Categorical Combinators Sequential Algorithms And Functional Programming
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Categorical Combinators Sequential Algorithms And Functional Programming
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Author : P.-L. Curien
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Categorical Combinators Sequential Algorithms And Functional Programming written by P.-L. Curien and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book is a revised edition of the monograph which appeared under the same title in the series Research Notes in Theoretical Computer Science, Pit man, in 1986. In addition to a general effort to improve typography, English, and presentation, the main novelty of this second edition is the integration of some new material. Part of it is mine (mostly jointly with coauthors). Here is brief guide to these additions. I have augmented the account of categorical combinatory logic with a description of the confluence properties of rewriting systems of categor ical combinators (Hardin, Yokouchi), and of the newly developed cal culi of explicit substitutions (Abadi, Cardelli, Curien, Hardin, Levy, and Rios), which are similar in spirit to the categorical combinatory logic, but are closer to the syntax of A-calculus (Section 1.2). The study of the full abstraction problem for PCF and extensions of it has been enriched with a new full abstraction result: the model of sequential algorithms is fully abstract with respect to an extension of PCF with a control operator (Cartwright, Felleisen, Curien). An order extensional model of error-sensitive sequential algorithms is also fully abstract for a corresponding extension of PCF with a control operator and errors (Sections 2.6 and 4.1). I suggest that sequential algorithms lend themselves to a decomposition of the function spaces that leads to models of linear logic (Lamarche, Curien), and that connects sequentiality with games (Joyal, Blass, Abramsky) (Sections 2.1 and 2.6).
Categorical Combinators Sequential Algorithms And Functional Programming
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Author : Pierre-Louis Curien
language : en
Publisher: Pitman Publishing
Release Date : 1986
Categorical Combinators Sequential Algorithms And Functional Programming written by Pierre-Louis Curien and has been published by Pitman Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Categorical Combinators Sequential Algorithms And Functional Programming
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Author :
language : en
Publisher:
Release Date : 1993
Categorical Combinators Sequential Algorithms And Functional Programming written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Formal languages categories.
Higher Order Computability
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Author : John Longley
language : en
Publisher: Springer
Release Date : 2015-11-06
Higher Order Computability written by John Longley and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-11-06 with Computers categories.
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
Static Analysis
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Author : Patrick Cousot
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-09-08
Static Analysis written by Patrick Cousot and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-08 with Computers categories.
This volume constitutes the proceedings of the third International Workshop on Static Analysis (WSA`93), held in Padova, Italy, in September 1993. The objective of the international workshop series WSA is to serve as a forum for the discussion of the various aspects of static analysis in different programming paradigms. The clearly increasing mumbers of submitted papers and workshop participants point out the growing importance of static analysis techniques for logical, functional, concurrent and parallel languages as well as for parallel term rewriting systems. This proceedings contains, besides the abstracts or full papers of the invited talks given by Pascal Van Hentenryck, Peter van Roy, and Paul Hudak, full versions of the 20 contributed papers selected from a total of 68 submissions by an international program committee consisting of many renown researchers in the field. The volume is organized in sections on fixpoint computation, concurrency, parallelism, transformation, logic programs, term rewriting systems, strictness, reasoning about programs, and types.
Games And Full Abstraction For A Functional Metalanguage With Recursive Types
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Author : Guy McCusker
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Games And Full Abstraction For A Functional Metalanguage With Recursive Types written by Guy McCusker and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Computers categories.
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.
Functional And Logic Programming Proceedings Of The Fuji International Workshop
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Author : Masato Takeichi
language : en
Publisher: World Scientific
Release Date : 1995-11-16
Functional And Logic Programming Proceedings Of The Fuji International Workshop written by Masato Takeichi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-11-16 with categories.
This volume is a compilation of the papers presented at the Fuji International Workshop on Functional and Logic Programming in Fuji, Susono, Japan. Topics include Language Design, Formal Semantics, Compilation Techniques, Program Transformation, Programming Methods, etc.
Semantics Of Programming Languages
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Author : Carl A. Gunter
language : en
Publisher: MIT Press
Release Date : 1992
Semantics Of Programming Languages written by Carl A. Gunter and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computers categories.
Semantics of Programming Languages exposes the basic motivations and philosophy underlying the applications of semantic techniques in computer science. It introduces the mathematical theory of programming languages with an emphasis on higher-order functions and type systems. Designed as a text for upper-level and graduate-level students, the mathematically sophisticated approach will also prove useful to professionals who want an easily referenced description of fundamental results and calculi. Basic connections between computational behavior, denotational semantics, and the equational logic of functional programs are thoroughly and rigorously developed. Topics covered include models of types, operational semantics, category theory, domain theory, fixed point (denotational). semantics, full abstraction and other semantic correspondence criteria, types and evaluation, type checking and inference, parametric polymorphism, and subtyping. All topics are treated clearly and in depth, with complete proofs for the major results and numerous exercises.
Logic And Computer Science
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Author : Steven Homer
language : en
Publisher: Springer
Release Date : 2006-11-14
Logic And Computer Science written by Steven Homer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
The courses given at the 1st C.I.M.E. Summer School of 1988 dealt with the main areas on the borderline between applied logic and theoretical computer science. These courses are recorded here in five expository papers: S. Homer: The Isomorphism Conjecture and its Generalization.- A. Nerode: Some Lectures on Intuitionistic Logic.- R.A. Platek: Making Computers Safe for the World. An Introduction to Proofs of Programs. Part I. - G.E. Sacks: Prolog Programming.- A. Scedrov: A Guide to Polymorphic Types.
Theoretical Aspects Of Computer Software
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Author : Masami Hagiya
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-03-30
Theoretical Aspects Of Computer Software written by Masami Hagiya and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-30 with Computers categories.
This volume contains the proceedings of the Second International Symposium on Theoretical Aspects of Computer Science, held at Tohoku University, Japan in April 1994. This top-level international symposium on theoretical computer science is devoted to theoretical aspects of programming, programming languages and system, and parallel and distributed computation. The papers in the volume are grouped into sessions on: lambda calculus and programming; automated deduction; functional programming; objects and assignments; concurrency; term rewriting and process equivalence; type theory and programming; algebra, categories and linear logic; and subtyping, intersection and union types. The volume also includes seven invited talks and two open lectures.