Term.show.sugar.list.go (Kind.Term.ct2 (List.cons.) orig x0 x1)) = (Maybe.bind (Kind.Term.show.sugar.list.go x1) @tail (Maybe.pure (List.cons (Kind.Term.show x0) tail)))
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(Kind.Term.show.sugar.list.go other) = (Maybe.none)
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// Kind.Term.show.sugar.list (term: (Kind.Term)) : (Maybe (String))
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(Kind.Term.show.sugar.list term) = (Maybe.bind (Kind.Term.show.sugar.list.go term) @res (Maybe.pure (Kind.Printer.text (List.cons "[" (List.cons (String.join " " res) (List.cons "]" (List.nil)))))))
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// Maybe.pure -(a: Type) (x: a) : (Maybe a)
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|
(Maybe.pure x) = (Maybe.some x)
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// String.join (sep: (String)) (list: (List (String))) : (String)
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|
(String.join sep list) = (String.intercalate sep list)
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// String.intercalate (sep: (String)) (xs: (List (String))) : (String)
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(String.intercalate sep xs) = (String.flatten (List.intersperse sep xs))
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// String.flatten (xs: (List (String))) : (String)
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(String.flatten (List.nil)) = ""
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(String.flatten (List.cons head tail)) = (String.concat head (String.flatten tail))
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// List.intersperse -(a: Type) (sep: a) (xs: (List a)) : (List a)
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(List.intersperse sep (List.nil)) = (List.nil)
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(List.intersperse sep (List.cons xh (List.nil))) = (List.pure xh)
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(List.intersperse sep (List.cons xh xt)) = (List.cons xh (List.cons sep (List.intersperse sep xt)))
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|
// List.pure -(t: Type) (x: t) : (List t)
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(List.pure x) = (List.cons x (List.nil))
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// Maybe.bind -(a: Type) -(b: Type) (ma: (Maybe a)) (mb: (_: a) (Maybe b)) : (Maybe b)
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(Maybe.bind (Maybe.none) mb) = (Maybe.none)
|
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|
|
(Maybe.bind (Maybe.some val) mb) = (mb val)
|
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// Kind.Term.show.sugar.string.go (term: (Kind.Term)) : (Maybe (String))
|
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(Kind.Term.show.sugar.string.go (Kind.Term.ct0 (String.nil.) orig)) = (Maybe.some "")
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|
(Kind.Term.show.sugar.string.go (Kind.Term.ct2 (String.cons.) orig (Kind.Term.num orig1 x0) x1)) = (Maybe.bind (Kind.Term.show.sugar.string.go x1) @tail (Maybe.pure (String.cons x0 tail)))
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|
|
(Kind.Term.show.sugar.string.go other) = (Maybe.none)
|
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|
|
// Kind.Term.show.sugar.string (term: (Kind.Term)) : (Maybe (String))
|
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|
|
(Kind.Term.show.sugar.string term) = (Maybe.bind (Kind.Term.show.sugar.string.go term) @res let quot = (String.cons 39 ""); (Maybe.pure (Kind.Printer.text (List.cons quot (List.cons res (List.cons quot (List.nil)))))))
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|
|
// Maybe.try -(a: Type) (ls: (List (Maybe a))) (alt: a) : a
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|
|
(Maybe.try (List.nil) alt) = alt
|
|
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|
|
(Maybe.try (List.cons maybe xs) alt) = (Maybe.match maybe (Maybe.try xs alt) @maybe.value maybe.value)
|
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|
|
|
|
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|
|
// Kind.Term.show.sugar.sigma (term: (Kind.Term)) : (Maybe (String))
|
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|
|
(Kind.Term.show.sugar.sigma (Kind.Term.ct2 (Sigma.) orig typ (Kind.Term.lam orig_ name body))) = (Maybe.some (Kind.Printer.text (List.cons "([" (List.cons (Kind.Name.show name) (List.cons ": " (List.cons (Kind.Term.show typ) (List.cons "] -> " (List.cons (Kind.Term.show (body (Kind.Term.var orig_ name 0))) (List.cons ")" (List.nil))))))))))
|
|
|
|
|
(Kind.Term.show.sugar.sigma term) = (Maybe.none)
|
|
|
|
|
|
|
|
|
|
// Kind.Operator.show (op: (Kind.Operator)) : (String)
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.add)) = "+"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.sub)) = "-"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.mul)) = "*"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.div)) = "/"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.mod)) = "%"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.and)) = "&"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.or)) = "|"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.xor)) = "^"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.shl)) = "<<"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.shr)) = ">>"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.ltn)) = "<"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.lte)) = "<="
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.eql)) = "=="
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.gte)) = ">="
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.gtn)) = ">"
|
|
|
|
|
(Kind.Operator.show (Kind.Operator.neq)) = "!="
|
|
|
|
|
|
|
|
|
|
// String.pad_right (size: (Nat)) (chr: (Char)) (str: (String)) : (String)
|
|
|
|
|
(String.pad_right (Nat.zero) chr str) = str
|
|
|
|
|
(String.pad_right (Nat.succ sp) chr "") = (String.cons chr (String.pad_right sp chr ""))
|
|
|
|
|
(String.pad_right (Nat.succ sp) chr (String.cons x xs)) = (String.cons x (String.pad_right sp chr xs))
|
|
|
|
|
|
|
|
|
|
// Pair.snd -(a: Type) -(b: Type) (pair: (Pair a b)) : b
|
|
|
|
|
(Pair.snd (Pair.new fst snd)) = snd
|
|
|
|
|
|
|
|
|
|
// Pair.match -(a: Type) -(b: Type) (x: (Pair a b)) -(p: (x: (Pair a b)) Type) (new: (fst: a) (snd: b) (p (Pair.new a b fst snd))) : (p x)
|
|
|
|
|
(Pair.match (Pair.new fst_ snd_) new) = ((new fst_) snd_)
|
|
|
|
|
// Bool.if -(a: Type) (b: (Bool)) (t: a) (f: a) : a
|
|
|
|
|
(Bool.if (Bool.true) t f) = t
|
|
|
|
|
(Bool.if (Bool.false) t f) = f
|
|
|
|
|
|
|
|
|
|
// List.reverse -(a: Type) (xs: (List a)) : (List a)
|
|
|
|
|
(List.reverse xs) = (List.reverse.go xs (List.nil))
|
|
|
|
|
|
|
|
|
|
// List.reverse.go -(a: Type) (xs: (List a)) (ys: (List a)) : (List a)
|
|
|
|
|
(List.reverse.go (List.nil) ys) = ys
|
|
|
|
|
(List.reverse.go (List.cons x xs) ys) = (List.reverse.go xs (List.cons x ys))
|
|
|
|
|
|
|
|
|
|
// Kind.API.check_functions (fnid: (List U60)) : (List (Pair U60 (List (Kind.Result (Unit)))))
|
|
|
|
|
(Kind.API.check_functions (List.nil)) = (List.nil)
|
|
|
|
@ -353,21 +366,13 @@
|
|
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|
|
(Kind.API.check_function.rules (List.nil) type) = (List.nil)
|
|
|
|
|
(Kind.API.check_function.rules (List.cons rule rules) type) = let head = (Kind.Checker.run (Kind.Checker.unify (Kind.Checker.rule rule type)) (Bool.false)); let tail = (Kind.API.check_function.rules rules type); (List.cons head tail)
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.unify (checker: (Kind.Checker (Unit))) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.unify checker) = (Kind.Checker.bind checker @_ (Kind.Checker.bind (Kind.Checker.get_equations) @equations (Kind.Checker.unify.go equations (List.nil) (Bool.false))))
|
|
|
|
|
// Kind.Checker.rule (rule: (Kind.Rule)) (term: (Kind.Term)) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.rule (Kind.Rule.lhs arg args) (Kind.Term.all orig name type body)) = (Kind.Checker.bind (Kind.Checker.check arg type) @_ (Kind.Checker.bind (Kind.Checker.rule args (body arg)) @_ (Kind.Checker.pure (Unit.new))))
|
|
|
|
|
(Kind.Checker.rule (Kind.Rule.lhs arg args) other) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.too_many_arguments ctx (Kind.Term.get_origin arg @orig @term orig))))
|
|
|
|
|
(Kind.Checker.rule (Kind.Rule.rhs expr) type) = (Kind.Checker.bind (Kind.Checker.set_right_hand_side (Bool.true)) @_ (Kind.Checker.bind (Kind.Checker.check expr type) @_ (Kind.Checker.pure (Unit.new))))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.unify.go (equations: (List (Kind.Equation))) (unsolved: (List (Kind.Equation))) (changed: (Bool)) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.unify.go (List.nil) (List.nil) changed) = (Kind.Checker.pure (Unit.new))
|
|
|
|
|
(Kind.Checker.unify.go (List.nil) unsolved (Bool.true)) = (Kind.Checker.unify.go unsolved (List.nil) (Bool.false))
|
|
|
|
|
(Kind.Checker.unify.go (List.nil) unsolved (Bool.false)) = (Kind.Checker.unify.go.fail unsolved)
|
|
|
|
|
