Logic For Computer Science

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Logic for Computer Scientists

Uwe Schöning
Logic for Computer Scientists Book PDF

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 52,5 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9780817647636

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Logic for Computer Scientists by Uwe Schöning Pdf

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.

Logic for Computer Science

Steve Reeves,Michael Clarke
Logic for Computer Science Book PDF

Author : Steve Reeves,Michael Clarke
Publisher : Addison Wesley Publishing Company
Page : 280 pages
File Size : 46,9 Mb
Release : 1990
Category : Computers
ISBN : UOM:39015018522071

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Logic for Computer Science by Steve Reeves,Michael Clarke Pdf

An understanding of logic is essential to computer science. This book provides a highly accessible account of the logical basis required for reasoning about computer programs and applying logic in fields like artificial intelligence. The text contains extended examples, algorithms, and programs written in Standard ML and Prolog. No prior knowledge of either language is required. The book contains a clear account of classical first-order logic, one of the basic tools for program verification, as well as an introductory survey of modal and temporal logics and possible world semantics. An introduction to intuitionistic logic as a basis for an important style of program specification is also featured in the book.

Essential Logic for Computer Science

Rex Page,Ruben Gamboa
Essential Logic for Computer Science Book PDF

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 43,9 Mb
Release : 2019-01-08
Category : Computers
ISBN : 9780262039185

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Essential Logic for Computer Science by Rex Page,Ruben Gamboa Pdf

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

Mordechai Ben-Ari
Mathematical Logic for Computer Science Book PDF

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 43,7 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103356

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Mathematical Logic for Computer Science by Mordechai Ben-Ari Pdf

This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.

Mathematical Logic for Computer Science

Zhongwan Lu
Mathematical Logic for Computer Science Book PDF

Author : Zhongwan Lu
Publisher : World Scientific
Page : 260 pages
File Size : 46,9 Mb
Release : 1998
Category : Mathematics
ISBN : 9810230915

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Mathematical Logic for Computer Science by Zhongwan Lu Pdf

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.

Logic in Computer Science

Michael Huth,Mark Ryan
Logic in Computer Science Book PDF

Author : Michael Huth,Mark Ryan
Publisher : Unknown
Page : 427 pages
File Size : 44,5 Mb
Release : 2004-08-26
Category : Computers
ISBN : 052154310X

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Logic in Computer Science by Michael Huth,Mark Ryan Pdf

Provides a sound basis in logic, and introduces logical frameworks used in modelling, specifying and verifying computer systems.

Logic for Computer Science

Jean H. Gallier
Logic for Computer Science Book PDF

Author : Jean H. Gallier
Publisher : Courier Dover Publications
Page : 532 pages
File Size : 53,6 Mb
Release : 2015-06-18
Category : Mathematics
ISBN : 9780486780825

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Logic for Computer Science by Jean H. Gallier Pdf

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.

Mathematical Logic for Computer Science

Mordechai Ben-Ari
Mathematical Logic for Computer Science Book PDF

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 43,8 Mb
Release : 2012-06-16
Category : Mathematics
ISBN : 9781447141297

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Mathematical Logic for Computer Science by Mordechai Ben-Ari Pdf

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.

Logics for Computer Science

Anita Wasilewska
Logics for Computer Science Book PDF

Author : Anita Wasilewska
Publisher : Springer
Page : 535 pages
File Size : 49,6 Mb
Release : 2018-11-03
Category : Computers
ISBN : 9783319925912

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Logics for Computer Science by Anita Wasilewska Pdf

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.

Applied Logic for Computer Scientists

Mauricio Ayala-Rincón,Flávio L. C. de Moura
Applied Logic for Computer Scientists Book PDF

Author : Mauricio Ayala-Rincón,Flávio L. C. de Moura
Publisher : Springer
Page : 150 pages
File Size : 43,5 Mb
Release : 2017-02-04
Category : Computers
ISBN : 9783319516530

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Applied Logic for Computer Scientists by Mauricio Ayala-Rincón,Flávio L. C. de Moura Pdf

This book provides an introduction to logic and mathematical induction which are the basis of any deductive computational framework. A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems. The authors present a concise overview of the necessary computational and mathematical aspects of ‘logic’, placing emphasis on both natural deduction and sequent calculus. Differences between constructive and classical logic are highlighted through several examples and exercises. Without neglecting classical aspects of computational logic, the authors also highlight the connections between logical deduction rules and proof commands in proof assistants, presenting simple examples of formalizations of the correctness of algebraic functions and algorithms in PVS. Applied Logic for Computer Scientists will not only benefit students of computer science and mathematics but also software, hardware, automation, electrical and mechatronic engineers who are interested in the application of formal methods and the related computational tools to provide mathematical certificates of the quality and accuracy of their products and technologies.

