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The Parametric Lambda Calculus
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Author :Simona Ronchi Della Rocca Publisher :Springer Science & Business Media ISBN 13 :366210394X Total Pages :254 pages Book Rating :4.6/5 (621 download)
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 2013-03-09 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a completely new presentation of classical results in the field of Lambda Calculus, together with new results. The text is unique in that it presents a new calculus (Parametric Lambda Calculus) which can be instantiated to obtain already known lambda-calculi. Some properties, which in the literature have been proved separately for different calculi, can be proved once for the Parametric one. The lambda calculi are presented from a Computer Science point of view, with a particular emphasis on their semantics, both operational and denotational.
Author :Simona Ronchi Della Rocca Publisher :Springer Science & Business Media ISBN 13 :9783540200321 Total Pages :280 pages Book Rating :4.2/5 (3 download)
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.
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.
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.
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 2005-02-18 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.
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.
Book Synopsis Logical Approaches to Computational Barriers by : Arnold Beckmann
Download or read book Logical Approaches to Computational Barriers written by Arnold Beckmann and published by Springer. This book was released on 2006-06-29 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Second International Conference on Computability in Europe, CiE 2006, held in Swansea, UK, June/July 2006. The book presents 31 revised full papers together with 30 invited papers, including papers corresponding to 8 plenary talks and 6 special sessions on proofs and computation, computable analysis, challenges in complexity, foundations of programming, mathematical models of computers and hypercomputers, and Gödel centenary: Gödel's legacy for computability.
Book Synopsis SOFSEM 2008: Theory and Practice of Computer Science by : Viliam Geffert
Download or read book SOFSEM 2008: Theory and Practice of Computer Science written by Viliam Geffert and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 806 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the invited and the contributed papers selected for p- th sentation at SOFSEM 2008, the 34 Conference on Current Trends in Theory and Practice of Computer Science, which was held January 19-25, 2008, in the Atrium Hotel, Novy þ Smokovec, High Tatras in Slovakia. SOFSEM (originally SOFtware SEMinar), as an annual international c- ference devoted to the theory and practice of computer science, aims to foster cooperationamongprofessionalsfromacademiaandindustryworkinginallareas in this?eld. Developing over the years from a local event to a fully international and well-established conference, contemporary SOFSEM continues to maintain the best of its original Winter School aspects, such as a high number of invited talks and in-depth coverage of novel research results in selected areas within computer science. SOFSEM 2008 was organized around the following tracks: - Foundations of Computer Science (Chair: Juhani Karhum· aki) - Computing by Nature (Chair: Alberto Bertoni) - Networks, Security, and Cryptography (Chair: Bart Preneel) - Web Technologies (Chair: Pavol Nþ avrat) The SOFSEM 2008 Program Committee consisted of 75 international - perts, representing active areas of the SOFSEM 2008 tracks with outstanding expertise and an eye for current developments, evaluating the submissions with the help of 169 additional reviewers. An integral part of SOFSEM 2008 was the traditional Student Research - rum (chaired by Ma þria Bielikovþ a), organized with the aim of presenting student projectsinthetheoryandpracticeofcomputerscienceandtogivestudentsfe- back on both originality of their scienti?c results and on their work in progress.
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.
Book Synopsis Foundations of Object-oriented Languages by : Kim B. Bruce
Download or read book Foundations of Object-oriented Languages written by Kim B. Bruce and published by MIT Press. This book was released on 2002 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of the formal underpinnings of object-oriented programming languages.
Book Synopsis Lambda Calculus with Types by : Hendrik Pieter Barendregt
Download or read book Lambda Calculus with Types written by Hendrik Pieter Barendregt and published by Cambridge University Press. This book was released on 2013-06-20 with total page 856 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.
Book Synopsis Fields of Logic and Computation by : Andreas Blass
Download or read book Fields of Logic and Computation written by Andreas Blass and published by Springer Science & Business Media. This book was released on 2010-08-05 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Yuri Gurevich on the occasion of his 70th birthday, contains contributions, written by his colleagues. The collection of articles herein begins with an academic biography, an annotated list of Yuri's publications and reports, and a personal tribute by Jan Van den Bussche. These are followed by 28 technical contributions. These articles - though they cover a broad range of topics - represent only a fraction of Yuri Gurevich’s multiple areas of interest.