(Kind.Checker.unify.go (List.cons (Kind.Equation.new ctx orig left right) equations) unsolved changed) = (Kind.Checker.bind (Kind.Checker.equal (Kind.Term.eval left) (Kind.Term.eval right)) @is_equal let unify = (Bool.if is_equal @equations @unsolved (Kind.Checker.unify.go equations unsolved (Bool.true)) @equations @unsolved let eqt = (Kind.Equation.new ctx orig left right); (Kind.Checker.unify.go equations (List.cons eqt unsolved) changed)); ((unify equations) unsolved))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.unify.go.fail (equations: (List (Kind.Equation))) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.unify.go.fail (List.nil)) = (Kind.Checker.pure (Unit.new))
|
|
|
|
|
(Kind.Checker.unify.go.fail (List.cons (Kind.Equation.new ctx orig left right) eqts)) = (Kind.Checker.bind (Kind.Checker.error (Kind.Error.type_mismatch ctx orig left right) (Unit.new)) @_ (Kind.Checker.unify.go.fail eqts))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.get_equations : (Kind.Checker (List (Kind.Equation)))
|
|
|
|
|
(Kind.Checker.get_equations) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs eqts)
|
|
|
|
|
// Kind.Checker.set_right_hand_side (rhs: (Bool)) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.set_right_hand_side to_rhs) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth to_rhs subst eqts errs (Unit.new))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker (a: Type) : Type
|
|
|
|
|
(Kind.Checker a) = 0
|
|
|
|
@ -379,13 +384,95 @@
|
|
|
|
|
// Kind.Checker.bind -(a: Type) -(b: Type) (checker: (Kind.Checker a)) (then: (_: a) (Kind.Checker b)) : (Kind.Checker b)
|
|
|
|
|
(Kind.Checker.bind checker then) = @context @depth @rhs @subst @eqts @errs (Kind.Checker.bind.result ((((((checker context) depth) rhs) subst) eqts) errs) then)
|
|
|
|
|
|
|
|
|
|
// Kind.Term.get_origin -(r: Type) (term: (Kind.Term)) (got: (_: U60) (_: (Kind.Term)) r) : r
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.typ orig) got) = ((got orig) (Kind.Term.typ orig))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.var orig name index) got) = ((got orig) (Kind.Term.var orig name index))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.hol orig numb) got) = ((got orig) (Kind.Term.hol orig numb))
|
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|
|
|
(Kind.Term.get_origin (Kind.Term.all orig name typ body) got) = ((got orig) (Kind.Term.all orig name typ body))
|
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|
|
|
(Kind.Term.get_origin (Kind.Term.lam orig name body) got) = ((got orig) (Kind.Term.lam orig name body))
|
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|
|
(Kind.Term.get_origin (Kind.Term.let orig name expr body) got) = ((got orig) (Kind.Term.let orig name expr body))
|
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|
|
|
(Kind.Term.get_origin (Kind.Term.ann orig expr typ) got) = ((got orig) (Kind.Term.ann orig expr typ))
|
|
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|
|
(Kind.Term.get_origin (Kind.Term.sub orig name indx redx expr) got) = ((got orig) (Kind.Term.sub orig name indx redx expr))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.app orig func arg) got) = ((got orig) (Kind.Term.app orig func arg))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.hlp orig) got) = ((got orig) (Kind.Term.hlp orig))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.u60 orig) got) = ((got orig) (Kind.Term.u60 orig))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.num orig num) got) = ((got orig) (Kind.Term.num orig num))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.op2 orig op left right) got) = ((got orig) (Kind.Term.op2 orig op left right))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct0 ctid orig) got) = ((got orig) (Kind.Term.ct0 ctid orig))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct1 ctid orig x0) got) = ((got orig) (Kind.Term.ct1 ctid orig x0))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct2 ctid orig x0 x1) got) = ((got orig) (Kind.Term.ct2 ctid orig x0 x1))
|
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|
(Kind.Term.get_origin (Kind.Term.ct3 ctid orig x0 x1 x2) got) = ((got orig) (Kind.Term.ct3 ctid orig x0 x1 x2))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct4 ctid orig x0 x1 x2 x3) got) = ((got orig) (Kind.Term.ct4 ctid orig x0 x1 x2 x3))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4) got) = ((got orig) (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5) got) = ((got orig) (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5))
|
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct7 ctid orig args) got) = ((got orig) (Kind.Term.ct7 ctid orig args))
|
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|
|
(Kind.Term.get_origin (Kind.Term.ct8 ctid orig args) got) = ((got orig) (Kind.Term.ct8 ctid orig args))
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn0 fnid orig) got) = ((got orig) (Kind.Term.fn0 fnid orig))
|
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn1 fnid orig x0) got) = ((got orig) (Kind.Term.fn1 fnid orig x0))
|
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn2 fnid orig x0 x1) got) = ((got orig) (Kind.Term.fn2 fnid orig x0 x1))
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn3 fnid orig x0 x1 x2) got) = ((got orig) (Kind.Term.fn3 fnid orig x0 x1 x2))
|
|
|
|
|
(Kind.Term.get_origin (Kind.Term.fn4 fnid orig x0 x1 x2 x3) got) = ((got orig) (Kind.Term.fn4 fnid orig x0 x1 x2 x3))
|
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn5 fnid orig x0 x1 x2 x3 x4) got) = ((got orig) (Kind.Term.fn5 fnid orig x0 x1 x2 x3 x4))
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn6 fnid orig x0 x1 x2 x3 x4 x5) got) = ((got orig) (Kind.Term.fn6 fnid orig x0 x1 x2 x3 x4 x5))
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn7 fnid orig args) got) = ((got orig) (Kind.Term.fn7 fnid orig args))
|
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|
|
(Kind.Term.get_origin (Kind.Term.fn8 fnid orig args) got) = ((got orig) (Kind.Term.fn8 fnid orig args))
|
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// Kind.Checker.check (term: (Kind.Term)) (type: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.check (Kind.Term.lam orig name body) type) = (Kind.Checker.bind (Kind.Checker.get_subst) @subst let fun = (Kind.Term.if_all type @t_orig @t_name @t_type @t_body @orig @name @body (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name dep)) (t_body (Kind.Term.var t_orig t_name dep))) name t_type (List.nil)) @chk (Kind.Checker.pure (Unit.new)))) @orig @name @body (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_lambda ctx orig)))); (((fun orig) name) body))
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|
(Kind.Checker.check (Kind.Term.let orig name expr body) type) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.infer expr) @expr_typ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name dep)) type) name expr_typ (List.cons (Kind.Term.eval expr) (List.nil))) @body_chk (Kind.Checker.pure (Unit.new)))))
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(Kind.Checker.check (Kind.Term.hlp orig) type) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.bind (Kind.Checker.error (Kind.Error.inspection ctx orig type) (Unit.new)) @_ (Kind.Checker.pure (Unit.new))))
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(Kind.Checker.check (Kind.Term.var orig name idx) type) = (Kind.Checker.bind (Kind.Checker.get_right_hand_side) @rhs (Bool.if rhs (Kind.Checker.compare rhs (Kind.Term.var orig name idx) type) (Kind.Checker.extend name type (List.nil))))
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(Kind.Checker.check (Kind.Term.hol orig numb) type) = (Kind.Checker.pure (Unit.new))
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(Kind.Checker.check term type) = (Kind.Checker.bind (Kind.Checker.get_right_hand_side) @rhs (Kind.Checker.compare rhs term type))
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// Kind.Checker.compare (rhs: (Bool)) (term: (Kind.Term)) (type: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.compare rhs term type) = (Kind.Term.get_origin term @orig @term (Kind.Checker.bind (Kind.Checker.infer term) @term_typ let fun = (Bool.if rhs @term_typ @type (Kind.Checker.new_equation orig type term_typ) @term_typ @type (Kind.Checker.bind (Kind.Checker.equal (Kind.Term.eval term_typ) (Kind.Term.eval type)) @is_equal (Bool.if is_equal (Kind.Checker.pure (Unit.new)) (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.impossible_case ctx orig type term_typ)))))); ((fun term_typ) type)))
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// Kind.Checker.new_equation (orig: U60) (left: (Kind.Term)) (right: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.new_equation orig left right) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst (List.append eqts (Kind.Equation.new context orig left right)) errs (Unit.new))
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// List.append -(a: Type) (xs: (List a)) (x: a) : (List a)
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(List.append (List.nil) x) = (List.pure x)
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(List.append (List.cons xs.h xs.t) x) = (List.cons xs.h (List.append xs.t x))
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// Kind.Checker.error -(t: Type) (err: (Kind.Error)) (ret: t) : (Kind.Checker t)
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(Kind.Checker.error err ret) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts (List.cons err errs) ret)
