Symbolic Logic And Mechanical Theorem Proving
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Symbolic Logic And Mechanical Theorem Proving
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Author : Chin-Liang Chang
language : en
Publisher: Academic Press
Release Date : 2014-06-28
Symbolic Logic And Mechanical Theorem Proving written by Chin-Liang Chang and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-28 with Mathematics categories.
This book contains an introduction to symbolic logic and a thorough discussion of mechanical theorem proving and its applications. The book consists of three major parts. Chapters 2 and 3 constitute an introduction to symbolic logic. Chapters 4-9 introduce several techniques in mechanical theorem proving, and Chapters 10 an 11 show how theorem proving can be applied to various areas such as question answering, problem solving, program analysis, and program synthesis.
Stacs 94
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Author : Patrice Enjalbert
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-02-09
Stacs 94 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 1994-02-09 with Computers categories.
This volume constitutes the proceedings of the 11th annual Symposium on Theoretical Aspects of Computer Science (STACS '94), held in Caen, France, February 24-26, 1994. Besides three prominent invited papers, the proceedings contains 60 accepted contributions chosen by the international program committee during a highly competitive reviewing process from a total of 234 submissions for 38 countries. The volume competently represents most areas of theoretical computer science with a certain emphasis on (parallel) algorithms and complexity.
Mechanical Theorem Proving In Geometries
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Author : Wen-tsün Wu
language : en
Publisher: Springer Science & Business Media
Release Date : 1994-04-14
Mechanical Theorem Proving In Geometries written by Wen-tsün Wu 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 1994-04-14 with Computers categories.
This book is a translation of Professor Wu’s seminal Chinese book of 1984 on Automated Geometric Theorem Proving. The translation was done by his former student Dongming Wang jointly with Xiaofan Jin so that authenticity is guaranteed. Meanwhile, automated geometric theorem proving based on Wu’s method of characteristic sets has become one of the fundamental, practically successful, methods in this area that has drastically enhanced the scope of what is computationally tractable in automated theorem proving. This book is a source book for students and researchers who want to study both the intuitive first ideas behind the method and the formal details together with many examples.
Logic For Computer Science
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Author : Jean H. Gallier
language : en
Publisher: Courier Dover Publications
Release Date : 2015-06-18
Logic For Computer Science written by Jean H. Gallier and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Mathematics categories.
This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.
Propositional Logic
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Author : Hans Kleine Büning
language : en
Publisher: Cambridge University Press
Release Date : 1999-08-28
Propositional Logic written by Hans Kleine Büning and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-08-28 with Computers categories.
This account of propositional logic concentrates on the algorithmic translation of important methods, especially of decision procedures for (subclasses of) propositional logic. Important classical results and a series of new results taken from the fields of normal forms, satisfiability and deduction methods are arranged in a uniform and complete theoretic framework. The algorithms presented can be applied to VLSI design, deductive databases and other areas. After introducing the subject the authors discuss satisfiability problems and satisfiability algorithms with complexity considerations, the resolution calculus with different refinements, and special features and procedures for Horn formulas. Then, a selection of further calculi and some results on the complexity of proof procedures are presented. The last chapter is devoted to quantified boolean formulas. The algorithmic approach will make this book attractive to computer scientists and graduate students in areas such as automated reasoning, logic programming, complexity theory and pure and applied logic.
Computational Logic And Proof Theory
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Author : Georg Gottlob
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-13
Computational Logic And Proof Theory written by Georg Gottlob 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 1997-08-13 with Computers categories.
This book constitutes the refereed proceedings of the 5th Kurt Gödel Colloquium on Computational Logic and Proof Theory, KGC '97, held in Vienna, Austria, in August 1997. The volume presents 20 revised full papers selected from 38 submitted papers. Also included are seven invited contributions by leading experts in the area. The book documents interdisciplinary work done in the area of computer science and mathematical logics by combining research on provability, analysis of proofs, proof search, and complexity.
Automated Deduction Cade 25
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Author : Amy P. Felty
language : en
Publisher: Springer
Release Date : 2015-07-30
Automated Deduction Cade 25 written by Amy P. Felty and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-30 with Computers categories.
