Automated Theorem-proving in Non-classical Logics

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Author :
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Automated Theorem-proving in Non-classical Logics by : Paul B. Thistlewaite

Download or read book Automated Theorem-proving in Non-classical Logics written by Paul B. Thistlewaite and published by Pitman Publishing. This book was released on 1988 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Automated Deduction in Classical and Non-Classical Logics

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Author :
Publisher : Springer
ISBN 13 : 3540465081
Total Pages : 306 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automated Deduction in Classical and Non-Classical Logics by : Ricardo Caferra

Download or read book Automated Deduction in Classical and Non-Classical Logics written by Ricardo Caferra and published by Springer. This book was released on 2003-07-31 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.

First-Order Logic and Automated Theorem Proving

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1468403575
Total Pages : 258 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis First-Order Logic and Automated Theorem Proving by : Melvin Fitting

Download or read book First-Order Logic and Automated Theorem Proving written by Melvin Fitting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but not incompleteness issues. The first item to be addressed is, what are we talking about and why are we interested in it. We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self-evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.

Automated Theorem-proving in Non-classical Logics

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Author :
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Automated Theorem-proving in Non-classical Logics by : Paul B. Thistlewaite

Download or read book Automated Theorem-proving in Non-classical Logics written by Paul B. Thistlewaite and published by Pitman Publishing. This book was released on 1988 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logics for Computer Science

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Publisher : Springer
ISBN 13 : 3319925911
Total Pages : 540 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Logics for Computer Science by : Anita Wasilewska

Download or read book Logics for Computer Science written by Anita Wasilewska and published by Springer. This book was released on 2018-11-03 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 for Computer Science

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Kit Fine on Truthmakers, Relevance, and Non-classical Logic

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Author :
Publisher : Springer Nature
ISBN 13 : 3031294157
Total Pages : 796 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Kit Fine on Truthmakers, Relevance, and Non-classical Logic by : Federico L. G. Faroldi

Download or read book Kit Fine on Truthmakers, Relevance, and Non-classical Logic written by Federico L. G. Faroldi and published by Springer Nature. This book was released on 2023-11-25 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores some of Kit Fine's outstanding contributions to logic, philosophy of language, philosophy of mathematics, and metaphysics, among others. Contributing authors address in-depth issues about truthmaker semantics, counterfactual conditionals, grounding, vagueness, non-classical consequence relations, and arbitrary objects, offering critical reflections and novel research contributions. Each chapter is accompanied by an extensive commentary, in which Kit Fine offers detailed responses to the ideas and themes raised by the contributors. The book includes a brief autobiography and exhaustive list of his publications to this date. This book is of interest to logicians of all stripes and to analytic philosophers more generally.

Automated Reasoning with Analytic Tableaux and Related Methods

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Publisher : Springer
ISBN 13 : 3540450084
Total Pages : 452 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Roy Dyckhoff

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Roy Dyckhoff and published by Springer. This book was released on 2006-12-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000.The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.

Beyond Two: Theory and Applications of Multiple-Valued Logic

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Author :
Publisher : Physica
ISBN 13 : 3790817694
Total Pages : 374 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Beyond Two: Theory and Applications of Multiple-Valued Logic by : Melvin Fitting

Download or read book Beyond Two: Theory and Applications of Multiple-Valued Logic written by Melvin Fitting and published by Physica. This book was released on 2013-06-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.

Provably Correct Systems

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Publisher : Springer
ISBN 13 : 3319486284
Total Pages : 332 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Provably Correct Systems by : Mike Hinchey

Download or read book Provably Correct Systems written by Mike Hinchey and published by Springer. This book was released on 2017-03-01 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: As computers increasingly control the systems and services we depend upon within our daily lives like transport, communications, and the media, ensuring these systems function correctly is of utmost importance. This book consists of twelve chapters and one historical account that were presented at a workshop in London in 2015, marking the 25th anniversary of the European ESPRIT Basic Research project ‘ProCoS’ (Provably Correct Systems). The ProCoS I and II projects pioneered and accelerated the automation of verification techniques, resulting in a wide range of applications within many trades and sectors such as aerospace, electronics, communications, and retail. The following topics are covered: An historical account of the ProCoS project Hybrid Systems Correctness of Concurrent Algorithms Interfaces and Linking Automatic Verification Run-time Assertions Checking Formal and Semi-Formal Methods Provably Correct Systems provides researchers, designers and engineers with a complete overview of the ProCoS initiative, past and present, and explores current developments and perspectives within the field.

