# mathematical logic for computer science

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## Mathematical Logic For Computer Science

**Author :**Mordechai Ben-Ari

**ISBN :**9781447141297

**Genre :**Mathematics

**File Size :**55. 56 MB

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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.

## Mathematical Logic For Computer Science

**Author :**Mordechai Ben-Ari

**ISBN :**9781447103356

**Genre :**Computers

**File Size :**66. 15 MB

**Format :**PDF, Mobi

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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

**Author :**M. Ben-Ari

**ISBN :**1852333197

**Genre :**Computers

**File Size :**41. 10 MB

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Including theorems and proofs, this book presents logical systems such as Propositional calculus; Predicate calculus; Resolution; Hoare logic; Z; and, Temporal logic.

## Mathematical Logic In Computer Science

**Author :**B. Dömölki

**ISBN :**UOM:39015037748327

**Genre :**Mathematics

**File Size :**75. 8 MB

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## Mathematical Logic For Computer Science

**Author :**Lu Zhongwan

**ISBN :**9789814497565

**Genre :**Mathematics

**File Size :**52. 46 MB

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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 For Computer Scientists

**Author :**Uwe Schöning

**ISBN :**9780817647636

**Genre :**Mathematics

**File Size :**75. 25 MB

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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

**Author :**Jean H. Gallier

**ISBN :**9780486780825

**Genre :**Computers

**File Size :**28. 74 MB

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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.

## Logic For Mathematics And Computer Science

**Author :**Stanley Burris

**ISBN :**UOM:39015040561261

**Genre :**Computers

**File Size :**30. 92 MB

**Format :**PDF

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This book provides an elementary "hands-on" presentation of important mathematical logic topics.Explores topics that are at the cutting edge of developments in computer science, while preserving the integrity of traditional logic. Stresses several self-contained proof systems of interest to mathematical logic, some more suitable than others for particular kinds of questions. For anyone interested in Computer Science or Mathematics.

## Mathematical Logic And Theoretical Computer Science

**Author :**Kueker

**ISBN :**0824777468

**Genre :**Mathematics

**File Size :**55. 86 MB

**Format :**PDF, ePub

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## Mathematical Logic For Computer Science

**Author :**Zhongwan Lu

**ISBN :**9810230915

**Genre :**Mathematics

**File Size :**45. 84 MB

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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.