Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 9780691083940
Category : Mathematics
Languages : en
Pages : 112
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Book Description
The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.
Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 1400881935
Category : Mathematics
Languages : en
Pages : 77
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Book Description
The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.
Author: Alonzo Church
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
Author: Alonzo Church
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
Author: Georg P. Loczewski
Publisher: tredition
ISBN: 3746938104
Category : Nature
Languages : en
Pages : 81
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Book Description
The book contains an introduction to the Lambda Calculus as the theoretical foundation of all 'Functional Programming' languages. The Lambda Calculus has been created by the American logician Alonzo Church in the 1930's and is documented in his works published in 1941 under the title 'The Calculi of Lambda Conversion'. Alonzo Church wanted to formulate a mathematical logical system and had no intent to create a programming language. The intrinsic relationship of his system to programming was discovered much later in a time in which programming of computers became an issue. The book 'A++ and the Lambda Calculus' also contains a brief introduction to the educational programming language A++, a minimal programming language that has been built with the Lambda Calculus as its foundation. The purpose of A++ is to serve as a learning instrument rather than as a programming language used to solve practical problems. A++ is supposed to be an excellent tool to become familiar with the core of programming and with programming patterns that can be applied in other languages needed to face the real world. A++ is presented in greater detail in the books: 'A++ The Smallest Programming Language in the World' (978-3-7469-3021-3) and in 'Programmieren lernen mit A++' (978-3-7469-3199-9).
Author: Trevor Norman Vickers
Publisher:
ISBN:
Category : Algorithms
Languages : en
Pages : 34
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Book Description
Author: Henk Barendregt
Publisher: Cambridge University Press
ISBN: 1107276349
Category : Mathematics
Languages : en
Pages : 969
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Book Description
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.
Author: Alonzo Church
Publisher: Princeton University Press
ISBN: 9780691029061
Category : Mathematics
Languages : en
Pages : 396
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Book Description
A classic account of mathematical logic from a pioneering giant in the field Logic is sometimes called the foundation of mathematics: the logician studies the kinds of reasoning used in the individual steps of a proof. Alonzo Church was a pioneer in the field of mathematical logic, whose contributions to number theory and the theories of algorithms and computability laid the theoretical foundations of computer science. His first Princeton book, The Calculi of Lambda-Conversion (1941), established an invaluable tool that computer scientists still use today. Even beyond the accomplishment of that book, however, his second Princeton book, Introduction to Mathematical Logic, defined its subject for a generation. Originally published in Princeton's Annals of Mathematics Studies series, this book was revised in 1956 and reprinted a third time, in 1996, in the Princeton Landmarks in Mathematics series. Although new results in mathematical logic have been developed and other textbooks have been published, it remains, sixty years later, a basic source for understanding formal logic. Church was one of the principal founders of the Association for Symbolic Logic; he founded the Journal of Symbolic Logic in 1936 and remained an editor until 1979. At his death in 1995, Church was still regarded as the greatest mathematical logician in the world.
Author: J. Roger Hindley
Publisher: Cambridge University Press
ISBN: 9780521898850
Category : Computers
Languages : en
Pages : 358
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Book Description
Combinatory logic and lambda-calculus, originally devised in the 1920's, 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 long-awaited new version is thoroughly revised and offers a fully up-to-date 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 covered. Lambda-calculus models, which lie behind much of the semantics of programming languages, are also explained in depth. The treatment is as non-technical as possible, with the main ideas emphasized and illustrated by examples. Many exercises are included, from routine to advanced, with solutions to most at the end of the book.
Author: Greg Michaelson
Publisher: Courier Corporation
ISBN: 0486280292
Category : Mathematics
Languages : en
Pages : 338
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Book Description
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.
