Lambda Calculus With Types
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Lambda Calculus with Types
Author | : Henk Barendregt,Wil Dekkers,Richard Statman |
Publsiher | : Cambridge University Press |
Total Pages | : 969 |
Release | : 2013-06-20 |
Genre | : Mathematics |
ISBN | : 9781107276345 |
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This handbook with exercises reveals in formalisms, hitherto mainly used for hardware and software design and verification, unexpected mathematical beauty. The lambda calculus forms a prototype universal programming language, which in its untyped version is related to Lisp, and was treated in the first author's classic The Lambda Calculus (1984). The formalism has since been extended with types and used in functional programming (Haskell, Clean) and proof assistants (Coq, Isabelle, HOL), used in designing and verifying IT products and mathematical proofs. In this book, the authors focus on three classes of typing for lambda terms: simple types, recursive types and intersection types. It is in these three formalisms of terms and types that the unexpected mathematical beauty is revealed. The treatment is authoritative and comprehensive, complemented by an exhaustive bibliography, and numerous exercises are provided to deepen the readers' understanding and increase their confidence using types.
Lambda Calculus with Types
Author | : Hendrik Pieter Barendregt,Wil Dekkers,Richard Statman |
Publsiher | : Cambridge University Press |
Total Pages | : 856 |
Release | : 2013-06-20 |
Genre | : Mathematics |
ISBN | : 9780521766142 |
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This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.
An Introduction to Functional Programming Through Lambda Calculus
Author | : Greg Michaelson |
Publsiher | : Courier Corporation |
Total Pages | : 336 |
Release | : 2013-04-10 |
Genre | : Mathematics |
ISBN | : 9780486280295 |
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Well-respected text for computer science students provides an accessible introduction to functional programming. Cogent examples illuminate the central ideas, and numerous exercises offer reinforcement. Includes solutions. 1989 edition.
Lambda Calculus and Combinators
![Lambda Calculus and Combinators](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : J. Roger Hindley |
Publsiher | : Unknown |
Total Pages | : 359 |
Release | : 2008 |
Genre | : Combinatory logic |
ISBN | : 0511414900 |
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Combinatory logic and lambda-calculus, originally devised in the 1920s, have since developed into linguistic tools, especially useful in programming languages. The authors' previous book served as the main reference for introductory courses on lambda-calculus for over 20 years: this version is thoroughly revised and offers an account of the subject with the same authoritative exposition. The grammar and basic properties of both combinatory logic and lambda-calculus are discussed, followed by an introduction to type-theory. Typed and untyped versions of the systems, and their differences, are c.
Domains and Lambda Calculi
Author | : Roberto M. Amadio,Pierre-Louis Curien |
Publsiher | : Cambridge University Press |
Total Pages | : 504 |
Release | : 1998-07-02 |
Genre | : Computers |
ISBN | : 9780521622776 |
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Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Lecture Notes on the Lambda Calculus
Author | : Peter Selinger |
Publsiher | : Unknown |
Total Pages | : 108 |
Release | : 2018-10-04 |
Genre | : Science |
ISBN | : 0359158854 |
Download Lecture Notes on the Lambda Calculus Book in PDF, Epub and Kindle
This is a set of lecture notes that developed out of courses on the lambda calculus that the author taught at the University of Ottawa in 2001 and at Dalhousie University in 2007 and 2013. Topics covered in these notes include the untyped lambda calculus, the Church-Rosser theorem, combinatory algebras, the simply-typed lambda calculus, the Curry-Howard isomorphism, weak and strong normalization, polymorphism, type inference, denotational semantics, complete partial orders, and the language PCF.
Lambda calculus Types and Models
Author | : Jean Louis Krivine |
Publsiher | : Prentice Hall |
Total Pages | : 200 |
Release | : 1993 |
Genre | : Mathematics |
ISBN | : UCSD:31822016961583 |
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This introduction to lambda-calculus looks at aspects of the theory: combinatory logic, models, and type streams, showing how they interlink and underpin computer science.
Lambda Calculus with Types
![Lambda Calculus with Types](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Henk Barendregt |
Publsiher | : Unknown |
Total Pages | : 857 |
Release | : 2013 |
Genre | : Lambda calculus |
ISBN | : 1107272246 |
Download Lambda Calculus with Types Book in PDF, Epub and Kindle
This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.