Kind/book/Kind.reduce.mat.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.reduce.mat
: ∀(maj: Bool)
∀(nam: String)
∀(x: Kind.Term)
∀(z: Kind.Term)
∀(s: ∀(x: Kind.Term) Kind.Term)
∀(p: ∀(x: Kind.Term) Kind.Term)
Kind.Term
= λmaj λnam λx λz λs λp
use P = ∀(z: Kind.Term) ∀(s: ∀(x: Kind.Term) Kind.Term)
Kind.Term
use Y = λx.val
#match x = x.val {
#0: λz λs (Kind.reduce maj z)
#+: λz λs (Kind.reduce maj (s (Kind.num x-1)))
}: ∀(z: Kind.Term) ∀(s: ∀(x: Kind.Term) Kind.Term)
Kind.Term
use N = λx λz λs (Kind.mat nam x z s p)
(Kind.if.num x P Y N z s)