Domain Theory, Logic and Computation

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Publisher : Springer Science & Business Media
ISBN 13 : 9401712913
Total Pages : 204 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Domain Theory, Logic and Computation by : Guo-Qiang Zhang

Download or read book Domain Theory, Logic and Computation written by Guo-Qiang Zhang and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation. The theory of domains has proved to be a useful tool for programming languages and other areas of computer science, and for applications in mathematics. Included in this proceedings volume are selected papers of original research presented at the 2nd International Symposium on Domain Theory in Chengdu, China. With authors from France, Germany, Great Britain, Ireland, Mexico, and China, the papers cover the latest research in these sub-areas: domains and computation, topology and convergence, domains, lattices, and continuity, and representations of domains as event and logical structures. Researchers and students in theoretical computer science should find this a valuable source of reference. The survey papers at the beginning should be of particular interest to those who wish to gain an understanding of some general ideas and techniques in this area.

Mathematical Theory of Domains

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Publisher : Cambridge University Press
ISBN 13 : 9780521383448
Total Pages : 366 pages
Book Rating : 4.3/5 (834 download)

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Book Synopsis Mathematical Theory of Domains by : V. Stoltenberg-Hansen

Download or read book Mathematical Theory of Domains written by V. Stoltenberg-Hansen and published by Cambridge University Press. This book was released on 1994-09-22 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory textbook/general reference in domain theory for professionals in computer science and logic.

Logic of Domains

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Publisher : Springer Science & Business Media
ISBN 13 : 1461204453
Total Pages : 264 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Logic of Domains by : G. Zhang

Download or read book Logic of Domains written by G. Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.

Domains and Processes

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792371434
Total Pages : 292 pages
Book Rating : 4.3/5 (714 download)

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Book Synopsis Domains and Processes by : Klaus Keimel

Download or read book Domains and Processes written by Klaus Keimel and published by Springer Science & Business Media. This book was released on 2001-10-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the 1st International Symposium on Domain Theory

Mathematical Aspects of Logic Programming Semantics

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Publisher : CRC Press
ISBN 13 : 1439829624
Total Pages : 305 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Mathematical Aspects of Logic Programming Semantics by : Pascal Hitzler

Download or read book Mathematical Aspects of Logic Programming Semantics written by Pascal Hitzler and published by CRC Press. This book was released on 2016-04-19 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.

Domains and Lambda-Calculi

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Publisher : Cambridge University Press
ISBN 13 : 0521622778
Total Pages : 504 pages
Book Rating : 4.5/5 (216 download)

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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.

Computational Logic and Set Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 0857298089
Total Pages : 426 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Computational Logic and Set Theory by : Jacob T. Schwartz

Download or read book Computational Logic and Set Theory written by Jacob T. Schwartz and published by Springer Science & Business Media. This book was released on 2011-07-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

The Domain Theory

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Publisher : CRC Press
ISBN 13 : 1410602095
Total Pages : 424 pages
Book Rating : 4.4/5 (16 download)

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Book Synopsis The Domain Theory by : Alistair Sutcliffe

Download or read book The Domain Theory written by Alistair Sutcliffe and published by CRC Press. This book was released on 2002-03-01 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Is this book about patterns? Yes and no. It is about software reuse and representation of knowledge that can be reapplied in similar situations; however, it does not follow the classic Alexandine conventions of the patterns community--i.e. Problem- solution- forces- context- example, etc. Chapter 6 on claims comes close to classic patterns, and the whole book can be viewed as a patterns language of abstract models for software engineering and HCI. So what sort of patterns does it contain? Specifications, conceptual models, design advice, but sorry not code. Plenty of other C++ code pattern books (see PLOP series). Nearest relative in published patterns books are Fowler's (1995) Analysis Patterns: Reusable object models and Coad, North and Mayfield. What do you mean by a Domain Theory? Not domains in the abstract mathematical sense, but domains in the knowledge--natural language sense, close to the everyday meaning when we talk about the application domain of a computer system, such as car rental, satellite tracking, whatever. The book is an attempt to answer the question ' what are the abstractions behind car rental, satellite tracking' so good design solutions for those problems can be reused. I work in industry, so what's in it for me? A new way of looking at software reuse, ideas for organizing a software and knowledge reuse program, new processes for reusing knowledge in requirements analysis, conceptual modeling and software specification. I am an academic, should I be interested? Yes if your research involves software engineering, reuse, requirements engineering, human computer interaction, knowledge engineering, ontologies and knowledge management. For teaching it may be useful for Master courses on reuse, requirements and knowledge engineering. More generally if you are interested in exploring what the concept of abstraction is when you extend it beyond programming languages, formal specificati

Axiomatic Domain Theory in Categories of Partial Maps

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Publisher : Cambridge University Press
ISBN 13 : 9780521602778
Total Pages : 260 pages
Book Rating : 4.6/5 (27 download)

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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.

