The Efficiency Of Theorem Proving Strategies
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The Efficiency Of Theorem Proving Strategies
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Author : David A. Plaisted
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
The Efficiency Of Theorem Proving Strategies written by David A. Plaisted 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 2013-11-11 with Computers categories.
This is the second and slightly revised edition of this book. A few errors have been fixed, and some references to related work have been added. I thank the readers for their comments on the first edition. We analyze the search efficiency of a number of common refutational theorem proving strategies on propositional and near-propositional prob lems. Search efficiency is concerned with the total number of proofs and partial proofs generated, rather than with the sizes of the proofs. We show that most common strategies produce search spaces of expo nential size even on simple sets of clauses, or else are not sensitive to the goal. However, clause linking, which uses a reduction to proposi tional calculus, has behavior that is more favorable in some respects, a property that it shares with methods that cache subgoals. A strat egy which is of interest for term-rewriting based theorem proving is the A-ordering strategy, and we discuss it in some detail. We show some advantages of A-ordering over other strategies, which may help to explain its efficiency in practice. We also point out some of its com binatorial inefficiencies, especially in relation to goal-sensitivity and irrelevant clauses. In addition, SLD-resolution, which is of importance for Prolog implementation, has combinatorial inefficiencies; this may suggest basing Prolog implementations on a different theorem proving strategy. We also develop techniques for studying the asymptotic complexity of first-order theorem provers. This permits an analytic comparison of the worst-case performances of various theorem proving methods.
The Efficiency Of Theorem Proving Strategies
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Author : David A. Plaisted
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-13
The Efficiency Of Theorem Proving Strategies written by David A. Plaisted and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Technology & Engineering categories.
Dieses Buch in englischer Sprache widmet sich dem Thema der Effizienz von Beweisstrategien und bietet eine vergleichende und asymptotische Analyse. Das Werk stellt erstmalig asymptotische Schranken für die Größe der von vielen gebräuchlichen Beweisstrategien erzeugten Suchfelder bereit. Auf diese Weise erlaubt es ein theoretisches Verständnis der Effizienz unterschiedlicher Beweisverfahren. Es wird ein fundamental neues Werkzeug für den Effizienzvergleich von Beweisstrategien bereitgestellt. This book is unique in that it gives asymptotic bounds on the sizes of the search spaces generated by many common theorem proving strategies. Thus it permits one to gain a theoretical unterstanding of the efficiencies of many different theorem proving methods. This is a fundamental new tool in the comparative study of theorem proving strategies.
The Efficiency Of Theorem Proving Strategies
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Author : David A. Plaisted
language : en
Publisher:
Release Date : 2014-01-15
The Efficiency Of Theorem Proving Strategies written by David A. Plaisted and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Theorem Provers In Circuit Design
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Author : Ramayya Kumar
language : en
Publisher: Springer Science & Business Media
Release Date : 1995-03-06
Theorem Provers In Circuit Design written by Ramayya Kumar 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 1995-03-06 with Computers categories.
This two-volume set contains papers presented at the International Conference on Computational Engineering Science (ICES '95) held in Mauna Lani, Hawaii from 30 July to 3 August, 1995. The contributions capture the state of the science in computational modeling and simulation in a variety of engineering disciplines: civil, mechanical, aerospace, materials and electronics engineering.
Collected Works Of Larry Wos The In 2 Vols Vol I Exploring The Power Of Automated Reasoning Vol Ii Applying Automated Reasoning To Puzzles Problems And Open Questions
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Author : Gail W Pieper
language : en
Publisher: World Scientific
Release Date : 2000-01-21
Collected Works Of Larry Wos The In 2 Vols Vol I Exploring The Power Of Automated Reasoning Vol Ii Applying Automated Reasoning To Puzzles Problems And Open Questions written by Gail W Pieper and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-21 with Computers categories.
Automated reasoning programs are successfully tackling challenging problems in mathematics and logic, program verification, and circuit design. This two-volume book includes all the published papers of Dr Larry Wos, one of the world's pioneers in automated reasoning. It provides a wealth of information for students, teachers, researchers, and even historians of computer science about this rapidly growing field.The book has the following special features:(1) It presents the strategies introduced by Wos which have made automated reasoning a practical tool for solving challenging puzzles and deep problems in mathematics and logic;(2) It provides a history of the field — from its earliest stages as mechanical theorem proving to its broad base now as automated reasoning;(3) It illustrates some of the remarkable successes automated reasoning programs have had in tackling challenging problems in mathematics, logic, program verification, and circuit design;(4) It includes a CD-ROM, with a searchable index of all the papers, enabling readers to peruse the papers easily for ideas.
Stacs 93
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Author : Patrice Enjalbert
language : en
Publisher: Springer Science & Business Media
Release Date : 1993-02-19
Stacs 93 written by Patrice Enjalbert 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 1993-02-19 with Computers categories.
