Domain Theoretic Foundations Of Functional Programming
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Domain Theoretic Foundations Of Functional Programming
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Author : Thomas Streicher
language : en
Publisher: World Scientific Publishing Company
Release Date : 2006-12-04
Domain Theoretic Foundations Of Functional Programming written by Thomas Streicher and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-12-04 with Computers categories.
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.
Non Hausdorff Topology And Domain Theory
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Author : Jean Goubault-Larrecq
language : en
Publisher: Cambridge University Press
Release Date : 2013-03-28
Non Hausdorff Topology And Domain Theory written by Jean Goubault-Larrecq and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Mathematics categories.
This unique book on modern topology looks well beyond traditional treatises and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology is almost never Hausdorff. For the first time in a single volume, this book covers basic material on metric and topological spaces, advanced material on complete partial orders, Stone duality, stable compactness, quasi-metric spaces and much more. An early chapter on metric spaces serves as an invitation to the topic (continuity, limits, compactness, completeness) and forms a complete introductory course by itself. Graduate students and researchers alike will enjoy exploring this treasure trove of results. Full proofs are given, as well as motivating ideas, clear explanations, illuminating examples, application exercises and some more challenging problems for more advanced readers.
Logic And Theory Of Algorithms
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Author : Arnold Beckmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-03
Logic And Theory Of Algorithms written by Arnold Beckmann 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 2008-06-03 with Computers categories.
This book constitutes the refereed proceedings of the 4th International Conference on Computability in Europe, CiE 2008, held in Athens, Greece, in June 2008. The 36 revised full papers presented together with 25 invited tutorials and lectures were carefully reviewed and selected from 108 submissions. Among them are papers of 6 special sessions entitled algorithms in the history of mathematics, formalising mathematics and extracting algorithms from proofs, higher-type recursion and applications, algorithmic game theory, quantum algorithms and complexity, and biology and computation.
Theory And Applications Of Models Of Computation
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Author : Manindra Agrawal
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-08
Theory And Applications Of Models Of Computation written by Manindra Agrawal 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 2008-04-08 with Computers categories.
This book constitutes the refereed proceedings of the 5th International Conference on Theory and Applications of Models of Computation, TAMC 2008, held in Xi'an, China in April 2008. The 48 revised full papers presented together with 2 invited talks and 1 plenary lecture were carefully reviewed and selected from 192 submissions. The papers address current issues of all major areas in computer science, mathematics (especially logic) and the physical sciences - computation, algorithms, complexity and computability theory in particular. With this crossdisciplinary character the conference is given a special flavor and distinction.
The Formal Semantics Of Programming Languages
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Author : Glynn Winskel
language : en
Publisher: MIT Press
Release Date : 1993-02-05
The Formal Semantics Of Programming Languages written by Glynn Winskel and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-05 with Computers categories.
The Formal Semantics of Programming Languages provides the basic mathematical techniques necessary for those who are beginning a study of the semantics and logics of programming languages. These techniques will allow students to invent, formalize, and justify rules with which to reason about a variety of programming languages. Although the treatment is elementary, several of the topics covered are drawn from recent research, including the vital area of concurency. The book contains many exercises ranging from simple to miniprojects.Starting with basic set theory, structural operational semantics is introduced as a way to define the meaning of programming languages along with associated proof techniques. Denotational and axiomatic semantics are illustrated on a simple language of while-programs, and fall proofs are given of the equivalence of the operational and denotational semantics and soundness and relative completeness of the axiomatic semantics. A proof of Godel's incompleteness theorem, which emphasizes the impossibility of achieving a fully complete axiomatic semantics, is included. It is supported by an appendix providing an introduction to the theory of computability based on while-programs. Following a presentation of domain theory, the semantics and methods of proof for several functional languages are treated. The simplest language is that of recursion equations with both call-by-value and call-by-name evaluation. This work is extended to lan guages with higher and recursive types, including a treatment of the eager and lazy lambda-calculi. Throughout, the relationship between denotational and operational semantics is stressed, and the proofs of the correspondence between the operation and denotational semantics are provided. The treatment of recursive types - one of the more advanced parts of the book - relies on the use of information systems to represent domains. The book concludes with a chapter on parallel programming languages, accompanied by a discussion of methods for specifying and verifying nondeterministic and parallel programs.
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
Foundations Of Software Science And Computational Structures
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Author : Luke Ong
language : en
Publisher: Springer
Release Date : 2010-03-10
Foundations Of Software Science And Computational Structures written by Luke Ong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Mathematics categories.
This book constitutes the refereed proceedings of the 13th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2010, held in Paphos, Cyprus, in March 2010, as part of ETAPS 2010, the European Joint Conferences on Theory and Practice of Software. The 25 revised full papers presented together with the abstract of the keynote lecture were carefully reviewed and selected from 86 full paper submissions. The papers are organized in topical sections on semantics of programming languages, probabilistic and randomised computation, concurrency and process theory, modal and temporal logics, verification, categorical and coalgebraic methods, as well as lambda calculus and types.
An Introduction To Functional Programming Through Lambda Calculus
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Author : Greg Michaelson
language : en
Publisher: Courier Corporation
Release Date : 2013-04-10
An Introduction To Functional Programming Through Lambda Calculus written by Greg Michaelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-10 with Mathematics categories.
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.
Type Theory And Functional Programming
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Author : Simon Thompson
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1991
Type Theory And Functional Programming written by Simon Thompson and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Computers categories.
This book explores the role of Martin-Lof s constructive type theory in computer programming. The main focus of the book is how the theory can be successfully applied in practice. Introductory sections provide the necessary background in logic, lambda calculus and constructive mathematics, and exercises and chapter summaries are included to reinforce understanding.
Functional Programming Glasgow 1994
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Author : Kevin Hammond
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Functional Programming Glasgow 1994 written by Kevin Hammond 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 2013-03-09 with Computers categories.
This is the proceedings of the seventh annual workshop held by the Glasgow Functional Programming Group. The purpose of the workshop is to provide a focus for new research, to foster research contacts with other functional language researchers, and to provide a platform for research students to develop their presentation skills. As in previous years, we spent three days closeted together in a pleasant seaside town, isolated from normal work commitments. We were joined by colleagues from other universities (both UK and abroad) and from industry. Workshop participants presented a short talk about their current research work, and produced a paper which appeared in a draft proceedings. These papers were then reviewed and revised in the light of discussions at the workshop and the referees' comments. A selection of those revised papers (the majority of those presented at the workshop) appears here in the published proceedings. The papers themselves cover a wide span, from theoretical work on algebras and bisimilarity to experience with a real-world medical applica tion. Unsurprisingly, given Glasgow's track record, there is a strong emphasis on compilation techniques and optimisations, and there are also several papers on concurrency and parallelism.