Decidability Of Logical Theories And Their Combination

Author : João Rasga,Cristina Sernadas
Publisher : Springer Nature
Page : 185 pages
File Size : 51,5 Mb
Release : 2020-10-20
Category : Mathematics
ISBN : 9783030565541

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Decidability of Logical Theories and Their Combination by João Rasga,Cristina Sernadas Pdf

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.

Author : Carsten Lutz,Uli Sattler,Cesare Tinelli,Anni-Yasmin Turhan,Frank Wolter
Publisher : Springer
Page : 662 pages
File Size : 42,9 Mb
Release : 2019-06-25
Category : Mathematics
ISBN : 9783030221027

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Description Logic, Theory Combination, and All That by Carsten Lutz,Uli Sattler,Cesare Tinelli,Anni-Yasmin Turhan,Frank Wolter Pdf

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.

Author : Alfred Tarski,Andrzej Mostowski,Raphael Mitchel Robinson
Publisher : Elsevier
Page : 109 pages
File Size : 44,8 Mb
Release : 1953
Category : Decidability (Mathematical logic)
ISBN : 9780444533784

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Undecidable Theories by Alfred Tarski,Andrzej Mostowski,Raphael Mitchel Robinson Pdf

Author : Robert Nieuwenhuis
Publisher : Springer Science & Business Media
Page : 470 pages
File Size : 41,8 Mb
Release : 2005-07-14
Category : Computers
ISBN : 9783540280057

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Automated Deduction – CADE-20 by Robert Nieuwenhuis Pdf

This book constitutes the refereed proceedings of the 20th International Conference on Automated Deduction, CADE-20, held in Tallinn, Estonia, in July 2005. The 25 revised full papers and 5 system descriptions presented were carefully reviewed and selected from 78 submissions. All current aspects of automated deduction are addressed, ranging from theoretical and methodological issues to presentation and evaluation of theorem provers and logical reasoning systems.

Author : Bernhard Gramlich
Publisher : Springer
Page : 321 pages
File Size : 47,5 Mb
Release : 2005-09-14
Category : Computers
ISBN : 9783540317302

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Frontiers of Combining Systems by Bernhard Gramlich Pdf

This book constitutes the refereed proceedings of the 5th International Workshop on Frontiers of Combining Systems, FroCoS 2005, held in Vienna, Austria, in September 2005. The 19 revised full papers presented including 2 system descriptions were carefully reviewed and selected from 28 submissions. The papers 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.

Author : Moshe Vardi,Andrei Voronkov
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 48,7 Mb
Release : 2003-09-12
Category : Computers
ISBN : 9783540201014

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Logic for Programming, Artificial Intelligence, and Reasoning by Moshe Vardi,Andrei Voronkov Pdf

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.

Author : John Harrison
Publisher : Cambridge University Press
Page : 683 pages
File Size : 53,6 Mb
Release : 2009-03-12
Category : Computers
ISBN : 9781139479271

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Handbook of Practical Logic and Automated Reasoning by John Harrison Pdf

The sheer complexity of computer systems has meant that automated reasoning, i.e. the ability of computers to perform logical inference, has become a vital component of program construction and of programming language design. This book meets the demand for a self-contained and broad-based account of the concepts, the machinery and the use of automated reasoning. The mathematical logic foundations are described in conjunction with practical application, all with the minimum of prerequisites. The approach is constructive, concrete and algorithmic: a key feature is that methods are described with reference to actual implementations (for which code is supplied) that readers can use, modify and experiment with. This book is ideally suited for those seeking a one-stop source for the general area of automated reasoning. It can be used as a reference, or as a place to learn the fundamentals, either in conjunction with advanced courses or for self study.

Author : Boris Konev
Publisher : Springer Science & Business Media
Page : 292 pages
File Size : 54,9 Mb
Release : 2007-08-23
Category : Computers
ISBN : 9783540746201

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Frontiers of Combining Systems by Boris Konev Pdf

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.

Author : Silvio Ghilardi,Roberto Sebastiani
Publisher : Springer
Page : 383 pages
File Size : 46,5 Mb
Release : 2009-09-29
Category : Computers
ISBN : 9783642042225

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Frontiers of Combining Systems by Silvio Ghilardi,Roberto Sebastiani Pdf

This book constitutes the refereed proceedings of the 7th International Symposium on Frontiers of Combining Systems, FroCoS 2007, held in Trento, Italy, September 16-18, 2009. The 20 revised full papers presented were carefully reviewed and selected. The papers 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.

