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Axiomatic Domain Theory In Categories Of Partial Maps
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Book Synopsis Axiomatic Domain Theory in Categories of Partial Maps by : Marcelo P. Fiore
Download or read book Axiomatic Domain Theory in Categories of Partial Maps written by Marcelo P. Fiore and published by Cambridge University Press. This book was released on 2004-03-25 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: First systematic account of axiomatic categorical domain theory and functional programming.
Book Synopsis Axiomatic Domain Theory in Categories of Partial Maps by : Marcelo Pablo Fiore
Download or read book Axiomatic Domain Theory in Categories of Partial Maps written by Marcelo Pablo Fiore and published by . This book was released on 1994 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is an investigation into axiomatic categorical domain theory as needed for the denotational semantics of deterministic programming languages. To provide a direct semantic treatment of non-terminating computations, we make partiality the core of our theory. Thus, we focus on categories of partial maps. We study representability of partial maps and show its equivalence with classifiability. We observe that, once partiality is taken as primitive, a notion of approximation may be derived. In fact, two notions of approximation, contextual approximation and specialisation, based on testing and observing partial maps are considered and shown to coincide. Further we characterise when the approximation relation between partial maps is domain-theoretic in the (technical) sense that the category of partial maps Cpo-enriches with respect to it. Concerning the semantics of type constructors in categories of partial maps, we present a characterisation of colimits of diagrams of total maps; study order-enriched partial cartesian closure; and provide conditions to guarantee the existence of the limits needed to solve recursive type equations. Concerning the semantics of recursive types, we motivate the study of enriched algebraic compactness and make it the central concept when interpreting recursive types. We establish the fundamental property of algebraically compact categories, namely that recursive types on them admit canonical interpretations, and show that in algebraically compact categories recursive types reduce to inductive types. Special attention is paid to Cpo-algebraic compactness, leading to the identification of a 2-category of kinds with very strong closure properties. As an application of the theory developed, enriched categorical models of the metalanguage FPC (a type theory with sums, products, exponentials and recursive types) are defined and two abstract examples of models, including domain-theoretic models, are axiomatised. Further, FPC is considered as a programming language with a call-by-value operational semantics and a denotational semantics defined on top of a categorical model. Operational and denotational semantics are related via a computational soundness result. The interpretation of FPC expressions in domain-theoretic Poset-models is observed to be representation-independent. And, to culminate, a computational adequacy result for an axiomatisation of absolute non-trivial domain-theoretic models is proved.
Book Synopsis Category Theory and Computer Science by : Eugenio Moggi
Download or read book Category Theory and Computer Science written by Eugenio Moggi and published by Springer Science & Business Media. This book was released on 1997-08-20 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Conference on Category Theory and Computer Science, CTCS'97, held in Santa Margheria Ligure, Italy, in September 1997. Category theory attracts interest in the theoretical computer science community because of its ability to establish connections between different areas in computer science and mathematics and to provide a few generic principles for organizing mathematical theories. This book presents a selection of 15 revised full papers together with three invited contributions. The topics addressed include reasoning principles for types, rewriting, program semantics, and structuring of logical systems.
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 Science & Business Media. This book was released on 2006-06-26 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.
Author :Philippe de Groote Publisher :Springer Science & Business Media ISBN 13 :9783540626886 Total Pages :420 pages Book Rating :4.6/5 (268 download)
Book Synopsis Typed Lambda Calculi and Applications by : Philippe de Groote
Download or read book Typed Lambda Calculi and Applications written by Philippe de Groote and published by Springer Science & Business Media. This book was released on 1997-03-12 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Typed Lambda Calculi and Applications, TLCA '97, held in Nancy, France, in April 1997. The 24 revised full papers presented in the book were carefully selected from a total of 54 submissions. The book reports the main research advances achieved in the area of typed lambda calculi since the predecessor conference, held in 1995, and competently reflects the state of the art in the area.
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.
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.
Book Synopsis Interactive Theorem Proving by : Gerwin Klein
Download or read book Interactive Theorem Proving written by Gerwin Klein and published by Springer. This book was released on 2014-06-28 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.
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 Computer Science Logic by : Georg Gottlob
Download or read book Computer Science Logic written by Georg Gottlob and published by Springer Science & Business Media. This book was released on 1999-04-28 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Science Logic by : Dirk van Dalen
Download or read book Computer Science Logic written by Dirk van Dalen and published by Springer Science & Business Media. This book was released on 1997-06-18 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: The related fields of fractal image encoding and fractal image analysis have blossomed in recent years. This book, originating from a NATO Advanced Study Institute held in 1995, presents work by leading researchers. It is developing the subjects at an introductory level, but it also has some recent and exciting results in both fields. The book contains a thorough discussion of fractal image compression and decompression, including both continuous and discrete formulations, vector space and hierarchical methods, and algorithmic optimizations. The book also discusses multifractal approaches to image analysis, segmentation, and recognition, including medical applications.
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.
Book Synopsis Computer Science Logic by : Mogens Nielsen
Download or read book Computer Science Logic written by Mogens Nielsen and published by Springer Science & Business Media. This book was released on 1998-05-20 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the strictly refereed post-workshop proceedings of the 11th International Workshop on Computer Science Logic, CSL '97, held as the 1997 Annual Conference of the European Association on Computer Science Logic, EACSL, in Aarhus, Denmark, in August 1997. The volume presents 26 revised full papers selected after two rounds of refereeing from initially 92 submissions; also included are four invited papers. The book addresses all current aspects of computer science logics and its applications and thus presents the state of the art in the area.
Download or read book Realizability written by Jaap van Oosten and published by Elsevier. This book was released on 2008-04-10 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at starting researchers in the field, Realizability gives a rigorous, yet reasonable introduction to the basic concepts of a field which has passed several successive phases of abstraction. Material from previously unpublished sources such as Ph.D. theses, unpublished papers, etc. has been molded into one comprehensive presentation of the subject area. - The first book to date on this subject area- Provides an clear introduction to Realizability with a comprehensive bibliography- Easy to read and mathematically rigorous- Written by an expert in the field
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.
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.
Book Synopsis Continuous Lattices and Domains by : G. Gierz
Download or read book Continuous Lattices and Domains written by G. Gierz and published by Cambridge University Press. This book was released on 2003-03-06 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
