Domain Theory Logic And Computation
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Domain Theory Logic And Computation
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Author : Guo-Qiang Zhang
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Domain Theory Logic And Computation written by Guo-Qiang Zhang 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 2013-06-29 with Philosophy categories.
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
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Author : Roberto M. Amadio
language : en
Publisher: Cambridge University Press
Release Date : 1998-07-02
Domains And Lambda Calculi written by Roberto M. Amadio 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 1998-07-02 with Computers categories.
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Logic And Computation
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Author : Lawrence C. Paulson
language : en
Publisher: Cambridge University Press
Release Date : 1987
Logic And Computation written by Lawrence C. Paulson 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 1987 with Computers categories.
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.
Mathematical Aspects Of Logic Programming Semantics
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Author : Pascal Hitzler
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Mathematical Aspects Of Logic Programming Semantics written by Pascal Hitzler and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
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
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Author : Leonard Bolc
language : en
Publisher: Routledge
Release Date : 2019-10-24
Time Logic written by Leonard Bolc and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-24 with Philosophy categories.
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.
Computability In Context Computation And Logic In The Real World
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Author : S Barry Cooper
language : en
Publisher: World Scientific
Release Date : 2011-02-25
Computability In Context Computation And Logic In The Real World written by S Barry Cooper and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-25 with Mathematics categories.
Computability has played a crucial role in mathematics and computer science, leading to the discovery, understanding and classification of decidable/undecidable problems, paving the way for the modern computer era, and affecting deeply our view of the world. Recent new paradigms of computation, based on biological and physical models, address in a radically new way questions of efficiency and challenge assumptions about the so-called Turing barrier.This volume addresses various aspects of the ways computability and theoretical computer science enable scientists and philosophers to deal with mathematical and real-world issues, covering problems related to logic, mathematics, physical processes, real computation and learning theory. At the same time it will focus on different ways in which computability emerges from the real world, and how this affects our way of thinking about everyday computational issues./a
Mathematical Theory Of Domains
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Author : V. Stoltenberg-Hansen
language : en
Publisher: Cambridge University Press
Release Date : 1994-09-22
Mathematical Theory Of Domains written by V. Stoltenberg-Hansen 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 1994-09-22 with Computers categories.
Introductory textbook/general reference in domain theory for professionals in computer science and logic.
Logic For Computer Science
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Author : Jean H. Gallier
language : en
Publisher: Courier Dover Publications
Release Date : 2015-06-18
Logic For Computer Science written by Jean H. Gallier and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Mathematics categories.
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
A Computational Logic
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Author : Robert S. Boyer
language : en
Publisher: Academic Press
Release Date : 2014-06-25
A Computational Logic written by Robert S. Boyer and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-25 with Mathematics categories.
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.
Integrating Functional And Temporal Domains In Logic Design
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Author : Patrick C. McGeer
language : en
Publisher: Springer
Release Date : 2012-09-30
Integrating Functional And Temporal Domains In Logic Design written by Patrick C. McGeer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-09-30 with Computers categories.
This book is an extension of one author's doctoral thesis on the false path problem. The work was begun with the idea of systematizing the various solutions to the false path problem that had been proposed in the literature, with a view to determining the computational expense of each versus the gain in accuracy. However, it became clear that some of the proposed approaches in the literature were wrong in that they under estimated the critical delay of some circuits under reasonable conditions. Further, some other approaches were vague and so of questionable accu racy. The focus of the research therefore shifted to establishing a theory (the viability theory) and algorithms which could be guaranteed correct, and then using this theory to justify (or not) existing approaches. Our quest was successful enough to justify presenting the full details in a book. After it was discovered that some existing approaches were wrong, it became apparent that the root of the difficulties lay in the attempts to balance computational efficiency and accuracy by separating the tempo ral and logical (or functional) behaviour of combinational circuits. This separation is the fruit of several unstated assumptions; first, that one can ignore the logical relationships of wires in a network when considering timing behaviour, and, second, that one can ignore timing considerations when attempting to discover the values of wires in a circuit.