First-Order Logic and Automated Theorem Proving

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Publisher : Springer Science & Business Media
ISBN 13 : 1468403575
Total Pages : 258 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis First-Order Logic and Automated Theorem Proving by : Melvin Fitting

Download or read book First-Order Logic and Automated Theorem Proving written by Melvin Fitting and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Propositional Theorem Proving

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Publisher :
ISBN 13 :
Total Pages : 246 pages
Book Rating : 4.:/5 (321 download)

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Book Synopsis Propositional Theorem Proving by : Fumiaki Okushi

Download or read book Propositional Theorem Proving written by Fumiaki Okushi and published by . This book was released on 1998 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Symbolic Logic and Mechanical Theorem Proving

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Publisher : Academic Press
ISBN 13 : 0080917283
Total Pages : 349 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Symbolic Logic and Mechanical Theorem Proving by : Chin-Liang Chang

Download or read book Symbolic Logic and Mechanical Theorem Proving written by Chin-Liang Chang and published by Academic Press. This book was released on 2014-06-28 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Avoiding equivalence explosions in automated theorem proving - propositional logic

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Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (459 download)

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Book Synopsis Avoiding equivalence explosions in automated theorem proving - propositional logic by : Graham Wrightson

Download or read book Avoiding equivalence explosions in automated theorem proving - propositional logic written by Graham Wrightson and published by . This book was released on 1979 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Interactive Theorem Proving and Program Development

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Publisher : Springer Science & Business Media
ISBN 13 : 366207964X
Total Pages : 492 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Interactive Theorem Proving and Program Development by : Yves Bertot

Download or read book Interactive Theorem Proving and Program Development written by Yves Bertot and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Propositional Theorem Proving by Semantic Tree Trimming for Hardware Verification

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Publisher :
ISBN 13 :
Total Pages : 260 pages
Book Rating : 4.:/5 (438 download)

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Book Synopsis Propositional Theorem Proving by Semantic Tree Trimming for Hardware Verification by : William John Yakowenko

Download or read book Propositional Theorem Proving by Semantic Tree Trimming for Hardware Verification written by William John Yakowenko and published by . This book was released on 1999 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

First-Order Logic and Automated Theorem Proving

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Publisher :
ISBN 13 : 9781468403596
Total Pages : 0 pages
Book Rating : 4.4/5 (35 download)

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Book Synopsis First-Order Logic and Automated Theorem Proving by : Department of Mathematics and Computer Science Lehman College Melvin Fitting

Download or read book First-Order Logic and Automated Theorem Proving written by Department of Mathematics and Computer Science Lehman College Melvin Fitting and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph on classical logic presents fundamental concepts and results in a rigorous mathematical style. Applications to automated theorem proving are considered and usable programs in Prolog are provided. This material can be used both as a first text in formal logic and as an introduction to automation issues, and is intended for those interested in computer science and mathematics at the beginning graduate level. The book begins with propositional logic, then treats first-order logic, and finally, first-order logic with equality. In each case the initial presentation is semantic: Boolean valuations for propositional logic, models for first-order logic, and normal models when equality is added. This defines the intended subjects independently of a particular choice of proof mechanism. Then many kinds of proof procedures are introduced: tableau, resolution, natural deduction, Gentzen sequent and axiom systems. Completeness issues are centered in a model existence theorem, which permits the coverage of a variety of proof procedures without repetition of detail. In addition, results such as compactness, interpolation, and the Beth definability theorem are easily established.Implementations of tableau theorem provers are given in Prolog, and resolution is left as a project for the student.

Avoiding Equivalence Explosions in Automated Theorem Proving; Propositional Logic

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Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (897 download)

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Book Synopsis Avoiding Equivalence Explosions in Automated Theorem Proving; Propositional Logic by : G. Wrightson

Download or read book Avoiding Equivalence Explosions in Automated Theorem Proving; Propositional Logic written by G. Wrightson and published by . This book was released on 1979 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fast theorem proving in intuitionistic propositional logic

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (461 download)

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Book Synopsis Fast theorem proving in intuitionistic propositional logic by : Maks I. Konvič

Download or read book Fast theorem proving in intuitionistic propositional logic written by Maks I. Konvič and published by . This book was released on 1991 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Machine Learning for Automated Theorem Proving

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Publisher :
ISBN 13 : 9781680838985
Total Pages : 202 pages
Book Rating : 4.8/5 (389 download)

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Book Synopsis Machine Learning for Automated Theorem Proving by : Sean B. Holden

Download or read book Machine Learning for Automated Theorem Proving written by Sean B. Holden and published by . This book was released on 2021-11-22 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).

Logic for Computer Science

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Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Fast Theorem Proving in Intuitionistic Propositional Logic

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (355 download)

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Book Synopsis Fast Theorem Proving in Intuitionistic Propositional Logic by : Max I. Kanovich

Download or read book Fast Theorem Proving in Intuitionistic Propositional Logic written by Max I. Kanovich and published by . This book was released on 1991 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: But such cases only arise for very unnatural formulas, i.e., for formulas that even in their best solutions need maximal cross-linking of all their possible subtasks. The theorem prover has been implemented in PASCAL.

A Logical Introduction to Proof

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Publisher : Springer Science & Business Media
ISBN 13 : 1461436311
Total Pages : 365 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis A Logical Introduction to Proof by : Daniel W. Cunningham

Download or read book A Logical Introduction to Proof written by Daniel W. Cunningham and published by Springer Science & Business Media. This book was released on 2012-09-19 with total page 365 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is intended for students who want to learn how to prove theorems and be better prepared for the rigors required in more advance mathematics. One of the key components in this textbook is the development of a methodology to lay bare the structure underpinning the construction of a proof, much as diagramming a sentence lays bare its grammatical structure. Diagramming a proof is a way of presenting the relationships between the various parts of a proof. A proof diagram provides a tool for showing students how to write correct mathematical proofs.

A Concise Introduction to Logic

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Publisher : Open SUNY Textbooks
ISBN 13 : 9781942341437
Total Pages : pages
Book Rating : 4.3/5 (414 download)

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Book Synopsis A Concise Introduction to Logic by : Craig DeLancey

Download or read book A Concise Introduction to Logic written by Craig DeLancey and published by Open SUNY Textbooks. This book was released on 2017-02-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Experimental Results on Propositional Theorem Proving with Boolean Ring

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Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (495 download)

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Book Synopsis Experimental Results on Propositional Theorem Proving with Boolean Ring by : 詹仁良

Download or read book Experimental Results on Propositional Theorem Proving with Boolean Ring written by 詹仁良 and published by . This book was released on 1997 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Automated Theorem Proving

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Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Principles of Automated Theorem Proving by : David A. Duffy

Download or read book Principles of Automated Theorem Proving written by David A. Duffy and published by . This book was released on 1991-09-09 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

What Truth is

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Publisher : Oxford University Press
ISBN 13 : 0198823819
Total Pages : 369 pages
Book Rating : 4.1/5 (988 download)

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Book Synopsis What Truth is by : Mark Jago

Download or read book What Truth is written by Mark Jago and published by Oxford University Press. This book was released on 2018 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mark Jago offers a new metaphysical account of truth. He argues that to be true is to be made true by the existence of a suitable worldly entity. Truth arises as a relation between a proposition - the content of our sayings, thoughts, beliefs, and so on - and an entity (or entities) in the world.