Lambda Calculi

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Lambda Calculus with Types

Author : Henk Barendregt
Publisher : Cambridge University Press
ISBN 13 : 1107276349
Total Pages : 969 pages
Book Rating : 4.1/5 (72 download)

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Book Synopsis Lambda Calculus with Types by : Henk Barendregt

Download or read book Lambda Calculus with Types written by Henk Barendregt and published by Cambridge University Press. This book was released on 2013-06-20 with total page 969 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Domains and Lambda-Calculi

Author : Roberto M. Amadio
Publisher : Cambridge University Press
ISBN 13 : 0521622778
Total Pages : 504 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Domains and Lambda-Calculi by : Roberto M. Amadio

Download or read book Domains and Lambda-Calculi written by Roberto M. Amadio and published by Cambridge University Press. This book was released on 1998-07-02 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.

An Introduction to Functional Programming Through Lambda Calculus

Author : Greg Michaelson
Publisher : Courier Corporation
ISBN 13 : 0486280292
Total Pages : 338 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis An Introduction to Functional Programming Through Lambda Calculus by : Greg Michaelson

Download or read book An Introduction to Functional Programming Through Lambda Calculus written by Greg Michaelson and published by Courier Corporation. This book was released on 2013-04-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Lambda Calculus

Author : H.P. Barendregt
Publisher : North Holland
ISBN 13 :
Total Pages : 648 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Lambda Calculus by : H.P. Barendregt

Download or read book The Lambda Calculus written by H.P. Barendregt and published by North Holland. This book was released on 1984 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revised edition contains a new chapter which provides an elegant description of the semantics. The various classes of lambda calculus models are described in a uniform manner. Some didactical improvements have been made to this edition. An example of a simple model is given and then the general theory (of categorical models) is developed. Indications are given of those parts of the book which can be used to form a coherent course.

An Introduction to Lambda Calculi for Computer Scientists

Author : Chris Hankin
Publisher : College Publications
ISBN 13 : 9780954300654
Total Pages : 164 pages
Book Rating : 4.3/5 (6 download)

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Book Synopsis An Introduction to Lambda Calculi for Computer Scientists by : Chris Hankin

Download or read book An Introduction to Lambda Calculi for Computer Scientists written by Chris Hankin and published by College Publications. This book was released on 2004 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lambda-calculus lies at the very foundations of computer science. Besides its historical role in computability theory it has had significant influence on programming language design and implementation, denotational semantics, and domain theory. The book emphasises the proof theory for the type-free lambda-calculus. The first six chapters concern this calculus and cover the basic theory, reduction, models, computability, and the relationship between the lambda-calculus and combinatory logic. Chapter 7 presents a variety of typed calculi; first the simply typed lambda-calculus, then Milner-style polymorphism and, finally, the polymorphic lambda-calculus. Chapter 8 concerns two variants of the type-free lambda-calculus that have appeared in the research literature: the lazy lambda-calculus, and the lambda sigma-calculus. The final chapter contains references and a guide to further reading. There are exercises throughout. In contrast to earlier books on these topics, which were written by logicians, this book is written from a computer science perspective and emphasises the practical relevance of many of the key theoretical ideas. The book is intended as a course text for final year undergraduates or first year graduate students in computer science. Research students should find it a useful introduction to more specialist literature.

Lambda Calculi

Author : Chris Hankin
Publisher :
ISBN 13 :
Total Pages : 184 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Lambda Calculi by : Chris Hankin

Download or read book Lambda Calculi written by Chris Hankin and published by . This book was released on 1994 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook for final year undergraduates/first year graduates in computer science, as well as a useful introduction for research students seeking a solid introduction to more specialist literature. This text emphasises the role of calculus in programming language design and implementation, denotational semantics, and domain theory. Alternative books on the subject have been written by logicians, but this is the first to have been written from a computer science prespective, invaluable in emphasising the practical relevance of the key theortical ideas.

The Calculi of Lambda-conversion

Author : Alonzo Church
Publisher : Princeton University Press
ISBN 13 : 9780691083940
Total Pages : 112 pages
Book Rating : 4.0/5 (839 download)

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Book Synopsis The Calculi of Lambda-conversion by : Alonzo Church

Download or read book The Calculi of Lambda-conversion written by Alonzo Church and published by Princeton University Press. This book was released on 1985-01-21 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, The Calculi of Lambda Conversion. (AM-6), Volume 6, will be forthcoming.

