Principles Of Automated Theorem Proving

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Principles Of Automated Theorem Proving

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Author : David A. Duffy
language : en
Publisher:
Release Date : 1991-09-09

Principles Of Automated Theorem Proving written by David A. Duffy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-09 with Computers categories.

An overview of ATP techniques for the non-specialist, it discusses all the main approaches to proof: resolution, natural deduction, sequentzen, and the connection calculi. Also discusses strategies for their application and three major implemented systems. Looks in detail at the new field of ``inductionless induction'' and brings out its relationship to the classical approach to proof by induction.

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.

Principles Of Automated Theorem Proving

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Author : David A. Duffy
language : en
Publisher:
Release Date : 1991-01-01

Principles Of Automated Theorem Proving written by David A. Duffy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-01-01 with Automatic theorem proving categories.

First Order Logic And Automated Theorem Proving

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Author : Melvin Fitting
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

First Order Logic And Automated Theorem Proving written by Melvin Fitting 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 2012-12-06 with Computers categories.

There are many kinds of books on formal logic. Some have philosophers as their intended audience, some mathematicians, some computer scientists. Although there is a common core to all such books they will be very dif ferent in emphasis, methods, and even appearance. This book is intended for computer scientists. But even this is not precise. Within computer sci ence formal logic turns up in a number of areas, from program verification to logic programming to artificial intelligence. This book is intended for computer scientists interested in automated theorem 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.

Principles Of Knowledge Representation And Reasoning

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Author : Anthony G. Cohn
language : en
Publisher: Morgan Kaufmann
Release Date : 1998

Principles Of Knowledge Representation And Reasoning written by Anthony G. Cohn and has been published by Morgan Kaufmann this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Computers categories.

Principia Mathematica

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Author : Alfred North Whitehead
language : en
Publisher: Cambridge University Press
Release Date : 1927

Principia Mathematica written by Alfred North Whitehead 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 1927 with Mathematics categories.

The Principia Mathematica has long been recognised as one of the intellectual landmarks of the century.

Current Trends In Hardware Verification And Automated Theorem Proving

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Author : Graham Birtwistle
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Current Trends In Hardware Verification And Automated Theorem Proving written by Graham Birtwistle 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 2012-12-06 with Computers categories.

This report describes the partially completed correctness proof of the Viper 'block model'. Viper [7,8,9,11,23] is a microprocessor designed by W. J. Cullyer, C. Pygott and J. Kershaw at the Royal Signals and Radar Establishment in Malvern, England, (henceforth 'RSRE') for use in safety-critical applications such as civil aviation and nuclear power plant control. It is currently finding uses in areas such as the de ployment of weapons from tactical aircraft. To support safety-critical applications, Viper has a particulary simple design about which it is relatively easy to reason using current techniques and models. The designers, who deserve much credit for the promotion of formal methods, intended from the start that Viper be formally verified. Their idea was to model Viper in a sequence of decreasingly abstract levels, each of which concentrated on some aspect ofthe design, such as the flow ofcontrol, the processingofinstructions, and so on. That is, each model would be a specification of the next (less abstract) model, and an implementation of the previous model (if any). The verification effort would then be simplified by being structured according to the sequence of abstraction levels. These models (or levels) of description were characterized by the design team. The first two levels, and part of the third, were written by them in a logical language amenable to reasoning and proof.

Proceedings Of The First International Conference On Principles Of Knowledge Representation And Reasoning

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Author : Ronald J. Brachman
language : en
Publisher: Morgan Kaufmann Publishers
Release Date : 1989

Proceedings Of The First International Conference On Principles Of Knowledge Representation And Reasoning written by Ronald J. Brachman and has been published by Morgan Kaufmann Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.

Proceedings held May 1989. Topics include temporal logic, hierarchical knowledge bases, default theories, nonmonotonic and analogical reasoning, formal theories of belief revision, and metareasoning. Annotation copyright Book News, Inc. Portland, Or.

A Computational Logic

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Author : Robert S. Boyer
language : en
Publisher: Academic Press
Release Date : 2014-06-25

A Computational Logic written by Robert S. Boyer and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-25 with Mathematics categories.

ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.