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// Kind.Checker.get_context : (Kind.Checker (Kind.Context))
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(Kind.Checker.get_context) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs context)
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// Kind.Checker.extended -(a: Type) (checker: (Kind.Checker a)) (name: U60) (type: (Kind.Term)) (vals: (List (Kind.Term))) : (Kind.Checker a)
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(Kind.Checker.extended checker name type vals) = (Kind.Checker.bind (Kind.Checker.extend name type vals) @_ (Kind.Checker.bind checker @got (Kind.Checker.bind (Kind.Checker.shrink) @_ (Kind.Checker.pure got))))
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// Kind.Checker.pure -(t: Type) (a: t) : (Kind.Checker t)
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(Kind.Checker.pure res) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs res)
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// Kind.Checker.shrink : (Kind.Checker (Unit))
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(Kind.Checker.shrink) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.shrink context) (- depth 1) rhs subst eqts errs (Unit.new))
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// Kind.Context.shrink (ctx: (Kind.Context)) : (Kind.Context)
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|
|
(Kind.Context.shrink (Kind.Context.empty)) = (Kind.Context.empty)
|
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|
|
(Kind.Context.shrink (Kind.Context.entry name type vals (Kind.Context.empty))) = (Kind.Context.empty)
|
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|
(Kind.Context.shrink (Kind.Context.entry name type vals rest)) = (Kind.Context.entry name type vals (Kind.Context.shrink rest))
|
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// Kind.Checker.extend (name: U60) (type: (Kind.Term)) (vals: (List (Kind.Term))) : (Kind.Checker (Unit))
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|
|
(Kind.Checker.extend name type vals) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.extend context name type vals) (+ depth 1) rhs subst eqts errs (Unit.new))
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// Kind.Context.extend (prev: (Kind.Context)) (name: U60) (term: (Kind.Term)) (ls: (List (Kind.Term))) : (Kind.Context)
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|
|
(Kind.Context.extend (Kind.Context.empty) name type values) = (Kind.Context.entry name type values (Kind.Context.empty))
|
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|
|
(Kind.Context.extend (Kind.Context.entry n t v rest) name type values) = (Kind.Context.entry n t v (Kind.Context.extend rest name type values))
|
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|
|
// Kind.Checker.fail -(t: Type) (err: (Kind.Error)) : (Kind.Checker t)
|
|
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|
|
(Kind.Checker.fail err) = @context @depth @rhs @subst @eqts @errs (Kind.Result.errored context subst (List.cons err errs))
|
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|
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// Kind.Checker.equal (left: (Kind.Term)) (right: (Kind.Term)) : (Kind.Checker (Bool))
|
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|
|
(Kind.Checker.equal (Kind.Term.typ orig) (Kind.Term.typ orig1)) = (Kind.Checker.pure (Bool.true))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.all a.orig a.name a.type a.body) (Kind.Term.all b.orig b.name b.type b.body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.equal a.type b.type) @type (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.equal (a.body (Kind.Term.var a.orig a.name dep)) (b.body (Kind.Term.var b.orig b.name dep))) (Null) (Null) (List.nil)) @body (Kind.Checker.pure (Bool.and type body)))))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.lam a.orig a.name a.body) (Kind.Term.lam b.orig b.name b.body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.equal (a.body (Kind.Term.var a.orig a.name dep)) (b.body (Kind.Term.var b.orig b.name dep))) (Null) (Null) (List.nil)) @body (Kind.Checker.pure body)))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.app a.orig a.func a.argm) (Kind.Term.app b.orig b.func b.argm)) = (Kind.Checker.bind (Kind.Checker.equal a.func b.func) @func (Kind.Checker.bind (Kind.Checker.equal a.argm b.argm) @argm (Kind.Checker.pure (Bool.and func argm))))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.let a.orig a.name a.expr a.body) (Kind.Term.let b.orig b.name b.expr b.body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.equal a.expr b.expr) @expr (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.equal (a.body (Kind.Term.var a.orig a.name dep)) (b.body (Kind.Term.var b.orig b.name dep))) (Null) (Null) (List.nil)) @body (Kind.Checker.pure (Bool.and expr body)))))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.ann a.orig a.expr a.type) (Kind.Term.ann b.orig b.expr b.type)) = (Kind.Checker.bind (Kind.Checker.equal a.expr b.expr) @func (Kind.Checker.bind (Kind.Checker.equal a.type b.type) @arg (Kind.Checker.pure (Bool.and func arg))))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.ann a.orig a.expr a.type) (Kind.Term.ann b.orig b.expr b.type)) = (Kind.Checker.bind (Kind.Checker.equal a.expr b.expr) @func (Kind.Checker.bind (Kind.Checker.equal a.type b.type) @type (Kind.Checker.pure (Bool.and func type))))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.sub a.orig a.name a.indx a.redx a.expr) (Kind.Term.sub b.orig b.name b.indx b.redx b.expr)) = (Kind.Checker.bind (Kind.Checker.equal a.expr b.expr) @func (Kind.Checker.pure func))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.u60 a.orig) (Kind.Term.u60 b.orig)) = (Kind.Checker.pure (Bool.true))
|
|
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|
|
(Kind.Checker.equal (Kind.Term.num a.orig a.num) (Kind.Term.num b.orig b.num)) = (Kind.Checker.pure (U60.equal a.num b.num))
|
|
|
|
|
(Kind.Checker.equal (Kind.Term.op2 a.orig a.op a.val0 a.val1) (Kind.Term.op2 b.orig b.op b.val0 b.val1)) = let op = (Kind.Operator.equal a.op b.op); (Kind.Checker.bind (Kind.Checker.equal a.val0 b.val0) @val0 (Kind.Checker.bind (Kind.Checker.equal a.val1 b.val1) @val1 (Kind.Checker.pure (Bool.and op (Bool.and val0 val1)))))
|
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|
@ -432,6 +519,14 @@
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|
(Kind.Checker.equal.hol.val (Maybe.none) orig numb b) = (Kind.Checker.bind (Kind.Checker.fill numb b) @_ (Kind.Checker.pure (Bool.true)))
|
|
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|
|
(Kind.Checker.equal.hol.val (Maybe.some val) orig numb b) = (Kind.Checker.equal val b)
|
|
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|
|
// Kind.Checker.find -(r: Type) (index: U60) (alt: r) (fun: (_: U60) (_: (Kind.Term)) (_: (List (Kind.Term))) r) : (Kind.Checker r)
|
|
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|
|
(Kind.Checker.find index alt fun) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs (Kind.Context.find context index alt fun))
|
|
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|
|
|
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|
|
// Kind.Context.find -(res: Type) (ctx: (Kind.Context)) (name: U60) (alt: res) (fun: (_: U60) (_: (Kind.Term)) (_: (List (Kind.Term))) res) : res
|
|
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|
|
(Kind.Context.find (Kind.Context.entry name type vals rest) 0 alt fun) = (((fun name) type) vals)
|
|
|
|
|
(Kind.Context.find (Kind.Context.entry name type vals rest) n alt fun) = (Kind.Context.find rest (- n 1) alt fun)
|
|
|
|
|
(Kind.Context.find (Kind.Context.empty) n alt fun) = alt
|
|
|
|
|
|
|
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|
|
// U60.equal (a: U60) (b: U60) : (Bool)
|
|
|
|
|
(U60.equal a b) = (U60.to_bool (== a b))
|
|
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|
|
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|
|
@ -464,68 +559,6 @@
|
|
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|
|
// Kind.Checker.get_subst : (Kind.Checker (Kind.Subst))
|
|
|
|
|
(Kind.Checker.get_subst) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs subst)
|
|
|
|
|
|
|
|
|
|
// Bool.and (a: (Bool)) (b: (Bool)) : (Bool)
|
|
|
|
|
(Bool.and (Bool.true) b) = b
|
|
|
|
|
(Bool.and (Bool.false) b) = (Bool.false)
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.extended -(a: Type) (checker: (Kind.Checker a)) (name: U60) (type: (Kind.Term)) (vals: (List (Kind.Term))) : (Kind.Checker a)
|
|
|
|
|
(Kind.Checker.extended checker name type vals) = (Kind.Checker.bind (Kind.Checker.extend name type vals) @_ (Kind.Checker.bind checker @got (Kind.Checker.bind (Kind.Checker.shrink) @_ (Kind.Checker.pure got))))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.shrink : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.shrink) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.shrink context) (- depth 1) rhs subst eqts errs (Unit.new))
|
|
|
|
|
|
|
|
|
|
// Kind.Context.shrink (ctx: (Kind.Context)) : (Kind.Context)
|
|
|
|
|
(Kind.Context.shrink (Kind.Context.empty)) = (Kind.Context.empty)
|
|
|
|
|
(Kind.Context.shrink (Kind.Context.entry name type vals (Kind.Context.empty))) = (Kind.Context.empty)
|
|
|
|
|
