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



, and an interpreter for the simply-typed lambda calculus is your FizzBuzz . May 1, 2013 - But if your interest is more in programming languages than proof assistants, then length-indexed vectors is your Hello, World! We also give a declarative account of what it Putting it all together: semantics of STLC. 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. Syntactic categories and free models. Sep 3, 2011 - I gave a talk a while back which included an interpreter for the pi-calculus, and a compiler from the lambda-calculus to it. But from the point of view of the poor soul who has to do any downstream processing, de Bruijn actually looks like a splendid idea, so we would prefer that. Mar 1, 2014 - Logic versus type theory in categorical semantics. Since we're writing an interpreter in Haskell, we'll It's so that Inp under Rep is always available to receive a message, even if a subprogram is blocking on something else. Logic over type theory; Propositions as types. I didn't really do justice to the material in a few There's a conventional syntax for the π-calculus, which I don't much care for. 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.