Games And Full Abstraction For A Functional Metalanguage With Recursive Types

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Games and Full Abstraction for a Functional Metalanguage with Recursive Types

Author : Guy McCusker
Publisher : Springer Science & Business Media
ISBN 13 : 1447106156
Total Pages : 195 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Games and Full Abstraction for a Functional Metalanguage with Recursive Types by : Guy McCusker

Download or read book Games and Full Abstraction for a Functional Metalanguage with Recursive Types written by Guy McCusker and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a minor revision of the thesis submitted in August 1996; no major changes have been made. However, I would like to take this opportunity to mention that since the thesis was written, discoveries have been made which would allow a substantial simplification and strengthening of the results in Chapters 3 and 6. In particular, it is now possible to model sums correctly in the category I as well as in £, which means that the definability results of Chapter 6 can be stated and proved at the intensional level, making them simpler and much closer in spirit to the original proofs of Abramsky, Jagadeesan, Malacaria, Hyland, Ong and Nickau [10,61,79]. This also leads quite straightforwardly to an understanding of call-by-value languages. Details of these improvements can be found in [14,73]. It is also worth mentioning that progress has been made on some of the topics suggested for future research in Chapter 7. In particular, fully abstract models have been found for various kinds of languages with local variables [8,13-16], and a fully complete games model of the polymorphic language System F has been constructed by Hughes [59]. Guy McCusker February 1998 Acknowledgements First of all, I must thank my supervisor, Samson Abramsky. It was he who first introduced me to game semantics and suggested avenues of research in the area; this book would certainly not exist were it not for him.

Typed Lambda Calculi and Applications

Author : Samson Abramsky
Publisher : Springer
ISBN 13 : 3540454136
Total Pages : 441 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Typed Lambda Calculi and Applications by : Samson Abramsky

Download or read book Typed Lambda Calculi and Applications written by Samson Abramsky and published by Springer. This book was released on 2003-06-29 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 5th International Conference on Typed Lambda Calculi and Applications, TLCA 2001, held in Krakow, Poland in May 2001. The 28 revised full papers presented were carefully reviewed and selected from 55 submissions. The volume reports research results on all current aspects of typed lambda calculi. Among the topics addressed are type systems, subtypes, coalgebraic methods, pi-calculus, recursive games, various types of lambda calculi, reductions, substitutions, normalization, linear logic, cut-elimination, prelogical relations, and mu calculus.

Automata, Languages and Programming

Author : Josep Diaz
Publisher : Springer
ISBN 13 : 3540278362
Total Pages : 1272 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Automata, Languages and Programming by : Josep Diaz

Download or read book Automata, Languages and Programming written by Josep Diaz and published by Springer. This book was released on 2004-07-09 with total page 1272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 31st International Colloquium on Automata, Languages, and Programming (ICALP 2004) was held from July 12 to July 16 in Turku, Finland. This volume contains all contributed papers presented at ICALP 2004, together with the invitedlecturesbyPhilippeFlajolet(INRIA),RobertHarper(CarnegieMellon), Monika Henzinger (Google), Martin Hofmann (Munich), Alexander Razborov (Princeton and Moscow), Wojciech Rytter (Warsaw and NJIT), and Mihalis Yannakakis (Stanford). ICALP is a series of annual conferences of the European Association for Theoretical Computer Science (EATCS). The ?rst ICALP took place in 1972 and the ICALP program currently consists of track A (focusing on algorithms, automata, complexity, and cryptography) and track B (focusing on databases, logics, semantics, and principles of programming). Inresponsetothecallforpapers,theprogramcommitteereceived379papers, 272 for track A and 107 for track B. This is the highest number of submitted papersinthehistoryofICALPconferences.Theprogramcommitteesselected97 papersforinclusionintothescienti?cprogram.Theprogramcommitteefortrack A met on March 27 and 28 in Barcelona and selected 69 papers from track A. TheprogramcommitteefortrackBselected28papersfromtrackBinthecourse of an electronic discussion lasting for two weeks in the second half of March. The selections were based on originality, quality, and relevance to theor- ical computer science. We wish to thank all authors who submitted extended abstracts for consideration, the program committee for its hard work, and all referees who assisted the program committee in the evaluation process.