(Kind.Context.shrink (Kind.Context.entry name type vals rest)) = (Kind.Context.entry name type vals (Kind.Context.shrink rest))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.pure -(t: Type) (a: t) : (Kind.Checker t)
|
|
|
|
|
(Kind.Checker.pure res) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs res)
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.extend (name: U60) (type: (Kind.Term)) (vals: (List (Kind.Term))) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.extend name type vals) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.extend context name type vals) (+ depth 1) rhs subst eqts errs (Unit.new))
|
|
|
|
|
|
|
|
|
|
// Kind.Context.extend (prev: (Kind.Context)) (name: U60) (term: (Kind.Term)) (ls: (List (Kind.Term))) : (Kind.Context)
|
|
|
|
|
(Kind.Context.extend (Kind.Context.empty) name type values) = (Kind.Context.entry name type values (Kind.Context.empty))
|
|
|
|
|
(Kind.Context.extend (Kind.Context.entry n t v rest) name type values) = (Kind.Context.entry n t v (Kind.Context.extend rest name type values))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.look (index: U60) : (Kind.Checker (Maybe (Kind.Term)))
|
|
|
|
|
(Kind.Checker.look index) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs (Kind.Subst.look subst index))
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.get_depth : (Kind.Checker U60)
|
|
|
|
|
(Kind.Checker.get_depth) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs depth)
|
|
|
|
|
|
|
|
|
|
// Kind.Checker.fill (index: U60) (val: (Kind.Term)) : (Kind.Checker (Unit))
|
|
|
|
|
(Kind.Checker.fill index val) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs (Kind.Subst.fill subst index val) eqts errs (Unit.new))
|
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|
|
|
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|
|
// Kind.Subst.fill (subst: (Kind.Subst)) (depth: U60) (term: (Kind.Term)) : (Kind.Subst)
|
|
|
|
|
(Kind.Subst.fill (Kind.Subst.end) 0 term) = (Kind.Subst.sub term (Kind.Subst.end))
|
|
|
|
|
(Kind.Subst.fill (Kind.Subst.unfilled rest) 0 term) = (Kind.Subst.sub term rest)
|
|
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(Kind.Subst.fill (Kind.Subst.sub lost rest) 0 term) = (Kind.Subst.sub term rest)
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(Kind.Subst.fill (Kind.Subst.end) n term) = (Kind.Subst.unfilled (Kind.Subst.fill (Kind.Subst.end) (- n 1) term))
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(Kind.Subst.fill (Kind.Subst.unfilled rest) n term) = (Kind.Subst.unfilled (Kind.Subst.fill rest (- n 1) term))
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(Kind.Subst.fill (Kind.Subst.sub keep rest) n term) = (Kind.Subst.sub keep (Kind.Subst.fill rest (- n 1) term))
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// Kind.Checker.add_value (idx: U60) (val: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.add_value idx val) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.add_value context idx val) depth rhs subst eqts errs (Unit.new))
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// Kind.Context.add_value (prev: (Kind.Context)) (name: U60) (term: (Kind.Term)) : (Kind.Context)
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(Kind.Context.add_value (Kind.Context.entry name type vals rest) 0 val) = (Kind.Context.entry name type (List.cons val vals) rest)
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(Kind.Context.add_value (Kind.Context.entry name type vals rest) n val) = (Kind.Context.entry name type vals (Kind.Context.add_value rest (- n 1) val))
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(Kind.Context.add_value (Kind.Context.empty) n val) = (Kind.Context.empty)
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// Bool.or (a: (Bool)) (b: (Bool)) : (Bool)
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(Bool.or (Bool.true) b) = (Bool.true)
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(Bool.or (Bool.false) b) = b
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// Kind.Checker.find -(r: Type) (index: U60) (alt: r) (fun: (_: U60) (_: (Kind.Term)) (_: (List (Kind.Term))) r) : (Kind.Checker r)
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(Kind.Checker.find index alt fun) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs (Kind.Context.find context index alt fun))
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// Kind.Context.find -(res: Type) (ctx: (Kind.Context)) (name: U60) (alt: res) (fun: (_: U60) (_: (Kind.Term)) (_: (List (Kind.Term))) res) : res
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(Kind.Context.find (Kind.Context.entry name type vals rest) 0 alt fun) = (((fun name) type) vals)
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(Kind.Context.find (Kind.Context.entry name type vals rest) n alt fun) = (Kind.Context.find rest (- n 1) alt fun)
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(Kind.Context.find (Kind.Context.empty) n alt fun) = alt
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// Kind.Term.fillable (term: (Kind.Term)) (sub: (Kind.Subst)) : (Bool)
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(Kind.Term.fillable term (Kind.Subst.end)) = (Bool.false)
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(Kind.Term.fillable (Kind.Term.typ orig) sub) = (Bool.false)
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@ -538,6 +571,7 @@
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(Kind.Term.fillable (Kind.Term.app orig expr typ) sub) = (Bool.or (Kind.Term.fillable expr sub) (Kind.Term.fillable typ sub))
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(Kind.Term.fillable (Kind.Term.let orig name expr body) sub) = (Bool.or (Kind.Term.fillable expr sub) (Kind.Term.fillable (body (Kind.Term.hlp 0)) sub))
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(Kind.Term.fillable (Kind.Term.ann orig expr typ) sub) = (Bool.or (Kind.Term.fillable expr sub) (Kind.Term.fillable typ sub))
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(Kind.Term.fillable (Kind.Term.sub orig name indx redx expr) sub) = (Kind.Term.fillable expr sub)
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(Kind.Term.fillable (Kind.Term.op2 orig op left right) sub) = (Bool.or (Kind.Term.fillable left sub) (Kind.Term.fillable right sub))
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(Kind.Term.fillable (Kind.Term.hol orig numb) sub) = (Maybe.is_some (Kind.Subst.look sub numb))
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(Kind.Term.fillable (Kind.Term.ct0 ctid orig) sub) = (Bool.false)
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@ -561,10 +595,119 @@
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(Kind.Term.fillable (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6) sub) = (Bool.or (Kind.Term.fillable x0 sub) (Bool.or (Kind.Term.fillable x1 sub) (Bool.or (Kind.Term.fillable x2 sub) (Bool.or (Kind.Term.fillable x3 sub) (Bool.or (Kind.Term.fillable x4 sub) (Bool.or (Kind.Term.fillable x5 sub) (Kind.Term.fillable x6 sub)))))))
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(Kind.Term.fillable (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7) sub) = (Bool.or (Kind.Term.fillable x0 sub) (Bool.or (Kind.Term.fillable x1 sub) (Bool.or (Kind.Term.fillable x2 sub) (Bool.or (Kind.Term.fillable x3 sub) (Bool.or (Kind.Term.fillable x4 sub) (Bool.or (Kind.Term.fillable x5 sub) (Bool.or (Kind.Term.fillable x6 sub) (Kind.Term.fillable x7 sub))))))))
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// Bool.or (a: (Bool)) (b: (Bool)) : (Bool)
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(Bool.or (Bool.true) b) = (Bool.true)
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(Bool.or (Bool.false) b) = b
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// Maybe.is_some -(a: Type) (m: (Maybe a)) : (Bool)
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(Maybe.is_some (Maybe.none)) = (Bool.false)
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(Maybe.is_some (Maybe.some v)) = (Bool.true)
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// Kind.Checker.get_depth : (Kind.Checker U60)
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(Kind.Checker.get_depth) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs depth)
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// Kind.Checker.add_value (idx: U60) (val: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.add_value idx val) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked (Kind.Context.add_value context idx val) depth rhs subst eqts errs (Unit.new))
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// Kind.Context.add_value (prev: (Kind.Context)) (name: U60) (term: (Kind.Term)) : (Kind.Context)
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(Kind.Context.add_value (Kind.Context.entry name type vals rest) 0 val) = (Kind.Context.entry name type (List.cons val vals) rest)
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(Kind.Context.add_value (Kind.Context.entry name type vals rest) n val) = (Kind.Context.entry name type vals (Kind.Context.add_value rest (- n 1) val))
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(Kind.Context.add_value (Kind.Context.empty) n val) = (Kind.Context.empty)
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// Kind.Checker.look (index: U60) : (Kind.Checker (Maybe (Kind.Term)))
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(Kind.Checker.look index) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs (Kind.Subst.look subst index))
