Domain Theoretic Foundations Of Functional Programming

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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.

The Formal Semantics of Programming Languages

Author : Glynn Winskel
Publisher : MIT Press
ISBN 13 : 9780262731034
Total Pages : 388 pages
Book Rating : 4.7/5 (31 download)

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Book Synopsis The Formal Semantics of Programming Languages by : Glynn Winskel

Download or read book The Formal Semantics of Programming Languages written by Glynn Winskel and published by MIT Press. This book was released on 1993-02-05 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

An Introduction to Functional Programming Through Lambda Calculus

Author : Greg Michaelson
Publisher : Courier Corporation
ISBN 13 : 0486280292
Total Pages : 338 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis An Introduction to Functional Programming Through Lambda Calculus by : Greg Michaelson

Download or read book An Introduction to Functional Programming Through Lambda Calculus written by Greg Michaelson and published by Courier Corporation. This book was released on 2013-04-10 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic and Theory of Algorithms

Author : Arnold Beckmann
Publisher : Springer
ISBN 13 : 3540694072
Total Pages : 613 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Logic and Theory of Algorithms by : Arnold Beckmann

Download or read book Logic and Theory of Algorithms written by Arnold Beckmann and published by Springer. This book was released on 2008-06-11 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: CiE 2008: Logic and Theory of Algorithms Athens, Greece, June 15–20, 2008 Computability in Europe (CiE) is an informal network of European scientists working on computability theory, including its foundations, technical devel- ment, and applications. Among the aims of the network is to advance our t- oretical understanding of what can and cannot be computed, by any means of computation. Its scienti?c vision is broad: computations may be performed with discrete or continuous data by all kinds of algorithms, programs, and - chines. Computations may be made by experimenting with any sort of physical system obeying the laws of a physical theory such as Newtonian mechanics, quantum theory, or relativity. Computations may be very general, depending on the foundations of set theory; or very speci?c, using the combinatorics of ?nite structures. CiE also works on subjects intimately related to computation, especially theories of data and information, and methods for formal reasoning about computations. The sources of new ideas and methods include practical developments in areas such as neural networks, quantum computation, natural computation, molecular computation, computational learning. Applications are everywhere,especially, in algebra,analysisand geometry, or data types and p- gramming. Within CiE there is general recognition of the underlying relevance of computability to physics and a broad range of other sciences, providing as it does a basic analysis of the causal structure of dynamical systems. Thisvolume,Logic andTheory of Algorithms,istheproceedingsofthefourth in a series of conferences of CiE that was held at the University of Athens, June 15–20, 2008.

Non-Hausdorff Topology and Domain Theory

Author : Jean Goubault-Larrecq
Publisher : Cambridge University Press
ISBN 13 : 1107328772
Total Pages : 499 pages
Book Rating : 4.1/5 (73 download)

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Book Synopsis Non-Hausdorff Topology and Domain Theory by : Jean Goubault-Larrecq

Download or read book Non-Hausdorff Topology and Domain Theory written by Jean Goubault-Larrecq and published by Cambridge University Press. This book was released on 2013-03-28 with total page 499 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

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

Semantics of Programming Languages

Author : Carl A. Gunter
Publisher : MIT Press
ISBN 13 : 9780262570954
Total Pages : 450 pages
Book Rating : 4.5/5 (79 download)

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Book Synopsis Semantics of Programming Languages by : Carl A. Gunter

Download or read book Semantics of Programming Languages written by Carl A. Gunter and published by MIT Press. This book was released on 1992 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Functional Programming

Author : Bruce J. MacLennan
Publisher : Addison-Wesley Professional
ISBN 13 :
Total Pages : 616 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Functional Programming by : Bruce J. MacLennan

Download or read book Functional Programming written by Bruce J. MacLennan and published by Addison-Wesley Professional. This book was released on 1990 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical Foundations of Programming Methodology

Author : M. Broy
Publisher : Springer Science & Business Media
ISBN 13 : 9400978936
Total Pages : 655 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Theoretical Foundations of Programming Methodology by : M. Broy

