Lambda Calculus with Types

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 fi...

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Hlavní autoři: Barendregt, Henk, Dekkers, Wil, Statman, Richard
Médium: E-kniha Kniha
Jazyk:angličtina
Vydáno: Cambridge Association for Symbolic Logic 20.06.2013
New York Cambridge University Press
Vydání:1
Edice:Perspectives in Logic
Témata:
ISBN:9780521766142, 0521766141, 1107471311, 9781107471313
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Shrnutí: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.
Bibliografie:Includes bibliographical references (p. 791-813) and index
Association for Symbolic Logic.
ISBN:9780521766142
0521766141
1107471311
9781107471313
DOI:10.1017/CBO9781139032636