The Parametric Lambda Calculus

Author : Simona Ronchi Della Rocca
Publisher : Springer Science & Business Media
ISBN 13 : 9783540200321
Total Pages : 280 pages
Book Rating : 4.2/5 (3 download)

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Book Synopsis The Parametric Lambda Calculus by : Simona Ronchi Della Rocca

Download or read book The Parametric Lambda Calculus written by Simona Ronchi Della Rocca and published by Springer Science & Business Media. This book was released on 2004-07-05 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The parametric lambda calculus is a metamodel for reasoning about various kinds of computations. Its syntactic definition is based on the notion of "sets of input values", and different lambda calculi can be obtained from it by instantiating such sets in suitable ways. The parametric lambda calculus is used as a tool for presenting in a uniform way basic notions of programming languages, and for studying with a uniform approach some lambda calculi modeling different kinds of computations, such as call-by-name, both in its lazy and non-lazy versions, and call-by-value. The parametric presentation allows us both to prove in one step all the fundamental properties of different calculi, and to compare them with each other. The book includes some classical results in the field of lambda calculi, but completely rephrased using the parametric approach, together with some new results. The lambda calculi are presented from a computer science viewpoint, with particular emphasis on their semantics, both operational and denotational. This book is dedicated to researchers, and can be used as a textbook for masters or Ph.D. courses on the foundations of computer science.

Abstract Computing Machines

Author : Werner Kluge
Publisher : Springer Science & Business Media
ISBN 13 : 354027359X
Total Pages : 382 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Abstract Computing Machines by : Werner Kluge

Download or read book Abstract Computing Machines written by Werner Kluge and published by Springer Science & Business Media. This book was released on 2005-12-02 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book emphasizes the design of full-fledged, fully normalizing lambda calculus machinery, as opposed to the just weakly normalizing machines.

Lambda-Calculus and Combinators

Author : J. Roger Hindley
Publisher : Cambridge University Press
ISBN 13 : 9780521898850
Total Pages : 358 pages
Book Rating : 4.8/5 (988 download)

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Book Synopsis Lambda-Calculus and Combinators by : J. Roger Hindley

Download or read book Lambda-Calculus and Combinators written by J. Roger Hindley and published by Cambridge University Press. This book was released on 2008-07-24 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Lambda Calculus to Cybersecurity Through Program Analysis

Author : Alessandra Di Pierro
Publisher : Springer Nature
ISBN 13 : 3030411036
Total Pages : 300 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis From Lambda Calculus to Cybersecurity Through Program Analysis by : Alessandra Di Pierro

Download or read book From Lambda Calculus to Cybersecurity Through Program Analysis written by Alessandra Di Pierro and published by Springer Nature. This book was released on 2020-02-14 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift is in honor of Chris Hankin, Professor at the Imperial College in London, UK, on the Occasion of His 65th Birthday. Chris Hankin is a Fellow of the Institute for Security Science and Technology and a Professor of Computing Science. His research is in cyber security, data analytics and semantics-based program analysis. He leads multidisciplinary projects focused on developing advanced visual analytics and providing better decision support to defend against cyber attacks. This Festschrift is a collection of scientific contributions related to the topics that have marked the research career of Professor Chris Hankin. The contributions have been written to honour Chris' career and on the occasion of his retirement.

Typed Lambda Calculi and Applications

Author : Luke Ong
Publisher : Springer Science & Business Media
ISBN 13 : 3642216900
Total Pages : 255 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Luke Ong

Download or read book Typed Lambda Calculi and Applications written by Luke Ong and published by Springer Science & Business Media. This book was released on 2011-05-23 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 10th International Conference on Typed Lambda Calculi and Applications, TLCA 2011, held in Novi Sad, Serbia, in June 2011 as part of RDP 2011, the 6th Federated Conference on Rewriting, Deduction, and Programming. The 15 revised full papers presented were carefully reviewed and selected from 44 submissions. The papers provide prevailing research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts addressing a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.

