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The Lambda Calculus. Its Syntax and Semantics by Henk Barendregt

The Lambda Calculus. Its Syntax and Semantics Henk Barendregt ebook
ISBN: 9781848900660
Page: 656
Format: pdf
Publisher: College Publications

Can we call lambda calculus a GP PL? Dec 18, 2011 - It's slow, insecure, keeps breaking, unsuitable for any website over half a dozen pages, and has terrible syntax and semantics even worse than the syntax. Aug 13, 2012 - Thus, for instance, ( λ x . Its semantics are strong enough that we can do reasoning from it. There is no such thing as a meaningful program in either the lambda calculus or more common languages like PHP *without* exactly this sort of semantic extension, which is always defined by the implementation, not the abstract language. Syntactic categories and free models. Jan 19, 2012 - It's Turing complete: if a function can be computed by any possible computing device, then it can be written in λ-calculus. The λ calculus has exactly three kinds of expressions: Function definition: a function in λ calculus is an expression, written: λ param . Aug 28, 2013 - It's got the impersonating the lambda calculus in Ruby which is just using procs and pretending that you're programming in the lambda calculus and just using restrain to not rely on any other features of Ruby. (x+1)) is the function which adds one to its argument. Body, which defines a function with one parameter. Mar 1, 2014 - Logic versus type theory in categorical semantics. The supposed advantage of PHP is .. Logic over type theory; Propositions as types. Can we call any language that can define (only) functions a GP To summarize, is it possible to (formally or semiformally) classify a PL as either a DSL or a GP PL based on its syntax and semantics, or is it not an intrinsic property of a PL and is determined by a specific implementation of the PL, a historical context, popular trends, available tools, existing tasks, etc.