Logic And Computation
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Mathematical Logic And Computation
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Author : Jeremy Avigad
language : en
Publisher:
Release Date : 2022-11-09
Mathematical Logic And Computation written by Jeremy Avigad and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-09 with Computers categories.
This new book on mathematical logic by Jeremy Avigad gives a thorough introduction to the fundamental results and methods of the subject from the syntactic point of view, emphasizing logic as the study of formal languages and systems and their proper use. Topics include proof theory, model theory, the theory of computability, and axiomatic foundations, with special emphasis given to aspects of mathematical logic that are fundamental to computer science, including deductive systems, constructive logic, the simply typed lambda calculus, and type-theoretic foundations. Clear and engaging, with plentiful examples and exercises, it is an excellent introduction to the subject for graduate students and advanced undergraduates who are interested in logic in mathematics, computer science, and philosophy, and an invaluable reference for any practicing logician's bookshelf.
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.
Logic Computation And Rigorous Methods
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Author : Alexander Raschke
language : en
Publisher: Springer Nature
Release Date : 2021-06-04
Logic Computation And Rigorous Methods written by Alexander Raschke and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-04 with Computers categories.
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.
Logics For Computer Science Second Edition
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Author : SINGH, ARINDAMA
language : en
Publisher: PHI Learning Pvt. Ltd.
Release Date : 2018-06-01
Logics For Computer Science Second Edition written by SINGH, ARINDAMA and has been published by PHI Learning Pvt. Ltd. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-06-01 with categories.
Designed primarily as an introductory text on logic for computer science, this well-organized book deals with almost all the basic concepts and techniques that are pertinent to the subject. It provides an excellent understanding of the logics used in computer science today. Starting with the logic of propositions, it gives a detailed coverage of first order logic and modal logics. It discusses various approaches to the proof theory of the logics, e.g. axiomatic systems, natural deduction systems, Gentzen systems, analytic tableau, and resolution. It deals with an important application of logic to computer science, namely, verification of programs. The book gives the flavour of logic engineering through computation tree logic, a logic of model checking. The book concludes with a fairly detailed discussion on nonstandard logics including intuitionistic logic, Lukasiewicz logics, default logic, autoepistemic logic, and fuzzy logic. The Second Edition includes applications of compactness theorem to many interesting problems relevant to mathematics and computer science. It also presents the undecidability of first order logic, inexpressibility of truth, and incompleteness of Peano's Arithmetic in a comprehensive and lively manner. Besides students of Computer Science, those offering courses in Mathematics and Philosophy would greatly benefit from this study. KEY FEATURES • Provides numerous worked-out examples which not only illustrate the concepts and theory developed, but also give a lead to the succeeding notions. • Exercises at the end of each section aim at reinforcing and mastering the techniques, raising issues and preparing background for further development of the subject. • Problems of theoretical nature, which are important for learning the subject, are included at the end of each chapter. • The reader is constantly provoked toworkout the details, promoting interactive learning.
Logic Of Computation
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Author : Helmut Schwichtenberg
language : en
Publisher: Boom Koninklijke Uitgevers
Release Date : 1997
Logic Of Computation written by Helmut Schwichtenberg and has been published by Boom Koninklijke Uitgevers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.
Lectures on Semantics: The Initial Algebra and Final Coalgebra Perspectives.- to Gröbner Bases.- Bounded Arithmetic and Propositional Proof Complexity.- The Structure of Nuprl's Type Theory.- Axiomatisations, Proofs, and Formal Specifications of Algorithms: Commented Case Studies in the Coq Proof Assistant.- Some Proof Theory of First Order Logic Programming.- Timed Rewriting Logic for the Specification of Time-Sensitive Systems.- Logic Programming and Meta-Logic.- Proofs, Lambda Terms and Control Operators.- Basic Proof Theory with Applications to Computation.
Sets Logic Computation An Open Introduction To Metalogic
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Author : Richard Zach
language : en
Publisher:
Release Date : 2019
Sets Logic Computation An Open Introduction To Metalogic written by Richard Zach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Electronic books categories.
Sets, Logic, Computation is an introductory textbook on metalogic. 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. The audience is undergraduate students with some background in formal logic, e.g., what is covered by forall x. NOTE: It's title has been changed from "Sets, Logic, Computation: An Open Logic Text" to "Sets, Logic, Computation: An Open Introduction to Metalogic."
Logic Computation Hierarchies
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Author : Vasco Brattka
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-09-04
Logic Computation Hierarchies written by Vasco Brattka and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Philosophy categories.
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.
Fields Of Logic And Computation Ii
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Author : Lev D. Beklemishev
language : en
Publisher: Springer
Release Date : 2015-09-05
Fields Of Logic And Computation Ii written by Lev D. Beklemishev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-09-05 with Computers categories.
This Festschrift is published in honor of Yuri Gurevich's 75th birthday. Yuri Gurevich has made fundamental contributions on the broad spectrum of logic and computer science, including decision procedures, the monadic theory of order, abstract state machines, formal methods, foundations of computer science, security, and much more. Many of these areas are reflected in the 20 articles in this Festschrift and in the presentations at the "Yurifest" symposium, which was held in Berlin, Germany, on September 11 and 12, 2015. The Yurifest symposium was co-located with the 24th EACSL Annual Conference on Computer Science Logic (CSL 2015).
Logic Language Information And Computation
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Author : Wilfrid Hodges
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-19
Logic Language Information And Computation written by Wilfrid Hodges 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 2008-06-19 with Philosophy categories.
Edited in collaboration with FoLLI, the Association of Logic, Language and Information, this book constitutes the 4th volume of the FoLLI LNAI subline; containing the refereed proceedings of the 15th International Workshop on Logic, Language, Information and Computation, WoLLIC 2008, held in Edinburgh, UK, in July 2008. The 21 revised full papers presented together with the abstracts of 7 tutorials and invited lectures were carefully reviewed and selected from numerous submissions. The papers cover all pertinent subjects in computer science with particular interest in cross-disciplinary topics. Typical areas of interest are: foundations of computing and programming; novel computation models and paradigms; broad notions of proof and belief; formal methods in software and hardware development; logical approach to natural language and reasoning; logics of programs, actions and resources; foundational aspects of information organization, search, flow, sharing, and protection.
Logic Computation Hierarchies
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Author : Vasco Brattka
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-09-04
Logic Computation Hierarchies written by Vasco Brattka and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-04 with Philosophy categories.
Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.