Typed Lambda Calculi and Applications

Author : Marc Bezem
Publisher : Springer Science & Business Media
ISBN 13 : 9783540565178
Total Pages : 452 pages
Book Rating : 4.5/5 (651 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Marc Bezem

Download or read book Typed Lambda Calculi and Applications written by Marc Bezem and published by Springer Science & Business Media. This book was released on 1993-03-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: The lambda calculus was developed in the 1930s by Alonzo Church. The calculus turned out to be an interesting model of computation and became theprototype for untyped functional programming languages. Operational and denotational semantics for the calculus served as examples for otherprogramming languages. In typed lambda calculi, lambda terms are classified according to their applicative behavior. In the 1960s it was discovered that the types of typed lambda calculi are in fact appearances of logical propositions. Thus there are two possible views of typed lambda calculi: - as models of computation, where terms are viewed as programs in a typed programming language; - as logical theories, where the types are viewed as propositions and the terms as proofs. The practical spin-off from these studies are: - functional programming languages which are mathematically more succinct than imperative programs; - systems for automated proof checking based on lambda caluli. This volume is the proceedings of TLCA '93, the first international conference on Typed Lambda Calculi and Applications,organized by the Department of Philosophy of Utrecht University. It includes29 papers selected from 51 submissions.

Typed Lambda Calculi and Applications

Author : Pawel Urzyczyn
Publisher : Springer Science & Business Media
ISBN 13 : 3540255931
Total Pages : 443 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Pawel Urzyczyn

Download or read book Typed Lambda Calculi and Applications written by Pawel Urzyczyn and published by Springer Science & Business Media. This book was released on 2005-04-07 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Typed Lambda Calculi and Applications, TLCA 2005, held in Nara, Japan in April 2005. The 27 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 61 submissions. The volume reports research results on all current aspects of typed lambda calculi, ranging from theoretical and methodological issues to applications in various contexts.

Lambda-calculus, Combinators and Functional Programming

Author : G. E. Revesz
Publisher : Cambridge University Press
ISBN 13 : 9780521114295
Total Pages : 0 pages
Book Rating : 4.1/5 (142 download)

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Book Synopsis Lambda-calculus, Combinators and Functional Programming by : G. E. Revesz

Download or read book Lambda-calculus, Combinators and Functional Programming written by G. E. Revesz and published by Cambridge University Press. This book was released on 2009-06-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1988, this book presents an introduction to lambda-calculus and combinators without getting lost in the details of mathematical aspects of their theory. Lambda-calculus is treated here as a functional language and its relevance to computer science is clearly demonstrated. The main purpose of the book is to provide computer science students and researchers with a firm background in lambda-calculus and combinators and show the applicabillity of these theories to functional programming. The presentation of the material is self-contained. It can be used as a primary text for a course on functional programming. It can also be used as a supplementary text for courses on the structure and implementation of programming languages, theory of computing, or semantics of programming languages.

Pattern Calculus

Author : Barry Jay
Publisher : Springer Science & Business Media
ISBN 13 : 3540891854
Total Pages : 217 pages
Book Rating : 4.5/5 (48 download)

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Book Synopsis Pattern Calculus by : Barry Jay

Download or read book Pattern Calculus written by Barry Jay and published by Springer Science & Business Media. This book was released on 2009-07-30 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over time, basic research tends to lead to specialization – increasingly narrow t- ics are addressed by increasingly focussed communities, publishing in increasingly con ned workshops and conferences, discussing increasingly incremental contri- tions. Already the community of programming languages is split into various s- communities addressing different aspects and paradigms (functional, imperative, relational, and object-oriented). Only a few people manage to maintain a broader view, and even fewer step back in order to gain an understanding about the basic principles, their interrelation, and their impact in a larger context. The pattern calculus is the result of a profound re-examination of a 50-year - velopment. It attempts to provide a unifying approach, bridging the gaps between different programming styles and paradigms according to a new slogan – compu- tion is pattern matching. It is the contribution of this book to systematically and elegantly present and evaluate the power of pattern matching as the guiding paradigm of programming. Patterns are dynamically generated, discovered, passed, applied, and automatically adapted, based on pattern matching and rewriting technology, which allows one to elegantly relate things as disparate as functions and data structures. Of course, pattern matching is not new. It underlies term rewriting – it is, for example, inc- porated in, typically functional, programming languages, like Standard ML – but it has never been pursued as the basis of a unifying framework for programming.

Typed Lambda Calculi and Applications

Author : Jean-Yves Girard
Publisher : Springer
ISBN 13 : 3540489592
Total Pages : 409 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Jean-Yves Girard

Download or read book Typed Lambda Calculi and Applications written by Jean-Yves Girard and published by Springer. This book was released on 2003-07-31 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Conference on Typed Lambda Calculi and Applications, TLCA'99, held in L'Aquila, Italy in April 1999. The 25 revised full papers presented were carefully reviewed and selected from a total of 50 submissions. Also included are two invited demonstrations. The volume reports research results on various aspects of typed lambda calculi. Among the topics addressed are noncommutative logics, type theory, algebraic data types, logical calculi, abstract data types, and subtyping.