This book constitutes the proceedings of the 25th International Conference on Automated Deduction, CADE-25, held in Berlin, Germany, in August 2015. The 36 revised full papers presented ( 24 full papers and 12 system descriptions) were carefully reviewed and selected from 85 submissions. CADE is the major forum for the presentation of research in all aspects of automated deduction, including foundations, applications, implementations and practical experience.
7th International Conference On Automated Deduction
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Author : R. E. Shostak
language : en
Publisher: Springer
Release Date : 2011-05-09
7th International Conference On Automated Deduction written by R. E. Shostak and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-09 with Mathematics categories.
The Seventh International Conference on Automated Deduction was held May 14-16, 19S4, in Napa, California. The conference is the primary forum for reporting research in all aspects of automated deduction, including the design, implementation, and applications of theorem-proving systems, knowledge representation and retrieval, program verification, logic programming, formal specification, program synthesis, and related areas. The presented papers include 27 selected by the program committee, an invited keynote address by Jorg Siekmann, and an invited banquet address by Patrick Suppes. Contributions were presented by authors from Canada, France, Spain, the United Kingdom , the United States, and West Germany. The first conference in this series was held a decade earlier in Argonne, Illinois. Following the Argonne conference were meetings in Oberwolfach, West Germany (1976), Cambridge, Massachusetts (1977), Austin, Texas (1979), Les Arcs, France (19S0), and New York, New York (19S2). Program Committee P. Andrews (CMU) W.W. Bledsoe (U. Texas) past chairman L. Henschen (Northwestern) G. Huet (INRIA) D. Loveland (Duke) past chairman R. Milner (Edinburgh) R. Overbeek (Argonne) T. Pietrzykowski (Acadia) D. Plaisted (U. Illinois) V. Pratt (Stanford) R. Shostak (SRI) chairman J. Siekmann (U. Kaiserslautern) R. Waldinger (SRI) Local Arrangements R. Schwartz (SRI) iv CONTENTS Monday Morning Universal Unification (Keynote Address) Jorg H. Siekmann (FRG) .
Theorem Proving In Higher Order Logics
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Author : Elsa L. Gunter
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-08-06
Theorem Proving In Higher Order Logics written by Elsa L. Gunter 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 1997-08-06 with Computers categories.
This book constitutes the refereed proceedings of the 10th International Conference on Theorem Proving in Higher Order Logics, TPHOLs '97, held in Murray Hill, NJ, USA, in August 1997. The volume presents 19 carefully revised full papers selected from 32 submissions during a thorough reviewing process. The papers cover work related to all aspects of theorem proving in higher order logics, particularly based on secure mechanization of those logics; the theorem proving systems addressed include Coq, HOL, Isabelle, LEGO, and PVS.
Natural Deduction Hybrid Systems And Modal Logics
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Author : Andrzej Indrzejczak
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-07-03
Natural Deduction Hybrid Systems And Modal Logics written by Andrzej Indrzejczak 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 2010-07-03 with Philosophy categories.
A good title should be informative enough to illuminate a potential reader on the content of a book. We hope that the present title gives at least some hints of what this book is about. The notion of natural deduction or modal logic are rather well known, but the notion of “hybrid system” certainly needs some explanation. In short, this study may be seen as a kind of search for good deductive systems. We think of systems good in practice which may be applied with easenotonlybywelltrainedlogiciansbutalso, forexample, byphilosophers who need handy deductive tools accompanying their analyses. In parti- lar, we are interested in providing systems that may be widely applied in teaching logic. Nowadays one may observe that several courses in “critical thinking” tend to eliminate courses in practical logic. On the other hand, logic is often taught as a strictly mathematical discipline in very dema- ing courses. It is important to ?ll the gap between these extrema, and the crucial ingredient of any course which is supposed to teach how to use logic, is certainly a suitable deductive system. Since we address this work to a wide audience interested in applications of logic, we were trying to make it self-contained and accessible to a reader with no hard training in logic. The assumed reader should have some ba- ground in logic (an elementary course covering classical propositional and ?rst-order logic with basics of set theory is enough) but not necessarily in modal logic.