Domain-theoretic Foundations Of Functional Programming

Author : Thomas Streicher
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106867
Total Pages : 132 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Domain-theoretic Foundations Of Functional Programming by : Thomas Streicher

Download or read book Domain-theoretic Foundations Of Functional Programming written by Thomas Streicher and published by World Scientific Publishing Company. This book was released on 2006-12-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a basis for a PhD course on domain-theoretic semantics of functional programming languages and their meta-mathematical properties. It introduces basic domain theory and the technique of logical relations as developed by Scott and Plotkin. The solution of recursive domain equations is explained in detail.A complete discussion of the famous full abstraction problem for PCF (a functional Kernel language due to Scott and Plotkin) is given including a construction of the fully abstract Milner model using Kripke logical relations.A final chapter introduces computability in Scott domains and shows that this model is fully abstract and universal for appropriate extensions of PCF by parallel language constructs.

Foundations of Software Science and Computational Structures

Author : Andrew D. Gordon
Publisher : Springer Science & Business Media
ISBN 13 : 3540008977
Total Pages : 452 pages
Book Rating : 4.5/5 (4 download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Andrew D. Gordon

Download or read book Foundations of Software Science and Computational Structures written by Andrew D. Gordon and published by Springer Science & Business Media. This book was released on 2003-03-14 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 6th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2003, held in Warsaw, Poland in April 2003. The 26 revised full papers presented together with an invited paper were carefully reviewed and selected from 96 submissions. Among the topics covered are algebraic models; automata and language theory; behavioral equivalences; categorical models; computation processes over discrete and continuous data; computation structures; logics of programs; models of concurrent, reactive, distributed, and mobile systems; process algebras and calculi; semantics of programming languages; software specification and refinement; transition systems; and type systems and type theory.

Semantics and Logics of Computation

Author : Andrew M. Pitts
Publisher : Cambridge University Press
ISBN 13 : 0521580579
Total Pages : 375 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Semantics and Logics of Computation by : Andrew M. Pitts

Download or read book Semantics and Logics of Computation written by Andrew M. Pitts and published by Cambridge University Press. This book was released on 1997-01-30 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to present modern developments in semantics and logics of computation in a way that is accessible to graduate students. The book is based on a summer school at the Isaac Newton Institute and consists of a sequence of linked lecture course by international authorities in the area. The whole set have been edited to form a coherent introduction to these topics, most of which have not been presented pedagogically before.

Proof, Language, and Interaction

Author : Robin Milner
Publisher : MIT Press
ISBN 13 : 9780262161886
Total Pages : 748 pages
Book Rating : 4.1/5 (618 download)

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Book Synopsis Proof, Language, and Interaction by : Robin Milner

Download or read book Proof, Language, and Interaction written by Robin Milner and published by MIT Press. This book was released on 2000 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays reflects the breadth of research in computer science. Following a biography of Robin Milner it contains sections on semantic foundations; programming logic; programming languages; concurrency; and mobility.

Foundations of Software Science and Computation Structures

Author : Christel Baier
Publisher : Springer
ISBN 13 : 3319893661
Total Pages : 586 pages
Book Rating : 4.3/5 (198 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Christel Baier

Download or read book Foundations of Software Science and Computation Structures written by Christel Baier and published by Springer. This book was released on 2018-04-14 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 21st International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2018, which took place in Thessaloniki, Greece, in April 2018, held as part of the European Joint Conference on Theory and Practice of Software, ETAPS 2018.The 31 papers presented in this volume were carefully reviewed and selected from 103 submissions. The papers are organized in topical sections named: semantics; linearity; concurrency; lambda-calculi and types; category theory and quantum control; quantitative models; logics and equational theories; and graphs and automata.

