Automated Deduction in Classical and Non-Classical Logics

Automated Deduction in Classical and Non-Classical Logics

Author: Ricardo Caferra

Publisher: Springer

Published: 2003-07-31

Total Pages: 306

ISBN-13: 3540465081

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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.


Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods

Author: Didier Galmiche

Publisher: Springer

Published: 2013-09-11

Total Pages: 297

ISBN-13: 3642405371

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This book constitutes the refereed proceedings of the 22th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2013, held in Nancy, France, in September 2013. The 20 revised research papers presented together with 4 system descriptions were carefully reviewed and selected from 38 submissions. The papers cover many topics as proof-theory in classical and non-classical logics, analytic tableaux for various logics, related techniques and concepts, e.g., model checking and BDDs, related methods (model elimination, sequent calculi, resolution, and connection method), new calculi and methods for theorem proving and verification in classical and non-classical logics, systems, tools, implementations and applications as well as automated deduction and formal methods applied to logic, mathematics, software development, protocol verification, and security.


First-Order Logic and Automated Theorem Proving

First-Order Logic and Automated Theorem Proving

Author: Melvin Fitting

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 258

ISBN-13: 1468403575

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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.


Theorem Proving with Analytic Tableaux and Related Methods

Theorem Proving with Analytic Tableaux and Related Methods

Author: P. Miglioli

Publisher: Springer Science & Business Media

Published: 1996-04-24

Total Pages: 348

ISBN-13: 9783540612087

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This books presents the refereed proceedings of the Fifth International Workshop on Analytic Tableaux and Related Methods, TABLEAUX '96, held in Terrasini near Palermo, Italy, in May 1996. The 18 full revised papers included together with two invited papers present state-of-the-art results in this dynamic area of research. Besides more traditional aspects of tableaux reasoning, the collection also contains several papers dealing with other approaches to automated reasoning. The spectrum of logics dealt with covers several nonclassical logics, including modal, intuitionistic, many-valued, temporal and linear logic.


Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods

Author: Renate A. Schmidt

Publisher: Springer

Published: 2017-09-04

Total Pages: 385

ISBN-13: 3319669028

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This book contains the proceedings of the 26th International Conference on Automated Reasoning with Analytics Tableaux and Related Methods, TABLEAUX 2017, held in Brasília, Bazil, in September 2017. The 19 contributed papers presented in this volume were carefully reviewed and selected from 27 submissions.They are organized in topical sections named: Sequent systems; tableaux; transitive closure and cyclic proofs; formalization and complexity. Also included are papers of three invited speakers.


Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods

Author: Anupam Das

Publisher: Springer Nature

Published: 2021-08-31

Total Pages: 476

ISBN-13: 3030860590

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This book constitutes the proceedings of the 30th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2021, held in Birmingham, UK, in September 2021.The 23 full papers and 3 system descriptions included in the volume were carefully reviewed and selected from 46 submissions.They present research on all aspects of the mechanization of tableaux-based reasoning and related methods, including theoretical foundations, implementation techniques, systems development and applications. The papers are organized in the following topical sections: tableau calculi, sequent calculi, theorem proving, formalized proofs, non-wellfounded proofs, automated theorem provers, and intuitionistic modal logics.


Automated Reasoning with Analytic Tableaux and Related Methods

Automated Reasoning with Analytic Tableaux and Related Methods

Author: Bernhard Beckert

Publisher: Springer Science & Business Media

Published: 2005-09-05

Total Pages: 354

ISBN-13: 3540289313

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This book constitutes the refereed proceedings of the 14th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2005, held in Koblenz, Germany, in September 2005. The 18 revised research papers presented together with 7 system descriptions as well as 4 invited talks were carefully reviewed and selected from 46 submissions. All aspects of the mechanization of reasoning with tableaux and related methods are focused: analytic tableaux for various logics, related techniques and concepts, new calculi and methods for theorem proving in classical and non-classical logics, systems, tools, and implementations. It puts a special emphasis on applications of tableaux and related methods in areas such as, for example, hardware and software verification, knowledge engineering, and semantic Web.