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flippac
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A wandering hacker, lost in a maze of abstractions all alike
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2026-01-16 19:02:43
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flippac | A wandering hacker, lost in a maze of abstractions all alike Skip to primary content Skip to secondary content flippac A wandering hacker, lost in a maze of abstractions all alike Search Main menu Home About The Simply-typed Lambda Calculus with Constraints Posted on February 23, 2012 by Philippa Cowderoy 8 Here’s the syntax for the simply-typed lambda calculus (STLC): Here are the typing rules, written in the usual natural deduction style: It turns out that these rules are not only enough to provide typechecking but also type inference if you feed them into Prolog, though that’s far from a coincidence. Type inference for STLC is possible, and Prolog was the result of decades of research into finding proofs (in this case a typing – a proof that a given term has a given type) for problems stated in this style. It’s even less of a coincidence because STLC admits principal typings – so all proofs that a term has a given type are equiva...
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