This volume contains the proceedings of the tenth annual Symposium on Theoretical Aspects of Computer Science (STACS '93), held in W}rzburg, February 25-27, 1993. The STACS symposia are held alternately in Germany and France, and organized jointly by the Special Interest Group for Theoretical Computer Science of the Gesellschaft f}r Informatik (GI) and theSpecial Interest Group for Applied Mathematics of the Association Francaise des Sciences et Technologies de l'Information et des Syst mes (afcet). The volume includes the three invited talks which opened the three days of the symposium: "Causal and distributed semantics for concurrent processes" (I. Castellani), "Parallel architectures: design and efficient use" (B. Monien et al.), and "Transparent proofs" (L. Babai). The selection of contributed papers is organized into parts on: computational complexity, logic in computer science, efficient algorithms, parallel and distributed computation, language theory, computational geometry, automata theory, semantics and logic of programming languages, automata theory and logic, circuit complexity, omega-automata, non-classical complexity, learning theory and cryptography, and systems.
Theorem Proving In Higher Order Logics
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Author : Jim Grundy
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-09-09
Theorem Proving In Higher Order Logics written by Jim Grundy 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 1998-09-09 with Computers categories.
This book constitutes the refereed proceedings of the 11th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '98, held in Canberra, Australia, in September/October 1998. The 26 revised full papers presented were carefully reviewed and selected from a total of 52 submissions. Also included are two invited papers. The papers address all current aspects of theorem proving in higher order logics and formal verification and program analysis. Besides the HOL system, the theorem provers Coq, Isabelle, LAMBDA, LEGO, NuPrl, and PVS are discussed.
Automated Deduction A Basis For Applications Volume I Foundations Calculi And Methods Volume Ii Systems And Implementation Techniques Volume Iii Applications
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Author : Wolfgang Bibel
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Automated Deduction A Basis For Applications Volume I Foundations Calculi And Methods Volume Ii Systems And Implementation Techniques Volume Iii Applications written by Wolfgang Bibel 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 2013-03-09 with Philosophy categories.
1. BASIC CONCEPTS OF INTERACTIVE THEOREM PROVING Interactive Theorem Proving ultimately aims at the construction of powerful reasoning tools that let us (computer scientists) prove things we cannot prove without the tools, and the tools cannot prove without us. Interaction typi cally is needed, for example, to direct and control the reasoning, to speculate or generalize strategic lemmas, and sometimes simply because the conjec ture to be proved does not hold. In software verification, for example, correct versions of specifications and programs typically are obtained only after a number of failed proof attempts and subsequent error corrections. Different interactive theorem provers may actually look quite different: They may support different logics (first-or higher-order, logics of programs, type theory etc.), may be generic or special-purpose tools, or may be tar geted to different applications. Nevertheless, they share common concepts and paradigms (e.g. architectural design, tactics, tactical reasoning etc.). The aim of this chapter is to describe the common concepts, design principles, and basic requirements of interactive theorem provers, and to explore the band width of variations. Having a 'person in the loop', strongly influences the design of the proof tool: proofs must remain comprehensible, - proof rules must be high-level and human-oriented, - persistent proof presentation and visualization becomes very important.
Mathematical Aspects Of Computer Science
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Author : Jacob T. Schwartz
language : en
Publisher: American Mathematical Soc.
Release Date : 1967
Mathematical Aspects Of Computer Science written by Jacob T. Schwartz and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Mathematics categories.
Advances In Information Systems
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Author : Tatyana Yakhno
language : en
Publisher: Springer
Release Date : 2004-10-19
Advances In Information Systems written by Tatyana Yakhno and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-19 with Computers categories.
This volume contains the proceedings of the 3rd International Conference on AdvancesinInformationSystems(ADVIS)heldinIzmir,Turkey,20–22October, 2004. This was the third conference dedicated to the memory of Prof. Esen Ozkarahan. We are very proud to continue this tradition and keep the memory of this outstanding scientist. The third conference covered many of the topics of the second one: databases and data warehouses, information systems development and management, - formation retrieval, distributed and parallel data processing, and evolutionary algorithms. Besides them some of the hot topics related to information systems were included in the scope of this conference, such as data mining and kno- edge discovery, Web information systems development, information privacy and security, multimedia information systems, and network management. This year we received 203 submissions from which the Program Committee selected 61 papers for presentation at the conference. The success of the conference was dependent upon the hard work of a large number of people. We gratefully acknowledge the contribution of the members of the Program Committee who did their best to review all submitted papers. We also thank all the specialists who helped us in reviewing the papers. We appreciated the constant support and help from the Rector of Dokuz Eylul University, Prof. Dr. Emin Alici. I would like to express my personal gratitude to Natalya Cheremnykh and Olga Drobyshevich for their help in producing the camera-ready version of these proceedings.