The Lambda Calculus. Its Syntax and Semantics by Henk Barendregt

The Lambda Calculus. Its Syntax and Semantics



Download The Lambda Calculus. Its Syntax and Semantics

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


Nov 25, 2011 - Scheme has become the basis for a rich tradition of exploration into the semantics of computation, supported by the regularity of its syntax and its mechanisms for extensibility [5]. You can describe typeless lambda calculus with just a few formulas in operational semantics. Isomorphism between the models is besides the point. Jul 23, 2007 - But since the syntax and semantics aren't recursive in terms of each other, there's no way to make them both recursive, the way satisfaction seems to require. July 1, 2013 at 2:54 PM · Kevin said btw, Y might be Io, at least in terms of syntax. Montague's work showed how with a higher-typed logic and the lambda-calculus (or other ways to talk about functions), NPs could in principle be uniformly interpreted as generalized quantifiers (sets of sets). Fixed-point existence results; for example, versions of Kleene's recursion theorem can be viewed through this lens as simple instances of Cantor's result, as can the existence of fixed point combinators in the lambda calculus (the one that falls right out of Cantor's proof would be the plain-vanilla Y combinator). Represents a different family of functional approaches. But Haskell is not a skin on Lisp (which in turn is a skin on the untyped Lambda calculus), but builds on the typed Lambda calculus, i.e. Systems) and programmes (in the lambda calculus, the Turing machine formalism, or any actual computer), and so on, to linear logic, looking at the subtle tensions which emerge in our understanding of logic as we direct our attention to its hidden symmetries, its procedural aspects, etc. The one thing going for functional programming is that it's easy to define and implement. Apr 30, 2013 - And before the birth of formal semantics in the late 1960's, most linguists and philosophers were agreed that there was a considerable mismatch between the syntactic structure of natural language sentences and their “logical form”. May 21, 2011 - The dominant theme in all three seminars was the gap between syntax and semantics, conceived as site for conceptual and mathematical invention rather than as a call to mimicry. Horrendous syntax of C++ templates. 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. Jul 1, 2013 - Lisp includes both syntax and semantics, and a lot of people want nicer (read: more useful) syntax and they don't like its default semantics.





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