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Decidability of Logical Theories and Their Combination

Decidability of Logical Theories and Their Combination
Author: João Rasga
Publisher: Springer Nature
Total Pages: 185
Release: 2020-10-20
Genre: Mathematics
ISBN: 3030565548

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This textbook provides a self-contained introduction to decidability of first-order theories and their combination. The technical material is presented in a systematic and universal way and illustrated with plenty of examples and a range of proposed exercises. After an overview of basic first-order logic concepts, the authors discuss some model-theoretic notions like embeddings, diagrams, and elementary substructures. The text then goes on to explore an applicable way to deduce logical consequences from a given theory and presents sufficient conditions for a theory to be decidable. The chapters that follow focus on quantifier elimination, decidability of the combination of first-order theories and the basics of computability theory. The inclusion of a chapter on Gentzen calculus, cut elimination, and Craig interpolation, as well as a chapter on combination of theories and preservation of decidability, help to set this volume apart from similar books in the field. Decidability of Logical Theories and their Combination is ideal for graduate students of Mathematics and is equally suitable for Computer Science, Philosophy and Physics students who are interested in gaining a deeper understanding of the subject. The book is also directed to researchers that intend to get acquainted with first-order theories and their combination.


Description Logic, Theory Combination, and All That

Description Logic, Theory Combination, and All That
Author: Carsten Lutz
Publisher: Springer
Total Pages: 662
Release: 2019-06-25
Genre: Mathematics
ISBN: 3030221024

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This Festschrift has been put together on the occasion of Franz Baader's 60th birthday to celebrate his fundamental and highly influential scientific contributions. The 30 papers in this volume cover several scientific areas that Franz Baader has been working on during the last three decades, including description logics, term rewriting, and the combination of decision procedures. We hope that readers will enjoy the articles gathered in Franz's honour and appreciate the breadth and depth of his favourite areas of computer science.


Computer Science Logic

Computer Science Logic
Author: Jacques Duparc
Publisher: Springer
Total Pages: 600
Release: 2007-08-24
Genre: Computers
ISBN: 3540749152

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This book constitutes the refereed proceedings of the 21st International Workshop on Computer Science Logic, CSL 2007, held as the 16th Annual Conference of the EACSL in Lausanne, Switzerland. The 36 revised full papers presented together with the abstracts of six invited lectures are organized in topical sections on logic and games, expressiveness, games and trees, logic and deduction, lambda calculus, finite model theory, linear logic, proof theory, and game semantics.


The Road to Universal Logic

The Road to Universal Logic
Author: Arnold Koslow
Publisher: Birkhäuser
Total Pages: 607
Release: 2015-06-10
Genre: Mathematics
ISBN: 3319153684

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This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.


Frontiers of Combining Systems

Frontiers of Combining Systems
Author: Cesare Tinelli
Publisher: Springer Science & Business Media
Total Pages: 283
Release: 2011-09-23
Genre: Computers
ISBN: 3642243630

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This book constitutes the refereed proceedings of the 8th International Symposium on Frontiers of Combining Systems, FroCoS 2011, held in Saarbrücken, Germany, in October 2011. The 15 revised full papers presented together with three invited papers were carefully reviewed and selected from 22 submissions. The event builds a common forum for research activities in the general area of combination, modularization and integration of systems, with emphasis on logic-based ones, and of their practical use.


Computer Science Logic

Computer Science Logic
Author: Michael Kaminski
Publisher: Springer Science & Business Media
Total Pages: 523
Release: 2008-09-10
Genre: Computers
ISBN: 3540875301

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This book constitutes the refereed proceedings of the 22nd International Workshop on Computer Science Logic, CSL 2008, held as the 17th Annual Conference of the EACSL in Bertinoro, Italy, in September 2008. The 31 revised full papers presented together with 4 invited lectures were carefully reviewed and selected from 102 submissions. All current aspects of logic in computer science are addressed, ranging from foundational and methodological issues to application issues of practical relevance. The book concludes with a presentation of this year's Ackermann award.


Handbook of Philosophical Logic

Handbook of Philosophical Logic
Author: D.M. Gabbay
Publisher: Springer Science & Business Media
Total Pages: 371
Release: 2006-01-17
Genre: Philosophy
ISBN: 1402035217

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The ninth volume of the Second Edition contains major contributions on Rewriting Logic as a Logical and Semantic Framework, Logical Frameworks, Proof Theory and Meaning, Goal Directed Deductions, Negations, Completeness and Consistency as well as Logic as General Rationality. Audience: Students and researchers whose work or interests involve philosophical logic and its applications.


Logic Colloquium '03

Logic Colloquium '03
Author: Viggo Stoltenberg-Hansen
Publisher: Cambridge University Press
Total Pages:
Release: 2017-03-30
Genre: Mathematics
ISBN: 1108587143

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Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the twenty-fourth publication in the Lecture Notes in Logic series, contains the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Helsinki, Finland, in August 2003. These articles include an extended tutorial on generalizing finite model theory, as well as seventeen original research articles spanning all areas of mathematical logic, including proof theory, set theory, model theory, computability theory and philosophy.


Frontiers of Combining Systems

Frontiers of Combining Systems
Author: Boris Konev
Publisher: Springer
Total Pages: 286
Release: 2007-08-23
Genre: Computers
ISBN: 3540746218

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This book constitutes the refereed proceedings of the 6th International Symposium on Frontiers of Combining Systems, FroCoS 2007, held in Liverpool, UK, September 2007. The 14 revised full papers presented were carefully selected and are organized in topical sections on combinations of logics, theories, and decision procedures; constraint solving and programming; combination issues in rewriting and programming as well as in logical frameworks and theorem proving systems.


Logic for Programming, Artificial Intelligence, and Reasoning

Logic for Programming, Artificial Intelligence, and Reasoning
Author: Moshe Vardi
Publisher: Springer Science & Business Media
Total Pages: 449
Release: 2003-09-12
Genre: Computers
ISBN: 3540201017

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This book constitutes the refereed proceedings of the 10th International Conference on Logic Programming, Artificial Intelligence, and Reasoning, LPAR 2003, held in Almaty, Kazakhstan in September 2003. The 27 revised full papers presented together with 3 invited papers were carefully reviewed and selected from 65 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, proof theory, logic calculi, formal verification, model theory, game theory, automata, proof search, constraint systems, model checking, and proof construction.