Methods Of Cut Elimination

DOWNLOAD
Download Methods Of Cut Elimination PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Methods Of Cut Elimination book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Methods Of Cut Elimination
DOWNLOAD
Author : Matthias Baaz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-07
Methods Of Cut Elimination written by Matthias Baaz and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-07 with Mathematics categories.
This is the first book on cut-elimination in first-order predicate logic from an algorithmic point of view. Instead of just proving the existence of cut-free proofs, it focuses on the algorithmic methods transforming proofs with arbitrary cuts to proofs with only atomic cuts (atomic cut normal forms, so-called ACNFs). The first part investigates traditional reductive methods from the point of view of proof rewriting. Within this general framework, generalizations of Gentzen's and Sch\”utte-Tait's cut-elimination methods are defined and shown terminating with ACNFs of the original proof. Moreover, a complexity theoretic comparison of Gentzen's and Tait's methods is given. The core of the book centers around the cut-elimination method CERES (cut elimination by resolution) developed by the authors. CERES is based on the resolution calculus and radically differs from the reductive cut-elimination methods. The book shows that CERES asymptotically outperforms all reductive methods based on Gentzen's cut-reduction rules. It obtains this result by heavy use of subsumption theorems in clause logic. Moreover, several applications of CERES are given (to interpolation, complexity analysis of cut-elimination, generalization of proofs, and to the analysis of real mathematical proofs). Lastly, the book demonstrates that CERES can be extended to nonclassical logics, in particular to finitely-valued logics and to G\"odel logic.
Logic And Scientific Methods
DOWNLOAD
Author : Maria Luisa Dalla Chiara
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-12-31
Logic And Scientific Methods written by Maria Luisa Dalla Chiara and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-12-31 with Science categories.
This is the first of two volumes comprising the papers submitted for publication by the invited participants to the Tenth International Congress of Logic, Methodology and Philosophy of Science, held in Florence, August 1995. The Congress was held under the auspices of the International Union of History and Philosophy of Science, Division of Logic, Methodology and Philosophy of Science. The invited lectures published in the two volumes demonstrate much of what goes on in the fields of the Congress and give the state of the art of current research. The two volumes cover the traditional subdisciplines of mathematical logic and philosophical logic, as well as their interfaces with computer science, linguistics and philosophy. Philosophy of science is broadly represented, too, including general issues of natural sciences, social sciences and humanities. The papers in Volume One are concerned with logic, mathematical logic, the philosophy of logic and mathematics, and computer science.
Automated Reasoning
DOWNLOAD
Author : Nicola Olivetti
language : en
Publisher: Springer
Release Date : 2016-06-13
Automated Reasoning written by Nicola Olivetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-13 with Mathematics categories.
This book constitutes the refereed proceedings of the 8th International Joint Conference on Automated Reasoning, IJCAR 2016, held in Coimbra, Portugal, in June/July 2016. 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 9 system descriptions presented together with 4 invited talks were carefully reviewed and selected from 79 submissions. The papers have been organized in topical sections on satisfiability of Boolean formulas, satisfiability modulo theory, rewriting, arithmetic reasoning and mechanizing mathematics, first-order logic and proof theory, first-order theorem proving, higher-order theorem proving, modal and temporal logics, non-classical logics, and verification.
Automated Deduction Cade 18
DOWNLOAD
Author : Andrei Voronkov
language : en
Publisher: Springer
Release Date : 2003-08-02
Automated Deduction Cade 18 written by Andrei Voronkov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-08-02 with Computers categories.
The First CADE in the Third Millennium This volume contains the papers presented at the Eighteenth International C- ference on Automated Deduction (CADE-18) held on July 27–30th, 2002, at the University of Copenhagen as part of the Federated Logic Conference (FLoC 2002). Despite a large number of deduction-related conferences springing into existence at the end of the last millennium, the CADE conferences continue to be the major forum for the presentation of new research in all aspects of automated deduction. CADE-18 was sponsored by the Association for Auto- ted Reasoning, CADE Inc., the Department of Computer Science at Chalmers University, the Gesellschaft fur ̈ Informatik, Safelogic AB, and the University of Koblenz-Landau. There were 70 submissions, including 60 regular papers and 10 system - scriptions. Each submission was reviewed by at least ?ve program committee members and an electronic program committee meeting was held via the Int- net. The committee decided to accept 27 regular papers and 9 system descr- tions. One paper switched its category after refereeing, thus the total number of system descriptions in this volume is 10. In addition to the refereed papers, this volume contains an extended abstract of the CADE invited talk by Ian Horrocks, the joint CADE/CAV invited talk by Sharad Malik, and the joint CADE-TABLEAUX invited talk by Matthias Baaz. One more invited lecture was given by Daniel Jackson.