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// Bool.and (a: (Bool)) (b: (Bool)) : (Bool)
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(Bool.and (Bool.true) b) = b
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(Bool.and (Bool.false) b) = (Bool.false)
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// Kind.Checker.fill (index: U60) (val: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.fill index val) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs (Kind.Subst.fill subst index val) eqts errs (Unit.new))
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// Kind.Subst.fill (subst: (Kind.Subst)) (depth: U60) (term: (Kind.Term)) : (Kind.Subst)
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(Kind.Subst.fill (Kind.Subst.end) 0 term) = (Kind.Subst.sub term (Kind.Subst.end))
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(Kind.Subst.fill (Kind.Subst.unfilled rest) 0 term) = (Kind.Subst.sub term rest)
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(Kind.Subst.fill (Kind.Subst.sub lost rest) 0 term) = (Kind.Subst.sub term rest)
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(Kind.Subst.fill (Kind.Subst.end) n term) = (Kind.Subst.unfilled (Kind.Subst.fill (Kind.Subst.end) (- n 1) term))
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|
(Kind.Subst.fill (Kind.Subst.unfilled rest) n term) = (Kind.Subst.unfilled (Kind.Subst.fill rest (- n 1) term))
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(Kind.Subst.fill (Kind.Subst.sub keep rest) n term) = (Kind.Subst.sub keep (Kind.Subst.fill rest (- n 1) term))
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// Kind.Checker.infer_args (args: (Kind.Term)) : (_: U60) (_: U60) (Kind.Term)
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(Kind.Checker.infer_args (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6)) = @ctid @orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4) x5) x6)
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(Kind.Checker.infer_args (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7)) = @ctid @orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4) x5) x6) x7)
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// Kind.Checker.infer (term: (Kind.Term)) : (Kind.Checker (Kind.Term))
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|
|
(Kind.Checker.infer (Kind.Term.var orig name index)) = (Kind.Checker.bind (Kind.Checker.find index (Maybe.none) @n @t @v (Maybe.some t)) @got_type (Maybe.match got_type (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.unbound_variable ctx orig))) @got_type.value (Kind.Checker.pure got_type.value)))
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|
|
(Kind.Checker.infer (Kind.Term.hol orig numb)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_hole ctx orig)))
|
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|
|
(Kind.Checker.infer (Kind.Term.typ orig)) = (Kind.Checker.pure (Kind.Term.typ orig))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.all orig name type body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @depth (Kind.Checker.bind (Kind.Checker.check type (Kind.Term.typ orig)) @_ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name depth)) (Kind.Term.typ orig)) name (Kind.Term.eval type) (List.nil)) @_ (Kind.Checker.pure (Kind.Term.typ orig)))))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.lam orig name body)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_lambda ctx orig)))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.app orig func argm)) = (Kind.Checker.bind (Kind.Checker.get_subst) @subst (Kind.Checker.bind (Kind.Checker.infer func) @func_typ (Kind.Term.if_all func_typ @func_orig @func_name @func_type @func_body (Kind.Checker.bind (Kind.Checker.check argm func_type) @_ (Kind.Checker.pure (func_body (Kind.Term.eval argm)))) (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.invalid_call ctx orig))))))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.let orig name expr body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.infer expr) @expr_typ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.infer (body (Kind.Term.var orig name dep))) name expr_typ (List.cons (Kind.Term.eval expr) (List.nil))) @body_typ (Kind.Checker.pure body_typ))))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ann orig expr type)) = let type = (Kind.Term.eval type); (Kind.Checker.bind (Kind.Checker.check expr type) @_ (Kind.Checker.pure type))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.sub orig name indx redx expr)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.find indx (Maybe.none) @n @t @v (Maybe.some (Pair.new t v))) @got (Maybe.match got (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.unbound_variable ctx orig))) @got.value (Pair.match got.value @got.value.fst @got.value.snd (Maybe.match (List.at.u60 got.value.snd redx) (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.unbound_variable ctx orig))) @reduction.value (Kind.Checker.bind (Kind.Checker.infer expr) @expr_typ (Kind.Checker.pure (Kind.Term.eval (Kind.Term.replace expr_typ indx reduction.value)))))))))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct0 ctid orig)) = (Kind.Checker.pure (Kind.Term.eval (TypeOf ctid)))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct1 ctid orig x0)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct2 ctid orig x0 x1)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct3 ctid orig x0 x1 x2)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct4 ctid orig x0 x1 x2 x3)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4) x5))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.ct7 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.ct8 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn0 ctid orig)) = (Kind.Checker.pure (Kind.Term.eval (TypeOf ctid)))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn1 ctid orig x0)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn2 ctid orig x0 x1)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn3 ctid orig x0 x1 x2)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.fn4 ctid orig x0 x1 x2 x3)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4) x5))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn7 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.fn8 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.hlp orig)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.inspection ctx orig (Kind.Term.hlp 0))))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.u60 orig)) = (Kind.Checker.pure (Kind.Term.typ 0))
|
|
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|
|
(Kind.Checker.infer (Kind.Term.num orig numb)) = (Kind.Checker.pure (Kind.Term.u60 0))
|
|
|
|
|
(Kind.Checker.infer (Kind.Term.op2 orig oper left right)) = (Kind.Checker.bind (Kind.Checker.check left (Kind.Term.u60 0)) @_ (Kind.Checker.bind (Kind.Checker.check right (Kind.Term.u60 0)) @_ (Kind.Checker.pure (Kind.Term.u60 0))))
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|
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|
|
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|
|
|
|
// Kind.Term.replace (term: (Kind.Term)) (index: U60) (value: (Kind.Term)) : (Kind.Term)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.typ orig) idx val) = (Kind.Term.typ orig)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.var orig name index) idx val) = (Bool.if (U60.equal idx index) val (Kind.Term.var orig name index))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.all orig name typ body) idx val) = (Kind.Term.all orig name (Kind.Term.replace typ idx val) @x (Kind.Term.replace (body x) idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.lam orig name body) idx val) = (Kind.Term.lam orig name @x (Kind.Term.replace (body x) idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.let orig name expr body) idx val) = (Kind.Term.let orig name (Kind.Term.replace expr idx val) @x (Kind.Term.replace (body x) idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ann orig expr typ) idx val) = (Kind.Term.ann orig (Kind.Term.replace expr idx val) (Kind.Term.replace typ idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.sub orig name indx redx expr) idx val) = (Kind.Term.sub orig name indx redx (Kind.Term.replace expr idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.app orig expr typ) idx val) = (Kind.Term.app orig (Kind.Term.replace expr idx val) (Kind.Term.replace typ idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.hlp orig) idx val) = (Kind.Term.hlp orig)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.u60 orig) idx val) = (Kind.Term.u60 orig)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.num orig num) idx val) = (Kind.Term.num orig num)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.op2 orig op left right) idx val) = (Kind.Term.op2 orig op (Kind.Term.replace left idx val) (Kind.Term.replace right idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ct0 ctid orig) idx val) = (Kind.Term.ct0 ctid orig)
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ct1 ctid orig x0) idx val) = (Kind.Term.ct1 ctid orig (Kind.Term.replace x0 idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ct2 ctid orig x0 x1) idx val) = (Kind.Term.ct2 ctid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ct3 ctid orig x0 x1 x2) idx val) = (Kind.Term.ct3 ctid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val))
