# mathematical logic for computer science

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## Mathematical Logic For Computer Science

**Author :**Mordechai Ben-Ari

**ISBN :**9781447141297

**Genre :**Mathematics

**File Size :**62. 75 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 :**Lu Zhongwan

**ISBN :**9789814497565

**Genre :**Mathematics

**File Size :**55. 44 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:

## Mathematical Logic For Computer Science

**Author :**Zhongwan Lu

**ISBN :**9810230915

**Genre :**Mathematics

**File Size :**44. 32 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.

## Mathematical Logic In Computer Science

**Author :**B. Dömölki

**ISBN :**UOM:39015037748327

**Genre :**Mathematics

**File Size :**70. 86 MB

**Format :**PDF, Kindle

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## Mathematical Logic And Theoretical Computer Science

**Author :**Kueker

**ISBN :**0824777468

**Genre :**Mathematics

**File Size :**26. 89 MB

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## Mathematical Logic Computer Science

**Author :**

**ISBN :**STANFORD:36105002064199

**Genre :**Computer programming

**File Size :**62. 22 MB

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## Logic For Computer Scientists

**Author :**Uwe Schöning

**ISBN :**9780817647636

**Genre :**Mathematics

**File Size :**52. 88 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.

## Mathematical Logic For Computer Science

**Author :**Dino Mandrioli

**ISBN :**9788874883738

**Genre :**Mathematics

**File Size :**24. 19 MB

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In the recent decades mathematical logic has become more and more important in computer science and, in general, in system engineering. In fact, by definition, it is the wey of expressing our reasoning in terms of mathematical formalism, thus supplying it with the typical rigor and precision of mathematics. Not by chance, automatic information processing is now pervasive and we find it practically in any human activity and artefact, from embedded, safety-critical systems, to e-commerce, to social networks, etc. Such a pervasiveness and the consequent heterogeneity of the involved systems mandate much more generality in the formalism supporting the engineering activity than traditional specialized models such as, e.g., those for electric circuits and mechanical engines: mathematical logic, paired with computer applications, provides such generality

## Mathematical Logic

**Author :**George Tourlakis

**ISBN :**9781118030691

**Genre :**Mathematics

**File Size :**44. 98 MB

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A comprehensive and user-friendly guide to the use of logic in mathematical reasoning Mathematical Logic presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy. The book develops the logical tools for writing proofs by guiding readers through both the established "Hilbert" style of proof writing, as well as the "equational" style that is emerging in computer science and engineering applications. Chapters have been organized into the two topical areas of Boolean logic and predicate logic. Techniques situated outside formal logic are applied to illustrate and demonstrate significant facts regarding the power and limitations of logic, such as: Logic can certify truths and only truths. Logic can certify all absolute truths (completeness theorems of Post and Gödel). Logic cannot certify all "conditional" truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gödel's incompleteness theorem. Numerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability. With its thorough scope of coverage and accessible style, Mathematical Logic is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work.

## Logic In Computer Science

**Author :**Michael Huth

**ISBN :**0521656028

**Genre :**Computers

**File Size :**82. 51 MB

**Format :**PDF

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In recent years, powerful tools for verifying hardware and software systems have been developed. Major companies, such as Intel, Siemens, BT, AT&T, and IBM have increasingly become interested in that technology. Students need a basic formal training that allows them to gain sufficient proficiency in using logic-based verification methods. This book addresses these needs by providing a sound basis in logic and an introduction to the logical frameworks used in modeling, specifying and verifying computer systems. Coverage provides a simple and clear presentation, detailing propositional and predicate logic as well as some specialized logics used for reasoning about the correctness of computer systems. The authors introduce a carefully chosen core of essential terminology; further technicalities are introduced only where they are required by the applications. Numerous examples are given, as well as a full exposition of a fast-growing technique for modeling and verifying computer systems, known as symbolic model checking. It will be an ideal introduction for undergraduate students. A worldwide web tutorial that supports the course activities and provides solutions to the sample exercises is available to instructors.