Algol-like Languages

Author : Peter O'Hearn
Publisher : Springer Science & Business Media
ISBN 13 : 147573851X
Total Pages : 345 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Algol-like Languages by : Peter O'Hearn

Download or read book Algol-like Languages written by Peter O'Hearn and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: To construct a compiler for a modern higher-level programming languagel one needs to structure the translation to a machine-like intermediate language in a way that reflects the semantics of the language. little is said about such struc turing in compiler texts that are intended to cover a wide variety of program ming languages. More is said in the Iiterature on semantics-directed compiler construction [1] but here too the viewpoint is very general (though limited to 1 languages with a finite number of syntactic types). On the other handl there is a considerable body of work using the continuation-passing transformation to structure compilers for the specific case of call-by-value languages such as SCHEME and ML [21 3]. ln this paperl we will describe a method of structuring the translation of ALGOL-like languages that is based on the functor-category semantics devel oped by Reynolds [4] and Oles [51 6]. An alternative approach using category theory to structure compilers is the early work of F. L. Morris [7]1 which anticipates our treatment of boolean expressionsl but does not deal with procedures. 2 Types and Syntax An ALGOL-like language is a typed lambda calculus with an unusual repertoire of primitive types. Throughout most of this paper we assume that the primi tive types are comm(and) int(eger)exp(ression) int(eger)acc(eptor) int(eger)var(iable) I and that the set 8 of types is the least set containing these primitive types and closed under the binary operation -.

Theories of Programming Languages

Author : John C. Reynolds
Publisher : Cambridge University Press
ISBN 13 : 1139936255
Total Pages : 514 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Theories of Programming Languages by : John C. Reynolds

Download or read book Theories of Programming Languages written by John C. Reynolds and published by Cambridge University Press. This book was released on 1998-10-13 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1998, this textbook is a broad but rigourous survey of the theoretical basis for the design, definition and implementation of programming languages and of systems for specifying and proving programme behaviour. Both imperative and functional programming are covered, as well as the ways of integrating these aspects into more general languages. Recognising a unity of technique beneath the diversity of research in programming languages, the author presents an integrated treatment of the basic principles of the subject. He identifies the relatively small number of concepts, such as compositional semantics, binding structure, domains, transition systems and inference rules, that serve as the foundation of the field. Assuming only knowledge of elementary programming and mathematics, this text is perfect for advanced undergraduate and beginning graduate courses in programming language theory and also will appeal to researchers and professionals in designing or implementing computer languages.

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.

Automata, Languages and Programming

Author : Luca Aceto
Publisher : Springer
ISBN 13 : 3642220126
Total Pages : 689 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Automata, Languages and Programming by : Luca Aceto

Download or read book Automata, Languages and Programming written by Luca Aceto and published by Springer. This book was released on 2011-06-21 with total page 689 pages. Available in PDF, EPUB and Kindle. Book excerpt: The two-volume set LNCS 6755 and LNCS 6756 constitutes the refereed proceedings of the 38th International Colloquium on Automata, Languages and Programming, ICALP 2011, held in Zürich, Switzerland, in July 2011. The 114 revised full papers (68 papers for track A, 29 for track B, and 17 for track C) presented together with 4 invited talks, 3 best student papers, and 3 best papers were carefully reviewed and selected from a total of 398 submissions. The papers are grouped in three major tracks on algorithms, complexity and games; on logic, semantics, automata, and theory of programming; as well as on foundations of networked computation: models, algorithms and information management.

Foundations of Software Science and Computation Structures

Author : Bart Jacobs
Publisher : Springer
ISBN 13 : 3662496305
Total Pages : 548 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Foundations of Software Science and Computation Structures by : Bart Jacobs

Download or read book Foundations of Software Science and Computation Structures written by Bart Jacobs and published by Springer. This book was released on 2016-03-22 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 19th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2016, which took place in Eindhoven, The Netherlands, in April 2016, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016. The 31 full papers presented in this volume were carefully reviewed and selected from 85 submissions. They were organized in topical sections named: types; recursion and fixed-points; verification and program analysis; automata, logic, games; probabilistic and timed systems; proof theory and lambda calculus; algorithms for infinite systems; and monads.