Set Theory and Logic

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Publisher : Courier Corporation
ISBN 13 : 0486638294
Total Pages : 516 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Set Theory and Logic by : Robert Roth Stoll

Download or read book Set Theory and Logic written by Robert Roth Stoll and published by Courier Corporation. This book was released on 1979-10-01 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The best introductory text we have seen." — Cosmos. Lucidly and gradually explains sets and relations, the natural number sequence and its generalization, extension of natural numbers to real numbers, logic, informal axiomatic mathematics, Boolean algebras, informal axiomatic set theory, several algebraic theories, and 1st-order theories. Its clarity makes this book excellent for self-study.

Logic and Computation

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Publisher : Cambridge University Press
ISBN 13 : 9780521395601
Total Pages : 322 pages
Book Rating : 4.3/5 (956 download)

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Book Synopsis Logic and Computation by : Lawrence C. Paulson

Download or read book Logic and Computation written by Lawrence C. Paulson and published by Cambridge University Press. This book was released on 1987 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.

Logic, Construction, Computation

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Publisher : Walter de Gruyter
ISBN 13 : 311032492X
Total Pages : 544 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Logic, Construction, Computation by : Ulrich Berger

Download or read book Logic, Construction, Computation written by Ulrich Berger and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last few decades the interest of logicians and mathematicians in constructive and computational aspects of their subjects has been steadily growing, and researchers from disparate areas realized that they can benefit enormously from the mutual exchange of techniques concerned with those aspects. A key figure in this exciting development is the logician and mathematician Helmut Schwichtenberg to whom this volume is dedicated on the occasion of his 70th birthday and his turning emeritus. The volume contains 20 articles from leading experts about recent developments in Constructive set theory, Provably recursive functions, Program extraction, Theories of truth, Constructive mathematics, Classical vs. intuitionistic logic, Inductive definitions, and Continuous functionals and domains.

Time & Logic

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Publisher : Routledge
ISBN 13 : 1000507319
Total Pages : 207 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Time & Logic by : Leonard Bolc

Download or read book Time & Logic written by Leonard Bolc and published by Routledge. This book was released on 2019-10-24 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.

Domain Theory for Nonmonotonic Functions

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (245 download)

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Book Synopsis Domain Theory for Nonmonotonic Functions by : Harvard University. Center for Research in Computing Technology

Download or read book Domain Theory for Nonmonotonic Functions written by Harvard University. Center for Research in Computing Technology and published by . This book was released on 1990 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We prove several lattice theoretical fixpoint theorems based on the classical result of Knaster-Tarski. These theorems give sufficient conditions for a system of generally nonmonotonic functions, [sic] on a complete lattice to define a unique fixpoint. The primary objective of this paper is to develop a domain theoretic framework to study the semantics of general logic programs as well as various rule-based systems where the rules define nonmonotonic functions on lattices."

Computation, Logic, Philosophy

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Publisher : Springer Science & Business Media
ISBN 13 : 9400923562
Total Pages : 394 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Computation, Logic, Philosophy by : Wang Hao

Download or read book Computation, Logic, Philosophy written by Wang Hao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: ~Et moi ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Logic and Complexity

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Publisher : Springer Science & Business Media
ISBN 13 : 0857293923
Total Pages : 361 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Logic and Complexity by : Richard Lassaigne

Download or read book Logic and Complexity written by Richard Lassaigne and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Complexity looks at basic logic as it is used in Computer Science, and provides students with a logical approach to Complexity theory. With plenty of exercises, this book presents classical notions of mathematical logic, such as decidability, completeness and incompleteness, as well as new ideas brought by complexity theory such as NP-completeness, randomness and approximations, providing a better understanding for efficient algorithmic solutions to problems. Divided into three parts, it covers: - Model Theory and Recursive Functions - introducing the basic model theory of propositional, 1st order, inductive definitions and 2nd order logic. Recursive functions, Turing computability and decidability are also examined. - Descriptive Complexity - looking at the relationship between definitions of problems, queries, properties of programs and their computational complexity. - Approximation - explaining how some optimization problems and counting problems can be approximated according to their logical form. Logic is important in Computer Science, particularly for verification problems and database query languages such as SQL. Students and researchers in this field will find this book of great interest.

Logical Foundations of Computer Science

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Publisher : Springer
ISBN 13 : 3642357229
Total Pages : 424 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov

Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2013-01-05 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2013, held in San Diego, CA, USA in January 2013. The volume presents 29 revised refereed papers carefully selected by the program committee. The scope of the Symposium is broad and includes constructive mathematics and type theory; logic, automata and automatic structures; computability and randomness; logical foundations of programming; logical aspects of computational complexity; logic programming and constraints; automated deduction and interactive theorem proving; logical methods in protocol and program verification; logical methods in program specification and extraction; domain theory logic; logical foundations of database theory; equational logic and term rewriting; lambda and combinatory calculi; categorical logic and topological semantics; linear logic; epistemic and temporal logics; intelligent and multiple agent system logics; logics of proof and justification; nonmonotonic reasoning; logic in game theory and social software; logic of hybrid systems; distributed system logics; mathematical fuzzy logic; system design logics; and other logics in computer science.