Logic for Computer Science and Artificial Intelligence

Ricardo Caferra
Logic for Computer Science and Artificial Intelligence Book PDF

Author : Ricardo Caferra
Publisher : John Wiley & Sons
Page : 523 pages
File Size : 54,5 Mb
Release : 2013-02-04
Category : Technology & Engineering
ISBN : 9781118604267

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Logic for Computer Science and Artificial Intelligence by Ricardo Caferra Pdf

Logic and its components (propositional, first-order,non-classical) play a key role in Computer Science and ArtificialIntelligence. While a large amount of information exists scatteredthroughout various media (books, journal articles, webpages, etc.),the diffuse nature of these sources is problematic and logic as atopic benefits from a unified approach. Logic for Computer Scienceand Artificial Intelligence utilizes this format, surveying thetableaux, resolution, Davis and Putnam methods, logic programming,as well as for example unification and subsumption. Fornon-classical logics, the translation method is detailed. Logic for Computer Science and Artificial Intelligence is theclassroom-tested result of several years of teaching at GrenobleINP (Ensimag). It is conceived to allow self-instruction for abeginner with basic knowledge in Mathematics and Computer Science,but is also highly suitable for use in traditional courses. Thereader is guided by clearly motivated concepts, introductions,historical remarks, side notes concerning connections with otherdisciplines, and numerous exercises, complete with detailedsolutions, The title provides the reader with the tools needed toarrive naturally at practical implementations of the concepts andtechniques discussed, allowing for the design of algorithms tosolve problems.

Logics for Computer and Data Sciences, and Artificial Intelligence

Lech T. Polkowski
Logics for Computer and Data Sciences and Artificial Intelligence Book PDF

Author : Lech T. Polkowski
Publisher : Springer Nature
Page : 372 pages
File Size : 51,7 Mb
Release : 2022-01-01
Category : Technology & Engineering
ISBN : 9783030916800

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Logics for Computer and Data Sciences, and Artificial Intelligence by Lech T. Polkowski Pdf

This volume offers the reader a systematic and throughout account of branches of logic instrumental for computer science, data science and artificial intelligence. Addressed in it are propositional, predicate, modal, epistemic, dynamic, temporal logics as well as applicable in data science many-valued logics and logics of concepts (rough logics). It offers a look into second-order logics and approximate logics of parts. The book concludes with appendices on set theory, algebraic structures, computability, complexity, MV-algebras and transition systems, automata and formal grammars. By this composition of the text, the reader obtains a self-contained exposition that can serve as the textbook on logics and relevant disciplines as well as a reference text.

Mathematical Logic For Computer Science

Zhongwan Lu
Mathematical Logic For Computer Science Book PDF

Author : Zhongwan Lu
Publisher : World Scientific
Page : 250 pages
File Size : 46,7 Mb
Release : 1989-07-01
Category : Computers
ISBN : 9789814603546

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Mathematical Logic For Computer Science by Zhongwan Lu Pdf

This book describes the aspects of mathematical logic related to computer sciences. The materials adopted in this book are intended to attend to both the peculiarities of logical systems and the requirements of computer science.

Mathematical Logic for Computer Science

Lu Zhongwan
Mathematical Logic for Computer Science Book PDF

Author : Lu Zhongwan
Publisher : World Scientific
Page : 256 pages
File Size : 53,7 Mb
Release : 1998-08-22
Category : Mathematics
ISBN : 9789814497565

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Mathematical Logic for Computer Science by Lu Zhongwan Pdf

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:

Three Views of Logic

Donald W. Loveland,Richard E. Hodel,S. G. Sterrett
Three Views of Logic Book PDF

Author : Donald W. Loveland,Richard E. Hodel,S. G. Sterrett
Publisher : Princeton University Press
Page : 338 pages
File Size : 49,5 Mb
Release : 2014-01-26
Category : Mathematics
ISBN : 9780691160443

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Three Views of Logic by Donald W. Loveland,Richard E. Hodel,S. G. Sterrett Pdf

The first interdisciplinary textbook to introduce students to three critical areas in applied logic Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses