Logic From Computer Science
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Essential Logic For Computer Science
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Author : Rex Page
language : en
Publisher: MIT Press
Release Date : 2019-01-08
Essential Logic For Computer Science written by Rex Page and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Computers categories.
An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.
Mathematical Logic For Computer Science
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Author : Lu Zhongwan
language : en
Publisher: World Scientific
Release Date : 1998-08-22
Mathematical Logic For Computer Science written by Lu Zhongwan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-22 with Mathematics categories.
Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science. In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations. Contents:Prerequisites:SetsInductive Definitions and ProofsNotationsClassical Propositional Logic:Propositions and ConnectivesPropositional LanguageStructure of FormulasSemanticsTautological ConsequenceFormal DeductionDisjunctive and Conjunctive Normal FormsAdequate Sets of ConnectivesClassical First-Order Logic:Proposition Functions and QuantifiersFirst-Order LanguageSemanticsLogical ConsequenceFormal DeductionPrenex Normal FormAxiomatic Deduction System:Axiomatic Deduction SystemRelation between the Two Deduction SystemsSoundness and Completeness:Satisfiability and ValiditySoundnessCompleteness of Propositional LogicCompleteness of First-Order LogicCompleteness of First-Order Logic with EqualityIndependenceCompactness, Löwenheim–Skolem, and Herbrand Theorems:CompactnessLöwenheim-Skolem's TheoremHerbrand's TheoremConstructive Logic:Constructivity of ProofsSemanticsFormal DeductionSoundnessCompletenessModal Propositional Logic:Modal Propositional LanguageSemanticsFormal DeductionSoundnessCompleteness of TCompleteness of S4, B, S5Modal First-Order Logic:Modal First-Order LanguageSemanticsFormal DeductionSoundnessCompletenessEquality Readership: Computer scientists. keywords:
Logic In Computer Science
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Author : Michael Huth
language : en
Publisher: Cambridge University Press
Release Date : 2004-08-26
Logic In Computer Science written by Michael Huth 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 2004-08-26 with Computers categories.
Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.
Logic For Computer Scientists
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Author : Uwe Schöning
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-03
Logic For Computer Scientists written by Uwe Schöning 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 2009-11-03 with Mathematics categories.
This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.
Logics For Computer Science
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Author : Anita Wasilewska
language : en
Publisher: Springer
Release Date : 2018-11-03
Logics For Computer Science written by Anita Wasilewska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Computers categories.
Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.
Logic In Computer Science
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Author : Michael Huth
language : en
Publisher:
Release Date : 2004-08-26
Logic In Computer Science written by Michael Huth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-26 with Computers categories.
Provides a sound basis in logic, and introduces logical frameworks used in modelling, specifying and verifying computer systems.
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 And Language Models For Computer Science Fourth Edition
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Author : Dana Richards
language : en
Publisher: World Scientific
Release Date : 2023-01-19
Logic And Language Models For Computer Science Fourth Edition written by Dana Richards and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-19 with Computers categories.
This unique compendium highlights the theory of computation, particularly logic and automata theory. Special emphasis is on computer science applications including loop invariants, program correctness, logic programming and algorithmic proof techniques.This innovative volume differs from standard textbooks, by building on concepts in a different order, using fewer theorems with simpler proofs. It has added many new examples, problems and answers. It can be used as an undergraduate text at most universities.
Logic For Computer Science
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Author : Jean H. Gallier
language : en
Publisher:
Release Date : 1995
Logic For Computer Science written by Jean H. Gallier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Automatic theorem proving categories.
Mathematical Logic For Computer Science
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Author : Mordechai Ben-Ari
language : en
Publisher: Springer
Release Date : 2012-06-17
Mathematical Logic For Computer Science written by Mordechai Ben-Ari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-17 with Mathematics categories.
Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems. The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic for the verification of concurrent programs. The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.