Higher-Order Computability

Author : John Longley
Publisher : Springer
ISBN 13 : 3662479923
Total Pages : 587 pages
Book Rating : 4.6/5 (624 download)

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Book Synopsis Higher-Order Computability by : John Longley

Download or read book Higher-Order Computability written by John Longley and published by Springer. This book was released on 2015-11-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions under the influence of workers from both mathematical logic and computer science. The ideas of higher-order computability have proved valuable both for elucidating the constructive content of logical systems, and for investigating the expressive power of various higher-order programming languages. In contrast to the well-known situation for first-order functions, it turns out that at higher types there are several different notions of computability competing for our attention, and each of these has given rise to its own strand of research. In this book, the authors offer an integrated treatment that draws together many of these strands within a unifying framework, revealing not only the range of possible computability concepts but the relationships between them. The book will serve as an ideal introduction to the field for beginning graduate students, as well as a reference for advanced researchers

Samson Abramsky on Logic and Structure in Computer Science and Beyond

Author : Alessandra Palmigiano
Publisher : Springer Nature
ISBN 13 : 3031241177
Total Pages : 1149 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Samson Abramsky on Logic and Structure in Computer Science and Beyond by : Alessandra Palmigiano

Download or read book Samson Abramsky on Logic and Structure in Computer Science and Beyond written by Alessandra Palmigiano and published by Springer Nature. This book was released on 2023-09-02 with total page 1149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Samson Abramsky’s wide-ranging contributions to logical and structural aspects of Computer Science have had a major influence on the field. This book is a rich collection of papers, inspired by and extending Abramsky’s work. It contains both survey material and new results, organised around six major themes: domains and duality, game semantics, contextuality and quantum computation, comonads and descriptive complexity, categorical and logical semantics, and probabilistic computation. These relate to different stages and aspects of Abramsky’s work, reflecting its exceptionally broad scope and his ability to illuminate and unify diverse topics. Chapters in the volume include a review of his entire body of work, spanning from philosophical aspects to logic, programming language theory, quantum theory, economics and psychology, and relating it to a theory of unification of sciences using dual adjunctions. The section on game semantics shows how Abramsky’s work has led to a powerful new paradigm for the semantics of computation. The work on contextuality and categorical quantum mechanics has been highly influential, and provides the foundation for increasingly widely used methods in quantum computing. The work on comonads and descriptive complexity is building bridges between currently disjoint research areas in computer science, relating Structure to Power. The volume also includes a scientific autobiography, and an overview of the contributions. The outstanding set of contributors to this volume, including both senior and early career academics, serve as testament to Samson Abramsky’s enduring influence. It will provide an invaluable and unique resource for both students and established researchers.

Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky

Author : Bob Coecke
Publisher : Springer
ISBN 13 : 3642381642
Total Pages : 381 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky by : Bob Coecke

Download or read book Computation, Logic, Games, and Quantum Foundations - The Many Facets of Samson Abramsky written by Bob Coecke and published by Springer. This book was released on 2013-11-18 with total page 381 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift volume, published in honor of Samson Abramsky, contains contributions written by some of his colleagues, former students, and friends. In celebration of the 60th birthday of Samson Abramsky, a conference was held in Oxford, UK, during May 28-30, 2010. The papers in this volume represent his manifold contributions to semantics, logic, games, and quantum mechanics.

Computer Science Logic

Author : Jacques Duparc
Publisher : Springer
ISBN 13 : 3540749152
Total Pages : 611 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Computer Science Logic by : Jacques Duparc

Download or read book Computer Science Logic written by Jacques Duparc and published by Springer. This book was released on 2007-08-24 with total page 611 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 21st International Workshop on Computer Science Logic, CSL 2007, held as the 16th Annual Conference of the EACSL in Lausanne, Switzerland. The 36 revised full papers presented together with the abstracts of six invited lectures are organized in topical sections on logic and games, expressiveness, games and trees, logic and deduction, lambda calculus, finite model theory, linear logic, proof theory, and game semantics.