Automated Reasoning With Analytic Tableaux And Related Methods
DOWNLOAD
Author : Revantha Ramanayake
language : en
Publisher: Springer Nature
Release Date : 2023-09-13
Automated Reasoning With Analytic Tableaux And Related Methods written by Revantha Ramanayake and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-13 with Computers categories.
This open access book constitutes the proceedings of the proceedings of the 32nd International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2023, held in Prague, Czech Republic, during September 18-21, 2023. The 20 full papers and 5 short papers included in this book together with 5 abstracts of invited talks were carefully reviewed and selected from 43 submissions. They present research on all aspects of the mechanization of reasoning with tableaux and related methods. The papers are organized in the following topical sections: tableau calculi; sequent calculi; theorem proving; non-wellfounded proofs; modal logics; linear logic and MV-algebras; separation logic; and first-order logics.
Automated Reasoning With Analytic Tableaux And Related Methods
DOWNLOAD
Author : Anupam Das
language : en
Publisher: Springer Nature
Release Date : 2021-08-31
Automated Reasoning With Analytic Tableaux And Related Methods written by Anupam Das and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-08-31 with Computers categories.
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.
Logical Foundations Of Computer Science
DOWNLOAD
Author : Sergei Artemov
language : en
Publisher: Springer
Release Date : 2009-02-11
Logical Foundations Of Computer Science written by Sergei Artemov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-11 with Computers categories.
This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2009, held in Deerfield Beach, Florida, USA in January 2008. The volume presents 31 revised refereed papers carefully selected by the program committee. All current aspects of logic in computer science are addressed, including constructive mathematics and type theory, logical foundations of programming, logical aspects of computational complexity, logic programming and constraints, automated deduction and interactive theorem proving, logical methods in protocol and program verification and in program specification and extraction, domain theory logics, logical foundations of database theory, equational logic and term rewriting, lambda and combinatory calculi, categorical logic and topological semantics, linear logic, epistemic and temporal logics, intelligent and multiple agent system logics, logics of proof and justification, nonmonotonic reasoning, logic in game theory and social software, logic of hybrid systems, distributed system logics, system design logics, as well as other logics in computer science.
Logic For Programming Artificial Intelligence And Reasoning
DOWNLOAD
Author : Franz Baader
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-03-07
Logic For Programming Artificial Intelligence And Reasoning written by Franz Baader and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-03-07 with Computers categories.
This book constitutes the refereed proceedings of the 11th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2004, held in Montevideo, Uruguay in March 2005. The 33 revised full papers presented together with abstracts of 4 invited papers were carefully reviewed and selected from 77 submissions. The papers address all current issues in logic programming, automated reasoning, and AI logics in particular description logics, fuzzy logic, linear logic, multi-modal logic, proof theory, formal verification, protocol verification, constraint logic programming, programming calculi, theorem proving, etc.
Automated Reasoning With Analytic Tableaux And Related Methods
DOWNLOAD
Author : Martin Giese
language : en
Publisher: Springer
Release Date : 2009-10-20
Automated Reasoning With Analytic Tableaux And Related Methods written by Martin Giese and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-10-20 with Computers categories.
This volume contains the research papers presented at the International C- ference on Automated Reasoning with Analytic Tableaux and Related Methods (TABLEAUX 2009) held July 6-10, 2009 in Oslo, Norway. This conference was the 18th in a series of international meetings since 1992 (listed on page IX). It was collocated with FTP 2009, the Workshop on First-Order Theorem Proving. The Program Committee of TABLEAUX 2009 received 44 submissions from 24 countries. Each paper was reviewed by at least three referees, after which the reviews were sent to the authors for comment in a rebuttal phase. After a ?nal intensive discussion on the borderline papers during the online meeting of the Program Committee, 21 research papers and 1 system description were accepted based on originality, technical soundness, presentation, and relevance. Additionally,three positionpaperswereaccepted,whicharepublished asate- nical report of the University of Oslo. We wish to sincerely thank all the authors who submitted their work for consideration. And we would like to thank the Program Committee members and other referees for their great e?ort and p- fessional work in the review and selection process. Their names are listed on the following pages.
Logic Language And Computation
DOWNLOAD
Author : Martin Aher
language : en
Publisher: Springer
Release Date : 2015-05-04
Logic Language And Computation written by Martin Aher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-04 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Tbilisi Symposium on Logic, Language and Computation, TbiLLC 2013, held in Gudauri, Georgia, in September 2013. The conference series is centered around the interaction between logic, language and computation. The contributions represent these three fields and the symposia aim to foster interaction between them. The book consists of 16 papers that were carefully reviewed and selected from 26 submissions. Each paper has passed through a rigorous peer-review process before being accepted for publication. The volume also contains two summaries of the tutorials that took place at the symposium: the one on admissible rules and the one on the formal semantics of aspectual meaning from a cross-linguistic perspective.