|
|
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|
|
(Kind.Term.replace (Kind.Term.ct4 ctid orig x0 x1 x2 x3) idx val) = (Kind.Term.ct4 ctid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val))
|
|
|
|
|
(Kind.Term.replace (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4) idx val) = (Kind.Term.ct5 ctid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val))
|
|
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(Kind.Term.replace (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5) idx val) = (Kind.Term.ct6 ctid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val) (Kind.Term.replace x5 idx val))
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(Kind.Term.replace (Kind.Term.ct7 ctid orig args) idx val) = (Kind.Term.ct7 ctid orig (Kind.Term.replace args idx val))
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(Kind.Term.replace (Kind.Term.ct8 ctid orig args) idx val) = (Kind.Term.ct8 ctid orig (Kind.Term.replace args idx val))
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(Kind.Term.replace (Kind.Term.fn0 fnid orig) idx val) = (Kind.Term.FN0 fnid orig)
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(Kind.Term.replace (Kind.Term.fn1 fnid orig x0) idx val) = (Kind.Term.FN1 fnid orig (Kind.Term.replace x0 idx val))
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(Kind.Term.replace (Kind.Term.fn2 fnid orig x0 x1) idx val) = (Kind.Term.FN2 fnid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val))
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(Kind.Term.replace (Kind.Term.fn3 fnid orig x0 x1 x2) idx val) = (Kind.Term.FN3 fnid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val))
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(Kind.Term.replace (Kind.Term.fn4 fnid orig x0 x1 x2 x3) idx val) = (Kind.Term.FN4 fnid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val))
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(Kind.Term.replace (Kind.Term.fn5 fnid orig x0 x1 x2 x3 x4) idx val) = (Kind.Term.FN5 fnid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val))
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(Kind.Term.replace (Kind.Term.fn6 fnid orig x0 x1 x2 x3 x4 x5) idx val) = (Kind.Term.FN6 fnid orig (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val) (Kind.Term.replace x5 idx val))
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(Kind.Term.replace (Kind.Term.fn7 fnid orig args) idx val) = (Kind.Term.FN7 fnid orig (Kind.Term.replace args idx val))
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(Kind.Term.replace (Kind.Term.fn8 fnid orig args) idx val) = (Kind.Term.FN8 fnid orig (Kind.Term.replace args idx val))
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(Kind.Term.replace (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6) idx val) = (Kind.Term.args7 (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val) (Kind.Term.replace x5 idx val) (Kind.Term.replace x6 idx val))
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(Kind.Term.replace (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7) idx val) = (Kind.Term.args8 (Kind.Term.replace x0 idx val) (Kind.Term.replace x1 idx val) (Kind.Term.replace x2 idx val) (Kind.Term.replace x3 idx val) (Kind.Term.replace x4 idx val) (Kind.Term.replace x5 idx val) (Kind.Term.replace x6 idx val) (Kind.Term.replace x7 idx val))
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(Kind.Term.replace (Kind.Term.hol orig numb) idx val) = (Kind.Term.hol orig numb)
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// Kind.Term.if_all -(res: Type) (term: (Kind.Term)) (if: (_: U60) (_: U60) (_: (Kind.Term)) (_: (_: (Kind.Term)) (Kind.Term)) res) (else: res) : res
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(Kind.Term.if_all (Kind.Term.all orig name typ body) func_if else) = ((((func_if orig) name) typ) body)
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(Kind.Term.if_all other func_if else) = else
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// Kind.Term.eval (term: (Kind.Term)) : (Kind.Term)
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(Kind.Term.eval (Kind.Term.typ orig)) = (Kind.Term.typ orig)
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(Kind.Term.eval (Kind.Term.var orig name index)) = (Kind.Term.var orig name index)
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@ -573,6 +716,7 @@
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(Kind.Term.eval (Kind.Term.lam orig name body)) = (Kind.Term.lam orig name @x (Kind.Term.eval (body x)))
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(Kind.Term.eval (Kind.Term.let orig name expr body)) = (Kind.Term.eval_let orig name (Kind.Term.eval expr) @x (Kind.Term.eval (body x)))
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(Kind.Term.eval (Kind.Term.ann orig expr typ)) = (Kind.Term.eval_ann orig (Kind.Term.eval expr) (Kind.Term.eval typ))
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(Kind.Term.eval (Kind.Term.sub orig name indx redx expr)) = (Kind.Term.eval_sub orig name indx redx (Kind.Term.eval expr))
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(Kind.Term.eval (Kind.Term.app orig expr typ)) = (Kind.Term.eval_app orig (Kind.Term.eval expr) (Kind.Term.eval typ))
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(Kind.Term.eval (Kind.Term.hlp orig)) = (Kind.Term.hlp orig)
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(Kind.Term.eval (Kind.Term.u60 orig)) = (Kind.Term.u60 orig)
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@ -618,119 +762,35 @@
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(Kind.Term.eval_op orig (Kind.Operator.neq) (Kind.Term.num a.orig a.num) (Kind.Term.num b.orig b.num)) = (Kind.Term.num 0 (!= a.num b.num))
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(Kind.Term.eval_op orig op left right) = (Kind.Term.op2 orig op left right)
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// Kind.Checker.error -(t: Type) (err: (Kind.Error)) (ret: t) : (Kind.Checker t)
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(Kind.Checker.error err ret) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts (List.cons err errs) ret)
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// Kind.Checker.check (term: (Kind.Term)) (type: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.check (Kind.Term.lam orig name body) type) = (Kind.Checker.bind (Kind.Checker.get_subst) @subst let fun = (Kind.Term.if_all type @t_orig @t_name @t_type @t_body @orig @name @body (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name dep)) (t_body (Kind.Term.var t_orig t_name dep))) name t_type (List.nil)) @chk (Kind.Checker.pure (Unit.new)))) @orig @name @body (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_lambda ctx orig)))); (((fun orig) name) body))
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(Kind.Checker.check (Kind.Term.let orig name expr body) type) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.infer expr) @expr_typ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name dep)) type) name expr_typ (List.cons (Kind.Term.eval expr) (List.nil))) @body_chk (Kind.Checker.pure (Unit.new)))))
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(Kind.Checker.check (Kind.Term.hlp orig) type) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.bind (Kind.Checker.error (Kind.Error.inspection ctx orig type) (Unit.new)) @_ (Kind.Checker.pure (Unit.new))))
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(Kind.Checker.check (Kind.Term.var orig name idx) type) = (Kind.Checker.bind (Kind.Checker.get_right_hand_side) @rhs (Bool.if rhs (Kind.Checker.compare rhs (Kind.Term.var orig name idx) type) (Kind.Checker.extend name type (List.nil))))
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(Kind.Checker.check (Kind.Term.hol orig numb) type) = (Kind.Checker.pure (Unit.new))
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(Kind.Checker.check term type) = (Kind.Checker.bind (Kind.Checker.get_right_hand_side) @rhs (Kind.Checker.compare rhs term type))
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// Kind.Checker.compare (rhs: (Bool)) (term: (Kind.Term)) (type: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.compare rhs term type) = (Kind.Term.get_origin term @orig @term (Kind.Checker.bind (Kind.Checker.infer term) @term_typ let fun = (Bool.if rhs @term_typ @type (Kind.Checker.new_equation orig type term_typ) @term_typ @type (Kind.Checker.bind (Kind.Checker.equal (Kind.Term.eval term_typ) (Kind.Term.eval type)) @is_equal (Bool.if is_equal (Kind.Checker.pure (Unit.new)) (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.impossible_case ctx orig type term_typ)))))); ((fun term_typ) type)))
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// Kind.Term.if_all -(res: Type) (term: (Kind.Term)) (if: (_: U60) (_: U60) (_: (Kind.Term)) (_: (_: (Kind.Term)) (Kind.Term)) res) (else: res) : res
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(Kind.Term.if_all (Kind.Term.all orig name typ body) func_if else) = ((((func_if orig) name) typ) body)
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(Kind.Term.if_all other func_if else) = else
