Domain Theory Logic And Computation

Download Domain Theory Logic And Computation full books in PDF, epub, and Kindle. Read online Domain Theory Logic And Computation ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Domain Theory, Logic and Computation

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

DOWNLOAD NOW!

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.

Domains and Lambda-Calculi

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

DOWNLOAD NOW!

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.

Logic of Domains

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

DOWNLOAD NOW!

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.

Mathematical Theory of Domains

Author : V. Stoltenberg-Hansen
Publisher : Cambridge University Press
ISBN 13 : 9780521383448
Total Pages : 366 pages
Book Rating : 4.3/5 (834 download)

DOWNLOAD NOW!

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 and Computation

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

DOWNLOAD NOW!

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.

Domains and Processes

Author : Klaus Keimel
Publisher : Springer Science & Business Media
ISBN 13 : 9401006547
Total Pages : 283 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

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 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.

Justification Logic

Author : Sergei Artemov
Publisher : Cambridge University Press
ISBN 13 : 1108424910
Total Pages : 271 pages
Book Rating : 4.1/5 (84 download)

DOWNLOAD NOW!

Book Synopsis Justification Logic by : Sergei Artemov

Download or read book Justification Logic written by Sergei Artemov and published by Cambridge University Press. This book was released on 2019-05-02 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

Computational Logic and Set Theory

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

DOWNLOAD NOW!

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.

Mathematical Aspects of Logic Programming Semantics

Author : Pascal Hitzler
Publisher : CRC Press
ISBN 13 : 1000218724
Total Pages : 307 pages
Book Rating : 4.0/5 (2 download)

DOWNLOAD NOW!

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 307 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.

Time & Logic

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

DOWNLOAD NOW!

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.

Logic, Computation and Rigorous Methods

Author : Alexander Raschke
Publisher : Springer Nature
ISBN 13 : 3030760200
Total Pages : 367 pages
Book Rating : 4.0/5 (37 download)

DOWNLOAD NOW!

Book Synopsis Logic, Computation and Rigorous Methods by : Alexander Raschke

Download or read book Logic, Computation and Rigorous Methods written by Alexander Raschke and published by Springer Nature. This book was released on 2021-06-04 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.

A Computational Logic

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

DOWNLOAD NOW!

Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

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)

DOWNLOAD NOW!

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

Domain Theory for Nonmonotonic Functions

Author : Harvard University. Center for Research in Computing Technology
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (245 download)

DOWNLOAD NOW!

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."

Logical and Computational Aspects of Model-Based Reasoning

Author : L. Magnani
Publisher : Springer Science & Business Media
ISBN 13 : 9401005508
Total Pages : 345 pages
Book Rating : 4.4/5 (1 download)

DOWNLOAD NOW!

Book Synopsis Logical and Computational Aspects of Model-Based Reasoning by : L. Magnani

Download or read book Logical and Computational Aspects of Model-Based Reasoning written by L. Magnani and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in his daily activity. This pressure requires the use of logic as the underlying foundational workhorse of the area. New logics were developed as the need arose and new foci and balance has evolved within logic itself. One aspect of these new trends in logic is the rising impor tance of model based reasoning. Logics have become more and more tailored to applications and their reasoning has become more and more application dependent. In fact, some years ago, I myself coined the phrase "direct deductive reasoning in application areas", advocating the methodology of model-based reasoning in the strongest possible terms. Certainly my discipline of Labelled Deductive Systems allows to bring "pieces" of the application areas as "labels" into the logic. I therefore heartily welcome this important book to Volume 25 of the Applied Logic Series and see it as an important contribution in our overall coverage of applied logic.

Theorem Proving in Higher Order Logics

Author : Konrad Slind
Publisher : Springer Science & Business Media
ISBN 13 : 3540230173
Total Pages : 345 pages
Book Rating : 4.5/5 (42 download)

DOWNLOAD NOW!

Book Synopsis Theorem Proving in Higher Order Logics by : Konrad Slind

Download or read book Theorem Proving in Higher Order Logics written by Konrad Slind and published by Springer Science & Business Media. This book was released on 2004-09-01 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume constitutes the proceedings of the 17th International Conference on Theorem Proving in Higher Order Logics (TPHOLs 2004) held September 14–17, 2004 in Park City, Utah, USA. TPHOLs covers all aspects of theorem proving in higher-order logics as well as related topics in theorem proving and veri?cation. There were 42 papers submitted to TPHOLs 2004 in the full research ca- gory, each of which was refereed by at least 3 reviewers selected by the program committee. Of these submissions, 21 were accepted for presentation at the c- ference and publication in this volume. In keeping with longstanding tradition, TPHOLs 2004 also o?ered a venue for the presentation of work in progress, where researchers invited discussion by means of a brief introductory talk and then discussed their work at a poster session. A supplementary proceedings c- taining papers about in-progress work was published as a 2004 technical report of the School of Computing at the University of Utah. The organizers are grateful to Al Davis, Thomas Hales, and Ken McMillan for agreeing to give invited talks at TPHOLs 2004. The TPHOLs conference traditionally changes continents each year in order to maximize the chances that researchers from around the world can attend.

Sets, Logic, Computation

Author : Richard Zach
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.5/5 (363 download)

DOWNLOAD NOW!

Book Synopsis Sets, Logic, Computation by : Richard Zach

Download or read book Sets, Logic, Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.