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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.
20 lines
606 B
Plaintext
20 lines
606 B
Plaintext
String.cmp
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: ∀(a: String) ∀(b: String) Cmp
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= λa λb
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use P = λx ∀(b: String) Cmp
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use cons = λa.head λa.tail λb
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use P = λx ∀(a.head: Char) ∀(a.tail: String) Cmp
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use cons = λb.head λb.tail λa.head λa.tail
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use P = λx Cmp
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use ltn = Cmp.ltn
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use eql = (String.cmp a.tail b.tail)
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use gtn = Cmp.gtn
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(~(U60.cmp a.head b.head) P ltn eql gtn)
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use nil = λa.head λa.tail Cmp.gtn
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(~b P cons nil a.head a.tail)
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use nil = λb
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use P = λx Cmp
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use cons = λb.head λb.tail Cmp.ltn
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use nil = Cmp.eql
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(~b P cons nil)
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(~a P cons nil b) |