Book Synopsis Automata, Languages and Programming by : Michele Bugliesi
Download or read book Automata, Languages and Programming written by Michele Bugliesi and published by Springer Science & Business Media. This book was released on 2006-06-30 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 4051 and LNCS 4052 constitutes the refereed proceedings of the 33rd International Colloquium on Automata, Languages and Programming, ICALP 2006, held in Venice, Italy, July 2006. In all, these volumes present more 100 papers and lectures. Volume II (4052) presents 2 invited papers and 2 additional conference tracks with 24 papers each, focusing on algorithms, automata, complexity and games as well as on security and cryptography foundation.
Book Synopsis The Curry-Howard Isomorphism by : Philippe De Groote
Download or read book The Curry-Howard Isomorphism written by Philippe De Groote and published by . This book was released on 1995 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Typed Lambda Calculi and Applications by : Pierre-Louis Curien
Download or read book Typed Lambda Calculi and Applications written by Pierre-Louis Curien and published by Springer. This book was released on 2009-06-29 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Typed Lambda Calculi and Applications, TLCA 2009, held in Brasilia, Brazil in July 2008 in conjunction with RTA 2007, the 19th International Conference on Rewriting Techniques and Applications as part of RDP 2009, the 5th International Conference on Rewriting, Deduction, and Programming. The 27 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 53 submissions. The papers present original research results that are broadly relevant to the theory and applications of typed calculi and address a wide variety of topics such as proof-theory, semantics, implementation, types, and programming.
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.
Book Synopsis The French School of Programming by : Bertrand Meyer
Download or read book The French School of Programming written by Bertrand Meyer and published by Springer Nature. This book was released on 2023 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zusammenfassung: The French School of Programming is a collection of insightful discussions of programming and software engineering topics, by some of the most prestigious names of French computer science. The authors include several of the originators of such widely acclaimed inventions as abstract interpretation, the Caml, OCaml and Eiffel programming languages, the Coq proof assistant, agents and modern testing techniques. The book is divided into four parts: Software Engineering (A), Programming Language Mechanisms and Type Systems (B), Theory (C), and Language Design and Programming Methodology (D). They are preceded by a Foreword by Bertrand Meyer, the editor of the volume, a Preface by Jim Woodcock providing an outsider's appraisal of the French school's contribution, and an overview chapter by Gérard Berry, recalling his own intellectual journey. Chapter 2, by Marie-Claude Gaudel, presents a 30-year perspective on the evolution of testing starting with her own seminal work. In chapter 3, Michel Raynal covers distributed computing with an emphasis on simplicity. Chapter 4, by Jean-Marc Jézéquel, former director of IRISA, presents the evolution of modeling, from CASE tools to SLE and Machine Learning. Chapter 5, by Joëlle Coutaz, is a comprehensive review of the evolution of Human-Computer Interaction. In part B, chapter 6, by Jean-Pierre Briot, describes the sequence of abstractions that led to the concept of agent. Chapter 7, by Pierre-Louis Curien, is a personal account of a journey through fundamental concepts of semantics, syntax and types. In chapter 8, Thierry Coquand presents "some remarks on dependent type theory". Part C begins with Patrick Cousot's personal historical perspective on his well-known creation, abstract interpretation, in chapter 9. Chapter 10, by Jean-Jacques Lévy, is devoted to tracking redexes in the Lambda Calculus. The final chapter of that part, chapter 11 by Jean-Pierre Jouannaud, presents advances in rewriting systems, specifically the confluence of terminating rewriting computations. Part D contains two longer contributions. Chapter 12 is a review by Giuseppe Castagna of a broad range of programming topics relying on union, intersection and negation types. In the final chapter, Bertrand Meyer covers "ten choices in language design" for object-oriented programming, distinguishing between "right" and "wrong" resolutions of these issues and explaining the rationale behind Eiffel's decisions. This book will be of special interest to anyone with an interest in modern views of programming -- on such topics as programming language design, the relationship between programming and type theory, object-oriented principles, distributed systems, testing techniques, rewriting systems, human-computer interaction, software verification... -- and in the insights of a brilliant group of innovators in the field