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// Kind.Checker.new_equation (orig: U60) (left: (Kind.Term)) (right: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.new_equation orig left right) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst (List.append eqts (Kind.Equation.new context orig left right)) errs (Unit.new))
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// List.append -(a: Type) (xs: (List a)) (x: a) : (List a)
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(List.append (List.nil) x) = (List.pure x)
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(List.append (List.cons xs.h xs.t) x) = (List.cons xs.h (List.append xs.t x))
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// Kind.Checker.get_context : (Kind.Checker (Kind.Context))
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(Kind.Checker.get_context) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs context)
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// Kind.Checker.infer_args (args: (Kind.Term)) : (_: U60) (_: U60) (Kind.Term)
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(Kind.Checker.infer_args (Kind.Term.args7 x0 x1 x2 x3 x4 x5 x6)) = @ctid @orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4) x5) x6)
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(Kind.Checker.infer_args (Kind.Term.args8 x0 x1 x2 x3 x4 x5 x6 x7)) = @ctid @orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4) x5) x6) x7)
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// Kind.Checker.infer (term: (Kind.Term)) : (Kind.Checker (Kind.Term))
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(Kind.Checker.infer (Kind.Term.var orig name index)) = (Kind.Checker.bind (Kind.Checker.find index (Maybe.none) @n @t @v (Maybe.some t)) @got_type (Maybe.match got_type (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.unbound_variable ctx orig))) @got_type.value (Kind.Checker.pure got_type.value)))
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(Kind.Checker.infer (Kind.Term.hol orig numb)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_hole ctx orig)))
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(Kind.Checker.infer (Kind.Term.typ orig)) = (Kind.Checker.pure (Kind.Term.typ orig))
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(Kind.Checker.infer (Kind.Term.all orig name type body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @depth (Kind.Checker.bind (Kind.Checker.check type (Kind.Term.typ orig)) @_ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.check (body (Kind.Term.var orig name depth)) (Kind.Term.typ orig)) name (Kind.Term.eval type) (List.nil)) @_ (Kind.Checker.pure (Kind.Term.typ orig)))))
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(Kind.Checker.infer (Kind.Term.lam orig name body)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.cant_infer_lambda ctx orig)))
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(Kind.Checker.infer (Kind.Term.app orig func argm)) = (Kind.Checker.bind (Kind.Checker.get_subst) @subst (Kind.Checker.bind (Kind.Checker.infer func) @func_typ (Kind.Term.if_all func_typ @func_orig @func_name @func_type @func_body (Kind.Checker.bind (Kind.Checker.check argm func_type) @_ (Kind.Checker.pure (func_body (Kind.Term.eval argm)))) (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.invalid_call ctx orig))))))
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(Kind.Checker.infer (Kind.Term.let orig name expr body)) = (Kind.Checker.bind (Kind.Checker.get_depth) @dep (Kind.Checker.bind (Kind.Checker.infer expr) @expr_typ (Kind.Checker.bind (Kind.Checker.extended (Kind.Checker.infer (body (Kind.Term.var orig name dep))) name expr_typ (List.cons (Kind.Term.eval expr) (List.nil))) @body_typ (Kind.Checker.pure body_typ))))
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(Kind.Checker.infer (Kind.Term.ann orig expr type)) = let type = (Kind.Term.eval type); (Kind.Checker.bind (Kind.Checker.check expr type) @_ (Kind.Checker.pure type))
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(Kind.Checker.infer (Kind.Term.ct0 ctid orig)) = (Kind.Checker.pure (Kind.Term.eval (TypeOf ctid)))
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(Kind.Checker.infer (Kind.Term.ct1 ctid orig x0)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0))
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(Kind.Checker.infer (Kind.Term.ct2 ctid orig x0 x1)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1))
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(Kind.Checker.infer (Kind.Term.ct3 ctid orig x0 x1 x2)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2))
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(Kind.Checker.infer (Kind.Term.ct4 ctid orig x0 x1 x2 x3)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3))
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(Kind.Checker.infer (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4))
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(Kind.Checker.infer (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.ct0 ctid orig) x0) x1) x2) x3) x4) x5))
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(Kind.Checker.infer (Kind.Term.ct7 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
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(Kind.Checker.infer (Kind.Term.ct8 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
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(Kind.Checker.infer (Kind.Term.fn0 ctid orig)) = (Kind.Checker.pure (Kind.Term.eval (TypeOf ctid)))
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(Kind.Checker.infer (Kind.Term.fn1 ctid orig x0)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0))
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(Kind.Checker.infer (Kind.Term.fn2 ctid orig x0 x1)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1))
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(Kind.Checker.infer (Kind.Term.fn3 ctid orig x0 x1 x2)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2))
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(Kind.Checker.infer (Kind.Term.fn4 ctid orig x0 x1 x2 x3)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3))
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(Kind.Checker.infer (Kind.Term.fn5 ctid orig x0 x1 x2 x3 x4)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4))
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(Kind.Checker.infer (Kind.Term.fn6 ctid orig x0 x1 x2 x3 x4 x5)) = (Kind.Checker.infer (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.app orig (Kind.Term.fn0 ctid orig) x0) x1) x2) x3) x4) x5))
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(Kind.Checker.infer (Kind.Term.fn7 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
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(Kind.Checker.infer (Kind.Term.fn8 ctid orig args)) = let expr = (Kind.Checker.infer_args args); (Kind.Checker.infer ((expr ctid) orig))
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(Kind.Checker.infer (Kind.Term.hlp orig)) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.inspection ctx orig (Kind.Term.hlp 0))))
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(Kind.Checker.infer (Kind.Term.u60 orig)) = (Kind.Checker.pure (Kind.Term.typ 0))
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(Kind.Checker.infer (Kind.Term.num orig numb)) = (Kind.Checker.pure (Kind.Term.u60 0))
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(Kind.Checker.infer (Kind.Term.op2 orig oper left right)) = (Kind.Checker.bind (Kind.Checker.check left (Kind.Term.u60 0)) @_ (Kind.Checker.bind (Kind.Checker.check right (Kind.Term.u60 0)) @_ (Kind.Checker.pure (Kind.Term.u60 0))))
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// Kind.Checker.fail -(t: Type) (err: (Kind.Error)) : (Kind.Checker t)
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(Kind.Checker.fail err) = @context @depth @rhs @subst @eqts @errs (Kind.Result.errored context subst (List.cons err errs))
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// Kind.Term.get_origin -(r: Type) (term: (Kind.Term)) (got: (_: U60) (_: (Kind.Term)) r) : r
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|
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(Kind.Term.get_origin (Kind.Term.typ orig) got) = ((got orig) (Kind.Term.typ orig))
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(Kind.Term.get_origin (Kind.Term.var orig name index) got) = ((got orig) (Kind.Term.var orig name index))
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(Kind.Term.get_origin (Kind.Term.hol orig numb) got) = ((got orig) (Kind.Term.hol orig numb))
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(Kind.Term.get_origin (Kind.Term.all orig name typ body) got) = ((got orig) (Kind.Term.all orig name typ body))
|
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(Kind.Term.get_origin (Kind.Term.lam orig name body) got) = ((got orig) (Kind.Term.lam orig name body))
|
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(Kind.Term.get_origin (Kind.Term.let orig name expr body) got) = ((got orig) (Kind.Term.let orig name expr body))
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(Kind.Term.get_origin (Kind.Term.ann orig expr typ) got) = ((got orig) (Kind.Term.ann orig expr typ))
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(Kind.Term.get_origin (Kind.Term.app orig func arg) got) = ((got orig) (Kind.Term.app orig func arg))
