The Lambda Calculus. Its Syntax and Semantics. Henk Barendregt

The Lambda Calculus. Its Syntax and Semantics


The.Lambda.Calculus.Its.Syntax.and.Semantics.pdf
ISBN: 9781848900660 | 656 pages | 17 Mb


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The Lambda Calculus. Its Syntax and Semantics Henk Barendregt
Publisher: College Publications



We shall here start by writing a type-checker for the usual simply typed lambda-calculus, natural deduction-style. You can describe typeless lambda calculus with just a few formulas in operational semantics. Horrendous syntax of C++ templates. Feb 29, 2012 - One of the really amazing things about this, which I'll show, is that a simply typed lambda calculus is completely semantically equivalent to an intuitionistic propositional logic: each type in the program is a proposition in the logic; The syntax part is easy. It's 100% free, no registration required. The one thing going for functional programming is that it's easy to define and implement. Scientists and researchers in related fields. Types are: A ::= nat\ |\ A\to A type tp = | Nat | Arr of tp * tp Having redexes in the syntax and eliminating them on one side, and having no redexes but instead a function to compute their result is the difference between cut-elimination and cut-admissibility. Oct 21, 2011 - One of the purported advantages of the type-logical approach over, say, generative syntax, is the simple interface with semantics coded into a typed lambda calculus or its intensional variants such as Montague logic. We add a ":" to the notation; the colon has an expression or variable binding on its left, and a type specification on its right. It asserts that whatever is on the left side of the colon has the type specified on the right side. Sep 1, 2011 - Bi-directional type-checking. It isn't necessary for the syntax or semantics to be related to those of the lambda calculus, although they could be. Feb 13, 2013 - The Lambda Calculus.





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