Download or read book Theoretical Foundations of Programming Methodology written by M. Broy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 655 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers presented at the Marktoberdorf Summer School on Theoretical Foundations of Programming Methodology, organized under the auspices of the Technical University Münich and sponsored by the NATO Scientific Affairs Division, Germany, 1981

Theory and Applications of Models of Computation

Author : Manindra Agrawal
Publisher : Springer Science & Business Media
ISBN 13 : 3540792279
Total Pages : 610 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Theory and Applications of Models of Computation by : Manindra Agrawal

Download or read book Theory and Applications of Models of Computation written by Manindra Agrawal and published by Springer Science & Business Media. This book was released on 2008-04-08 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Programming Languages and Systems

Author : Bor-Yuh Evan Chang
Publisher : Springer
ISBN 13 : 3319712373
Total Pages : 559 pages
Book Rating : 4.3/5 (197 download)

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Book Synopsis Programming Languages and Systems by : Bor-Yuh Evan Chang

Download or read book Programming Languages and Systems written by Bor-Yuh Evan Chang and published by Springer. This book was released on 2017-11-17 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 15th Asian Symposium on Programming Languages and Systems, APLAS 2017, held in Suzhou, China, in November 2017. The 24 papers presented in this volume were carefully reviewed and selected from 56 submissions. They were organized in topical sections named: security; heap and equivalence reasoning; concurrency and verification; domain-specific languages; semantics; and numerical reasoning. The volume also contains two invited talks in full-paper length.

Foundations of Software Science and Computational Structures

Author : Luke Ong
Publisher : Springer Science & Business Media
ISBN 13 : 3642120318
Total Pages : 402 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Foundations of Software Science and Computational Structures by : Luke Ong

Download or read book Foundations of Software Science and Computational Structures written by Luke Ong and published by Springer Science & Business Media. This book was released on 2010-03-16 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Type Theory and Functional Programming

Author : Simon Thompson
Publisher : Addison Wesley Publishing Company
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Type Theory and Functional Programming by : Simon Thompson

Download or read book Type Theory and Functional Programming written by Simon Thompson and published by Addison Wesley Publishing Company. This book was released on 1991 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Kevin Hammond
Publisher : Springer Science & Business Media
ISBN 13 : 1447135733
Total Pages : 267 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Functional Programming, Glasgow 1994 by : Kevin Hammond

Download or read book Functional Programming, Glasgow 1994 written by Kevin Hammond and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Optimal Implementation of Functional Programming Languages

Author : Andrea Asperti
Publisher : Cambridge University Press
ISBN 13 : 9780521621120
Total Pages : 412 pages
Book Rating : 4.6/5 (211 download)

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Book Synopsis The Optimal Implementation of Functional Programming Languages by : Andrea Asperti

Download or read book The Optimal Implementation of Functional Programming Languages written by Andrea Asperti and published by Cambridge University Press. This book was released on 1998-12-03 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: First account of the subject by two of its leading exponents. Essentially self-contained.

Basic Category Theory for Computer Scientists

Author : Benjamin C. Pierce
Publisher : MIT Press
ISBN 13 : 0262326450
Total Pages : 117 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Basic Category Theory for Computer Scientists by : Benjamin C. Pierce

Download or read book Basic Category Theory for Computer Scientists written by Benjamin C. Pierce and published by MIT Press. This book was released on 1991-08-07 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading

Foundations of Probabilistic Programming

Author : Gilles Barthe
Publisher : Cambridge University Press
ISBN 13 : 110848851X
Total Pages : 583 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Foundations of Probabilistic Programming by : Gilles Barthe

Download or read book Foundations of Probabilistic Programming written by Gilles Barthe and published by Cambridge University Press. This book was released on 2020-12-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an overview of the theoretical underpinnings of modern probabilistic programming and presents applications in e.g., machine learning, security, and approximate computing. Comprehensive survey chapters make the material accessible to graduate students and non-experts. This title is also available as Open Access on Cambridge Core.