first order logic and automated theorem proving texts in computer science

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First Order Logic And Automated Theorem Proving

Author : Melvin Fitting
ISBN : 9781461223603
Genre : Mathematics
File Size : 79. 55 MB
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There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scien tists. Although there is a common core to all such books, they will be very different in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer science formal logic turns up in a number of areas, from pro gram verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theo rem proving in classical logic. To be more precise yet, it is essentially a theoretical treatment, not a how-to book, although how-to issues are not neglected. This does not mean, of course, that the book will be of no interest to philosophers or mathematicians. It does contain a thorough presentation of formal logic and many proof techniques, and as such it contains all the material one would expect to find in a course in formal logic covering completeness but, not incompleteness issues. The first item to be addressed is, What are we talking about and why are we interested in it? We are primarily talking about truth as used in mathematical discourse, and our interest in it is, or should be, self evident. Truth is a semantic concept, so we begin with models and their properties. These are used to define our subject.

Logic For Computer Science

Author : Jean H. Gallier
ISBN : 9780486780825
Genre : Computers
File Size : 83. 16 MB
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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.

Interactive Theorem Proving

Author : Gerwin Klein
ISBN : 9783319089706
Genre : Mathematics
File Size : 48. 29 MB
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This book constitutes the proceedings of the 5th International Conference on Interactive Theorem Proving, ITP 2014, Held as Part of the Vienna Summer of Logic, VSL 2014, in Vienna, Austria, in July 2014. The 35 papers presented in this volume were carefully reviewed and selected from 59 submissions. The topics range from theoretical foundations to implementation aspects and applications in program verification, security and formalization of mathematics.

Logic For Computer Science And Artificial Intelligence

Author : Ricardo Caferra
ISBN : 9781118604267
Genre : Technology & Engineering
File Size : 74. 36 MB
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Logic and its components (propositional, first-order,non-classical) play a key role in Computer Science and ArtificialIntelligence. While a large amount of information exists scatteredthroughout various media (books, journal articles, webpages, etc.),the diffuse nature of these sources is problematic and logic as atopic benefits from a unified approach. Logic for Computer Scienceand Artificial Intelligence utilizes this format, surveying thetableaux, resolution, Davis and Putnam methods, logic programming,as well as for example unification and subsumption. Fornon-classical logics, the translation method is detailed. Logic for Computer Science and Artificial Intelligence is theclassroom-tested result of several years of teaching at GrenobleINP (Ensimag). It is conceived to allow self-instruction for abeginner with basic knowledge in Mathematics and Computer Science,but is also highly suitable for use in traditional courses. Thereader is guided by clearly motivated concepts, introductions,historical remarks, side notes concerning connections with otherdisciplines, and numerous exercises, complete with detailedsolutions, The title provides the reader with the tools needed toarrive naturally at practical implementations of the concepts andtechniques discussed, allowing for the design of algorithms tosolve problems.

Proof Theory And Automated Deduction

Author : Jean Goubault-Larrecq
ISBN : 0792345932
Genre : Computers
File Size : 81. 92 MB
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Proof Theory and Automated Deduction is written for final-year undergraduate and first-year post-graduate students. It should also serve as a valuable reference for researchers in logic and computer science. It covers basic notions in logic, with a particular stress on proof theory, as opposed to, for example, model theory or set theory; and shows how they are applied in computer science, and especially the particular field of automated deduction, i.e. the automated search for proofs of mathematical propositions. We have chosen to give an in-depth analysis of the basic notions, instead of giving a mere sufficient analysis of basic and less basic notions. We often derive the same theorem by different methods, showing how different mathematical tools can be used to get at the very nature of the objects at hand, and how these tools relate to each other. Instead of presenting a linear collection of results, we have tried to show that all results and methods are tightly interwoven. We believe that understanding how to travel along this web of relations between concepts is more important than just learning the basic theorems and techniques by rote. Audience: The book is a valuable reference for researchers in logic and computer science.

Automated Reasoning With Analytic Tableaux And Related Methods

Author : Roy Dyckhoff
ISBN : UOM:39015047794998
Genre : Automatic theorem proving
File Size : 70. 2 MB
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This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000. The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.

Automated Reasoning With Analytic Tableaux And Related Methods

Author : Harrie de Swart
ISBN : 3540644067
Genre : Computers
File Size : 24. 94 MB
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This book constitutes the refereed proceedings of the 1998 International Conference on Analytic Tableaux and Related Methods, TABLEAUX'98, held in Oisterwijk near Tilburg, The Netherlands, in May 1998. The volume presents 17 revised full papers and three system descriptions selected from 34 submissions; also included are several abstracts of invited lectures, tutorials, and system comparison papers. The book presents new research results for automated deduction in various non-standard logics as well as in classical logic. Areas of application include software verification, systems verification, deductive databases, knowledge representation and its required inference engines, and system diagnosis.

Subject Guide To Books In Print

Author :
ISBN : STANFORD:36105025888533
Genre : American literature
File Size : 54. 78 MB
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Automated Deduction Cade 16

Author : Harald Ganzinger
ISBN : UOM:39015048147162
Genre : Automatic theorem proving
File Size : 61. 16 MB
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This book constitutes the refereed proceedings of the 16th International Conference on Automated Deduction, CADE-16, held in Trento, Italy in July 1999 as part of FLoC'99. The 21 revised full papers presented were carefully reviewed and selected from a total of 83 submissions. Also included are 15 system descriptions and two invited full papers. The book addresses all current issues in automated deduction and theorem proving, ranging from logical foundations to deduction systems design and evaluation

Bibliographic Guide To Computer Science

Author :
ISBN : STANFORD:36105013125054
Genre : Computer science
File Size : 67. 25 MB
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