mathematical logic for computer science

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Mathematical Logic For Computer Science

Author : Mordechai Ben-Ari
ISBN : 9781447141297
Genre : Mathematics
File Size : 25. 21 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. 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. 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 : 58. 2 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 : 69. 64 MB
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Logik F R Informatiker

Author : Uwe Schöning
ISBN : 3827410053
Genre : Computers
File Size : 35. 87 MB
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Das Buch macht den Leser mit den wesentlichen Teilgebieten der formalen Logik vertraut, die Bestandteil der Ausbildung in Theoretischer Informatik sind. Die Darstellung orientiert sich an den Bedürfnissen von Informatikstudierenden. Insbesondere werden viele mehr auf das Prinzipielle ausgerichtete Resultate der formalen Logik unter einem algorithmischen Gesichtspunkt behandelt. Diese Vorgehensweise erleichtert entscheidend den Zugang zu dem abstrakten Themengebiet. Prof. Schöning gelingt eine kompakte und verständliche Darstellung der Aussagen- und Prädikatenlogik, bei der die benötigten Begriffe präzise eingeführt und durch Beispiele veranschaulicht werden. Darauf beruhend werden Anwendungen der Logik in der Informatik, wie z. B. Resolution, Automatisches Beweisen und Logik-Programmierung behandelt. Zahlreiche Übungsaufgaben mit ausführlichen Lösungshinweisen erleichtern die Vertiefung des Lernstoffes.

Logik F R Informatiker

Author : Uwe Schöning
ISBN : 3411031646
Genre :
File Size : 43. 99 MB
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Theory of Computation -- Mathematical Logic and Formal Languages.

Mathematical Logic Computer Science

Author :
ISBN : STANFORD:36105002064199
Genre : Computer programming
File Size : 65. 17 MB
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Logic For Computer Scientists

Author : Uwe Schöning
ISBN : 9780817647636
Genre : Mathematics
File Size : 44. 11 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.

Advances In Contemporary Logic And Computer Science

Author : Walter Alexandre Carnielli
ISBN : 9780821813645
Genre : Computers
File Size : 40. 81 MB
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This volume presents the proceedings from the Eleventh Brazilian Logic Conference on Mathematical Logic held by the Brazilian Logic Society (co-sponsored by the Centre for Logic, Epistemology and the History of Science, State University of Campinas, Sao Paolo) in Salvador, Bahia, Brazil. The conference and the volume are dedicated to the memory of professor Mario Tourasse Teixeira, an educator and researcher who contributed to the formation of several generations of Brazilian logicians.Contributions were made from leading Brazilian logicians and their Latin-American and European colleagues. All papers were selected by a careful refereeing processs and were revised and updated by their authors for publication in this volume. There are three sections: Advances in Logic, Advances in Theoretical Computer Science, and Advances in Philosophical Logic. Well-known specialists present original research on several aspects of model theory, proof theory, algebraic logic, category theory, connections between logic and computer science, and topics of philosophical logic of current interest. Topics interweave proof-theoretical, semantical, foundational, and philosophical aspects with algorithmic and algebraic views, offering lively high-level research results.

Logic For Computer Science

Author : Jean H. Gallier
ISBN : 9780486780825
Genre : Computers
File Size : 26. 52 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.

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