The Lambda Calculus. Its Syntax and Semantics by Henk Barendregt

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

It's just easier to Similarly, you become dissatisfied with most languages' syntax for method calling when you grasp Smalltalk's message-passing syntax and semantics. Dec 6, 2012 - We present the lambda-bar-mu-mu-tilde, a syntax for lambda-calculus + control operators exhibiting symmetries such as program/context and call-by-name/call-by-value. Mar 7, 2014 - Subsequently, game-semantic techniques led to the development of the first syntax-independent fully-abstract models for a variety of programming languages, ranging from the purely functional to languages effects such as control, Nowadays, game semantics has expanded to a variety of fields in theory and analysis of computation, such as theories of concurrency, semantics of lambda calculi and proofs, program analysis, model checking and hardware synthesis. It asserts that whatever is on the left side of the colon has the type specified on the right side. Jul 11, 2011 - In 1984 verscheen mijn eerste boek: The Lambda Calculus, its Syntax and Semantics. Types are: A ::= nat | A o 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. Suddenly To my delight, Smalltalk blocks have much in common with the lambda calculus functional programming really taught me to appreciate. Sep 1, 2011 - Bi-directional type-checking. Sep 1, 2006 - 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. Dec 5, 2011 - Now I'm getting into Smalltalk 'for real' and finding that the OO-ness of it is not even the main thing I find compelling: it's the live-ness of it. We shall here start by writing a type-checker for the usual simply typed lambda-calculus, natural deduction-style. We add a “:” to the notation; the colon has an expression or variable binding on its left, and a type specification on its right.