Automated Theorem Proving

Author : Monty Newborn
Publisher : Springer Science & Business Media
Page : 244 pages
File Size : 41,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461300892

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Automated Theorem Proving by Monty Newborn Pdf

This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.

Author : Melvin Fitting
Publisher : Springer Science & Business Media
Page : 258 pages
File Size : 54,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468403572

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First-Order Logic and Automated Theorem Proving by Melvin Fitting Pdf

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.

Author : Johann M. Schumann
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 42,8 Mb
Release : 2013-06-29
Category : Computers
ISBN : 9783662226469

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Automated Theorem Proving in Software Engineering by Johann M. Schumann Pdf

Growing demands for the quality, safety, and security of software can only be satisfied by the rigorous application of formal methods during software design. This book methodically investigates the potential of first-order logic automated theorem provers for applications in software engineering. Illustrated by complete case studies on protocol verification, verification of security protocols, and logic-based software reuse, this book provides techniques for assessing the prover's capabilities and for selecting and developing an appropriate interface architecture.

Author : D.W. Loveland
Publisher : Elsevier
Page : 419 pages
File Size : 41,6 Mb
Release : 2016-08-19
Category : Computers
ISBN : 9781483296777

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Automated Theorem Proving: A Logical Basis by D.W. Loveland Pdf

Automated Theorem Proving: A Logical Basis

Author : Monty Newborn
Publisher : Springer Science & Business Media
Page : 250 pages
File Size : 42,8 Mb
Release : 2000-12-15
Category : Mathematics
ISBN : 0387950753

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Automated Theorem Proving by Monty Newborn Pdf

This text and software package introduces readers to automated theorem proving, while providing two approaches implemented as easy-to-use programs. These are semantic-tree theorem proving and resolution-refutation theorem proving. The early chapters introduce first-order predicate calculus, well-formed formulae, and their transformation to clauses. Then the author goes on to show how the two methods work and provides numerous examples for readers to try their hand at theorem-proving experiments. Each chapter comes with exercises designed to familiarise the readers with the ideas and with the software, and answers to many of the problems.

Author : David A. Duffy
Publisher : Unknown
Page : 272 pages
File Size : 52,8 Mb
Release : 1991-09-09
Category : Computers
ISBN : UOM:39015021996932

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Principles of Automated Theorem Proving by David A. Duffy Pdf

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.

Author : Jean H. Gallier
Publisher : Courier Dover Publications
Page : 532 pages
File Size : 41,7 Mb
Release : 2015-06-18
Category : Mathematics
ISBN : 9780486780825

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Logic for Computer Science by Jean H. Gallier Pdf

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.

Author : John Harrison
Publisher : Cambridge University Press
Page : 703 pages
File Size : 47,5 Mb
Release : 2009-03-12
Category : Computers
ISBN : 9780521899574

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Handbook of Practical Logic and Automated Reasoning by John Harrison Pdf

A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Author : W. W. Bledsoe,American Mathematical Society. Meeting
Publisher : American Mathematical Soc.
Page : 360 pages
File Size : 54,6 Mb
Release : 1984
Category : Mathematics
ISBN : 9780821850275

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Automated Theorem Proving: After 25 Years by W. W. Bledsoe,American Mathematical Society. Meeting Pdf

Author : Paul B. Thistlewaite,Michael A. McRobbie,Robert K. Meyer
Publisher : Pitman Publishing
Page : 164 pages
File Size : 48,7 Mb
Release : 1988
Category : Computers
ISBN : STANFORD:36105032421294

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Automated Theorem-proving in Non-classical Logics by Paul B. Thistlewaite,Michael A. McRobbie,Robert K. Meyer Pdf

Author : Sean B. Holden
Publisher : Unknown
Page : 202 pages
File Size : 48,8 Mb
Release : 2021-11-22
Category : Electronic
ISBN : 1680838989

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Machine Learning for Automated Theorem Proving by Sean B. Holden Pdf

In this book, the author presents the results of his thorough and systematic review of the research at the intersection of two apparently rather unrelated fields: Automated Theorem Proving (ATP) and Machine Learning (ML).

Author : Yves Bertot,Pierre Castéran
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 48,9 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9783662079645

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Interactive Theorem Proving and Program Development by Yves Bertot,Pierre Castéran Pdf

A practical introduction to the development of proofs and certified programs using Coq. An invaluable tool for researchers, students, and engineers interested in formal methods and the development of zero-fault software.

Author : Anonim
Publisher : Unknown
Page : 0 pages
File Size : 54,6 Mb
Release : 1985
Category : Electronic
ISBN : OCLC:916413069

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Automated Theorem Proving by Anonim Pdf

Author : Gilles Dowek
Publisher : Springer Science & Business Media
Page : 161 pages
File Size : 49,5 Mb
Release : 2011-01-11
Category : Computers
ISBN : 9780857291219

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Proofs and Algorithms by Gilles Dowek Pdf

Logic is a branch of philosophy, mathematics and computer science. It studies the required methods to determine whether a statement is true, such as reasoning and computation. Proofs and Algorithms: Introduction to Logic and Computability is an introduction to the fundamental concepts of contemporary logic - those of a proof, a computable function, a model and a set. It presents a series of results, both positive and negative, - Church's undecidability theorem, Gödel’s incompleteness theorem, the theorem asserting the semi-decidability of provability - that have profoundly changed our vision of reasoning, computation, and finally truth itself. Designed for undergraduate students, this book presents all that philosophers, mathematicians and computer scientists should know about logic.

Author : Wolfgang Bibel
Publisher : Springer-Verlag
Page : 307 pages
File Size : 54,9 Mb
Release : 2013-03-08
Category : Computers
ISBN : 9783322901002

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Automated Theorem Proving by Wolfgang Bibel Pdf