Kind/book/Kind.check.kind2
Victor Taelin 85ad65b026 use-notation
Now, there are two local binders:

let x = ...
use x = ...

The 'let' binder will create a local definition, type-check it, and
assign a name to it. When compiled, it will create 'dup' nodes.

The 'use' binder is just an alias. It will not bind a new variable, and,
when compiled, will create inline copies. Also, for type-checking, it
allows creating aliases that are definitionaly equal for the checker.
2024-03-08 17:39:37 -03:00

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Kind.check
: ∀(term: Kind.Term) ∀(type: Kind.Term) ∀(dep: Nat)
(Maybe Kind.Term)
= λterm λtype λdep
use bind = (Maybe.bind Kind.Term Kind.Term)
use pure = (Maybe.some Kind.Term)
use none = (Maybe.none Kind.Term)
use P = λx ∀(type: Kind.Term) ∀(dep: Nat) (Maybe Kind.Term)
use all = λterm.nam λterm.inp λterm.bod λtype λdep
(Kind.verify
(Kind.all term.nam term.inp term.bod)
type
dep
)
use lam = λterm.nam λterm.bod λtype λdep
(Kind.if.all
(Kind.reduce Bool.true type)
∀(dep: Nat) ∀(term.bod: ∀(x: Kind.Term) Kind.Term)
(Maybe Kind.Term)
λtype.nam λtype.inp λtype.bod λdep λterm.bod
use ann = (Kind.ann (Kind.var term.nam dep) type.inp)
use term = (term.bod ann)
use type = (type.bod ann)
(Kind.check term type (Nat.succ dep))
λtype λdep λterm.bod
(Kind.infer (Kind.lam term.nam term.bod) dep)
dep
term.bod
)
use app = λterm.fun λterm.arg λtype λdep
(Kind.verify (Kind.app term.fun term.arg) type dep)
use ann = λval λtyp λtype λdep
(Kind.verify (Kind.ann val typ) type dep)
use slf = λterm.nam λterm.bod λtype λdep
(Kind.verify (Kind.slf term.nam term.bod) type dep)
use ins = λterm.val λtype λdep
(Kind.if.slf
(Kind.reduce Bool.true type)
∀(term.val: Kind.Term) (Maybe Kind.Term)
λtype.nam λtype.bod λterm.val
(Kind.check term.val (type.bod (Kind.ins term.val)) dep)
λtype λterm.val (Kind.infer (Kind.ins term.val) dep)
term.val
)
use ref = λterm.nam λterm.val λtype λdep
(Kind.check term.val type dep)
use def = λterm.nam λterm.val λterm.bod λtype λdep
(Kind.check (term.bod term.val) type (Nat.succ dep))
use set = λtype λdep (Kind.verify Kind.set type dep)
use u60 = λtype λdep (Kind.verify Kind.u60 type dep)
use num = λterm.num λtype λdep
(Kind.verify (Kind.num term.num) type dep)
use op2 = λterm.opr λterm.fst λterm.snd λtype λdep
(Kind.verify
(Kind.op2 term.opr term.fst term.snd)
type
dep
)
use mat = λterm.nam λterm.x λterm.z λterm.s λterm.p λtype λdep
(Kind.verify
(Kind.mat term.nam term.x term.z term.s term.p)
type
dep
)
use txt = λterm.txt λtype λdep
(Kind.verify (Kind.txt term.txt) type dep)
use hol = λterm.nam λterm.ctx λtype λdep (pure Kind.set)
use var = λterm.nam λterm.idx λtype λdep
(Kind.verify (Kind.var term.nam term.idx) type dep)
(~term
P
all
lam
app
ann
slf
ins
ref
def
set
u60
num
op2
mat
txt
hol
var
type
dep
)