The Handbook On Reasoning-based Intelligent Systems

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Author :
Publisher : World Scientific
ISBN 13 : 9814489166
Total Pages : 680 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis The Handbook On Reasoning-based Intelligent Systems by : Kazumi Nakamatsu

Download or read book The Handbook On Reasoning-based Intelligent Systems written by Kazumi Nakamatsu and published by World Scientific. This book was released on 2013-01-18 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of various contributions in conjunction with the keywords “reasoning” and “intelligent systems”, which widely covers theoretical to practical aspects of intelligent systems. Therefore, it is suitable for researchers or graduate students who want to study intelligent systems generally.

Automated Reasoning

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Publisher : Springer
ISBN 13 : 3540710701
Total Pages : 568 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Automated Reasoning by : Alessandro Armando

Download or read book Automated Reasoning written by Alessandro Armando and published by Springer. This book was released on 2008-08-30 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 4th International Joint Conference on Automated Reasoning, IJCAR 2008, held in Sydney, Australia, in August 2008. The 26 revised full research papers and 13 revised system descriptions presented together with 4 invited papers and a summary of the CASC-J4 systems competition were carefully reviewed and selected from 80 full paper and 17 system description submissions. The papers address the entire spectrum of research in automated reasoning and are organized in topical sections on specific theories, automated verification, protocol verification, system descriptions, modal logics, description logics, equational theories, theorem proving, CASC, the 4th IJCAR ATP system competition, logical frameworks, and tree automata.

Labelled Non-Classical Logics

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Publisher : Springer Science & Business Media
ISBN 13 : 1475732082
Total Pages : 295 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Labelled Non-Classical Logics by : Luca Viganò

Download or read book Labelled Non-Classical Logics written by Luca Viganò and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Automated Reasoning with Analytic Tableaux and Related Methods

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Publisher : Springer
ISBN 13 : 3540487549
Total Pages : 343 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Neil V. Murray

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Neil V. Murray and published by Springer. This book was released on 2003-07-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Analytic Tableaux and Related Methods, TABLEAUX'99, held in Saratoga Springs, NY, USA, in June 1999. The volume presents 18 revised full papers and three system descriptions selected from 41 submissions. Also included are system comparisons and abstracts of an invited paper and of two tutorials. All current issues surrounding mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation and systems development and applications, as well as covering a broad variety of logic calculi. As application areas, formal verification of software and computer systems, deductive databases, knowledge representation, and systems diagnosis are covered.

9th International Conference on Automated Deduction

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540193432
Total Pages : 778 pages
Book Rating : 4.1/5 (934 download)

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Book Synopsis 9th International Conference on Automated Deduction by : Ewing Lusk

Download or read book 9th International Conference on Automated Deduction written by Ewing Lusk and published by Springer Science & Business Media. This book was released on 1988-05-04 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Ninth International Conference on Automated Deduction (CADE-9) held May 23-26 at Argonne National Laboratory, Argonne, Illinois. The conference commemorates the twenty-fifth anniversary of the discovery of the resolution principle, which took place during the summer of 1963. The CADE conferences are a forum for reporting on research on all aspects of automated deduction, including theorem proving, logic programming, unification, deductive databases, term rewriting, ATP for non-standard logics, and program verification. All papers submitted to the conference were refereed by at least two referees, and the program committee accepted the 52 that appear here. Also included in this volume are abstracts of 21 implementations of automated deduction systems.

Automated Reasoning with Analytic Tableaux and Related Methods

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Publisher : Springer
ISBN 13 : 3540318224
Total Pages : 354 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Bernhard Beckert

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Bernhard Beckert and published by Springer. This book was released on 2005-09-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the research papers presented at the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2005) held September 14 –17, 2005 in Koblenz, Germany.

Lattice-Valued Logic

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Publisher : Springer
ISBN 13 : 3540448470
Total Pages : 397 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Lattice-Valued Logic by : Yang Xu

Download or read book Lattice-Valued Logic written by Yang Xu and published by Springer. This book was released on 2012-11-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lattice-valued Logic aims at establishing the logical foundation for uncertain information processing routinely performed by humans and artificial intelligence systems. In this textbook for the first time a general introduction on lattice-valued logic is given. It systematically summarizes research from the basic notions up to recent results on lattice implication algebras, lattice-valued logic systems based on lattice implication algebras, as well as the corresponding reasoning theories and methods. The book provides the suitable theoretical logical background of lattice-valued logic systems and supports newly designed intelligent uncertain-information-processing systems and a wide spectrum of intelligent learning tasks.