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(Kind.Term.get_origin (Kind.Term.hlp orig) got) = ((got orig) (Kind.Term.hlp orig))
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|
(Kind.Term.get_origin (Kind.Term.u60 orig) got) = ((got orig) (Kind.Term.u60 orig))
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(Kind.Term.get_origin (Kind.Term.num orig num) got) = ((got orig) (Kind.Term.num orig num))
|
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(Kind.Term.get_origin (Kind.Term.op2 orig op left right) got) = ((got orig) (Kind.Term.op2 orig op left right))
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(Kind.Term.get_origin (Kind.Term.ct0 ctid orig) got) = ((got orig) (Kind.Term.ct0 ctid orig))
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(Kind.Term.get_origin (Kind.Term.ct1 ctid orig x0) got) = ((got orig) (Kind.Term.ct1 ctid orig x0))
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(Kind.Term.get_origin (Kind.Term.ct2 ctid orig x0 x1) got) = ((got orig) (Kind.Term.ct2 ctid orig x0 x1))
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(Kind.Term.get_origin (Kind.Term.ct3 ctid orig x0 x1 x2) got) = ((got orig) (Kind.Term.ct3 ctid orig x0 x1 x2))
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(Kind.Term.get_origin (Kind.Term.ct4 ctid orig x0 x1 x2 x3) got) = ((got orig) (Kind.Term.ct4 ctid orig x0 x1 x2 x3))
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(Kind.Term.get_origin (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4) got) = ((got orig) (Kind.Term.ct5 ctid orig x0 x1 x2 x3 x4))
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(Kind.Term.get_origin (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5) got) = ((got orig) (Kind.Term.ct6 ctid orig x0 x1 x2 x3 x4 x5))
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(Kind.Term.get_origin (Kind.Term.ct7 ctid orig args) got) = ((got orig) (Kind.Term.ct7 ctid orig args))
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(Kind.Term.get_origin (Kind.Term.ct8 ctid orig args) got) = ((got orig) (Kind.Term.ct8 ctid orig args))
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(Kind.Term.get_origin (Kind.Term.fn0 fnid orig) got) = ((got orig) (Kind.Term.fn0 fnid orig))
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(Kind.Term.get_origin (Kind.Term.fn1 fnid orig x0) got) = ((got orig) (Kind.Term.fn1 fnid orig x0))
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(Kind.Term.get_origin (Kind.Term.fn2 fnid orig x0 x1) got) = ((got orig) (Kind.Term.fn2 fnid orig x0 x1))
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(Kind.Term.get_origin (Kind.Term.fn3 fnid orig x0 x1 x2) got) = ((got orig) (Kind.Term.fn3 fnid orig x0 x1 x2))
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(Kind.Term.get_origin (Kind.Term.fn4 fnid orig x0 x1 x2 x3) got) = ((got orig) (Kind.Term.fn4 fnid orig x0 x1 x2 x3))
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(Kind.Term.get_origin (Kind.Term.fn5 fnid orig x0 x1 x2 x3 x4) got) = ((got orig) (Kind.Term.fn5 fnid orig x0 x1 x2 x3 x4))
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(Kind.Term.get_origin (Kind.Term.fn6 fnid orig x0 x1 x2 x3 x4 x5) got) = ((got orig) (Kind.Term.fn6 fnid orig x0 x1 x2 x3 x4 x5))
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(Kind.Term.get_origin (Kind.Term.fn7 fnid orig args) got) = ((got orig) (Kind.Term.fn7 fnid orig args))
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(Kind.Term.get_origin (Kind.Term.fn8 fnid orig args) got) = ((got orig) (Kind.Term.fn8 fnid orig args))
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// Kind.Checker.rule (rule: (Kind.Rule)) (term: (Kind.Term)) : (Kind.Checker (Unit))
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(Kind.Checker.rule (Kind.Rule.lhs arg args) (Kind.Term.all orig name type body)) = (Kind.Checker.bind (Kind.Checker.check arg type) @_ (Kind.Checker.bind (Kind.Checker.rule args (body arg)) @_ (Kind.Checker.pure (Unit.new))))
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(Kind.Checker.rule (Kind.Rule.lhs arg args) other) = (Kind.Checker.bind (Kind.Checker.get_context) @ctx (Kind.Checker.fail (Kind.Error.too_many_arguments ctx (Kind.Term.get_origin arg @orig @term orig))))
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(Kind.Checker.rule (Kind.Rule.rhs expr) type) = (Kind.Checker.bind (Kind.Checker.set_right_hand_side (Bool.true)) @_ (Kind.Checker.bind (Kind.Checker.check expr type) @_ (Kind.Checker.pure (Unit.new))))
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// Kind.Checker.set_right_hand_side (rhs: (Bool)) : (Kind.Checker (Unit))
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(Kind.Checker.set_right_hand_side to_rhs) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth to_rhs subst eqts errs (Unit.new))
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// List.at.u60 -(a: Type) (xs: (List a)) (idx: U60) : (Maybe a)
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(List.at.u60 (List.nil) i) = (Maybe.none)
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(List.at.u60 (List.cons head tail) 0) = (Maybe.some head)
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(List.at.u60 (List.cons head tail) i) = (List.at.u60 tail (- i 1))
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// Kind.Checker.run -(t: Type) (checker: (Kind.Checker t)) (rhs: (Bool)) : (Kind.Result t)
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(Kind.Checker.run checker rhs) = ((((((checker (Kind.Context.empty)) 0) rhs) (Kind.Subst.end)) (List.nil)) (List.nil))
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// String.is_nil (xs: (String)) : (Bool)
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(String.is_nil "") = (Bool.true)
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(String.is_nil (String.cons x xs)) = (Bool.false)
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// Kind.Checker.unify (checker: (Kind.Checker (Unit))) : (Kind.Checker (Unit))
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(Kind.Checker.unify checker) = (Kind.Checker.bind checker @_ (Kind.Checker.bind (Kind.Checker.get_equations) @equations (Kind.Checker.unify.go equations (List.nil) (Bool.false))))
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// Kind.Checker.unify.go (equations: (List (Kind.Equation))) (unsolved: (List (Kind.Equation))) (changed: (Bool)) : (Kind.Checker (Unit))
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(Kind.Checker.unify.go (List.nil) (List.nil) changed) = (Kind.Checker.pure (Unit.new))
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(Kind.Checker.unify.go (List.nil) unsolved (Bool.true)) = (Kind.Checker.unify.go unsolved (List.nil) (Bool.false))
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(Kind.Checker.unify.go (List.nil) unsolved (Bool.false)) = (Kind.Checker.unify.go.fail unsolved)
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(Kind.Checker.unify.go (List.cons (Kind.Equation.new ctx orig left right) equations) unsolved changed) = (Kind.Checker.bind (Kind.Checker.with_context (Kind.Checker.equal (Kind.Term.eval left) (Kind.Term.eval right)) ctx) @is_equal let unify = (Bool.if is_equal @equations @unsolved (Kind.Checker.unify.go equations unsolved (Bool.true)) @equations @unsolved let eqt = (Kind.Equation.new ctx orig left right); (Kind.Checker.unify.go equations (List.cons eqt unsolved) changed)); ((unify equations) unsolved))
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// Kind.Checker.unify.go.fail (equations: (List (Kind.Equation))) : (Kind.Checker (Unit))
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(Kind.Checker.unify.go.fail (List.nil)) = (Kind.Checker.pure (Unit.new))
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(Kind.Checker.unify.go.fail (List.cons (Kind.Equation.new ctx orig left right) eqts)) = (Kind.Checker.bind (Kind.Checker.error (Kind.Error.type_mismatch ctx orig left right) (Unit.new)) @_ (Kind.Checker.unify.go.fail eqts))
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// Kind.Checker.with_context -(a: Type) (checker: (Kind.Checker a)) (context: (Kind.Context)) : (Kind.Checker a)
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(Kind.Checker.with_context checker new_context) = (Kind.Checker.bind (Kind.Checker.set_context new_context) @old_context (Kind.Checker.bind checker @got (Kind.Checker.bind (Kind.Checker.set_context old_context) @_ (Kind.Checker.pure got))))
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// Kind.Checker.set_context (new_context: (Kind.Context)) : (Kind.Checker (Kind.Context))
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(Kind.Checker.set_context new_context) = @old_context @depth @rhs @subst @eqts @errs (Kind.Result.checked new_context depth rhs subst eqts errs old_context)
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// Kind.Checker.get_equations : (Kind.Checker (List (Kind.Equation)))
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(Kind.Checker.get_equations) = @context @depth @rhs @subst @eqts @errs (Kind.Result.checked context depth rhs subst eqts errs eqts)
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// Kind.API.eval_main : (String)
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(Kind.API.eval_main) = (Kind.Printer.text (List.cons (Kind.Term.show (Kind.Term.FN0 (Main.) 0)) (List.cons (String.new_line) (List.cons (String.new_line) (List.nil)))))
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