Author : Cesare Tinelli,Viorica Sofronie-Stokkermans
Publisher : Springer
Page : 275 pages
File Size : 50,7 Mb
Release : 2011-10-01
Category : Computers
ISBN : 9783642243646

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Frontiers of Combining Systems by Cesare Tinelli,Viorica Sofronie-Stokkermans Pdf

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.

Author : David Basin,Michael Rusinowitch
Publisher : Springer
Page : 491 pages
File Size : 53,5 Mb
Release : 2004-06-08
Category : Computers
ISBN : 9783540259848

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Automated Reasoning by David Basin,Michael Rusinowitch Pdf

This volume constitutes the proceedings of the 2nd International Joint C- ference on Automated Reasoning (IJCAR 2004) held July 4–8, 2004 in Cork, Ireland. IJCAR 2004 continued the tradition established at the ?rst IJCAR in Siena,Italyin2001,whichbroughttogetherdi?erentresearchcommunitieswo- ing in automated reasoning. The current IJCAR is the fusion of the following conferences: CADE: The International Conference on Automated Deduction, CALCULEMUS: Symposium on the Integration of Symbolic Computation and Mechanized Reasoning, FroCoS: Workshop on Frontiers of Combining Systems, FTP: The International Workshop on First-Order Theorem Proving, and TABLEAUX: The International Conference on Automated Reasoning with Analytic Tableaux and Related Methods. There were 74 research papers submitted to IJCAR as well as 12 system descriptions. After extensive reviewing, 26 research papers and 6 system - scriptions were accepted for presentation at the conference and publication in this volume. In addition, this volume also contains papers from the three invited speakers and a description of the CADE ATP system competition. We would like to acknowledge the enormous amount of work put in by the members of the program committee, the various organizing and steering c- mittees, the IJCAR o?cials, the invited speakers, and the additional referees named on the following pages. We would also like to thank Achim Brucker and Barbara Geiser for their help in producing this volume.

Author : J.D. Monk
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 54,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468494525

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Mathematical Logic by J.D. Monk Pdf

From the Introduction: "We shall base our discussion on a set-theoretical foundation like that used in developing analysis, or algebra, or topology. We may consider our task as that of giving a mathematical analysis of the basic concepts of logic and mathematics themselves. Thus we treat mathematical and logical practice as given empirical data and attempt to develop a purely mathematical theory of logic abstracted from these data." There are 31 chapters in 5 parts and approximately 320 exercises marked by difficulty and whether or not they are necessary for further work in the book.

Author : Kenneth McMillan,Xavier Rival
Publisher : Springer
Page : 507 pages
File Size : 53,8 Mb
Release : 2014-01-03
Category : Computers
ISBN : 9783642540134

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Verification, Model Checking, and Abstract Interpretation by Kenneth McMillan,Xavier Rival Pdf

This book constitutes the refereed proceedings of the 15th International Conference on Verification, Model Checking and Abstract Interpretation, VMCAI 2014, held in San Diego, CA, USA, in January 2013. The 25 revised full papers presented were carefully reviewed and selected from 64 submissions. The papers cover a wide range of topics including program verification, model checking, abstract interpretation and abstract domains, program synthesis, static analysis, type systems, deductive methods, program certification, debugging techniques, program transformation, optimization, hybrid and cyber-physical systems.

Author : Stéphane Demri,Deepak Kapur,Christoph Weidenbach
Publisher : Springer
Page : 528 pages
File Size : 45,7 Mb
Release : 2014-07-01
Category : Mathematics
ISBN : 9783319085876

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Automated Reasoning by Stéphane Demri,Deepak Kapur,Christoph Weidenbach Pdf

This book constitutes the refereed proceedings of the 7th International Joint Conference on Automated Reasoning, IJCAR 2014, held as part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. IJCAR 2014 was a merger of three leading events in automated reasoning, namely CADE (International Conference on Automated Deduction), FroCoS (International Symposium on Frontiers of Combining Systems) and TABLEAUX (International Conference on Automated Reasoning with Analytic Tableaux and Related Methods). The 26 revised full research papers and 11 system descriptions presented together with 3 invited talks were carefully reviewed and selected from 83 submissions. The papers have been organized in topical sections on HOL, SAT and QBF, SMT, equational reasoning, verification, proof theory, modal and temporal reasoning, SMT and SAT, modal logic, complexity, description logics and knowledge representation and reasoning.

Author : Jacques Duparc,Thomas A. Henzinger
Publisher : Springer
Page : 600 pages
File Size : 46,8 Mb
Release : 2007-08-24
Category : Computers
ISBN : 9783540749158

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Computer Science Logic by Jacques Duparc,Thomas A. Henzinger Pdf

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.