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Author : Paul B. Thistlewaite
Publisher : Pitman Publishing
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.F/5 ( download)
Download or read book Automated Theorem-proving in Non-classical Logics written by Paul B. Thistlewaite and published by Pitman Publishing. This book was released on 1988 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John G. Cleary
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (233 download)
Download or read book Automatic Theorem Proving in Non-classical Logics written by John G. Cleary and published by . This book was released on 1974 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ricardo Caferra
Publisher : Springer
ISBN 13 : 3540465081
Total Pages : 306 pages
Book Rating : 4.5/5 (44 download)
Download or read book Automated Deduction in Classical and Non-Classical Logics written by Ricardo Caferra and published by Springer. This book was released on 2003-07-31 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.
Author : Gerard Joseph McGovern
Publisher :
ISBN 13 :
Total Pages : 656 pages
Book Rating : 4.:/5 (222 download)
Download or read book Automatic Theorem-proving for Some Non-classical Logics written by Gerard Joseph McGovern and published by . This book was released on 1984 with total page 656 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Paul Brian Thistlewaite
Publisher :
ISBN 13 :
Total Pages : 372 pages
Book Rating : 4.:/5 (222 download)
Download or read book Automated Theorem-proving in Non-classical Logics written by Paul Brian Thistlewaite and published by . This book was released on 1984 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jens Otten
Publisher :
ISBN 13 :
Total Pages : 145 pages
Book Rating : 4.:/5 (889 download)
Download or read book Connection Calculi for Automated Theorem Proving in Classical and Non-classical Logics written by Jens Otten and published by . This book was released on 2013 with total page 145 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Melvin Fitting
Publisher : Springer Science & Business Media
ISBN 13 : 1468403575
Total Pages : 258 pages
Book Rating : 4.4/5 (684 download)
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.
Author : Anita Wasilewska
Publisher : Springer
ISBN 13 : 3319925911
Total Pages : 535 pages
Book Rating : 4.3/5 (199 download)
Download or read book Logics for Computer Science written by Anita Wasilewska and published by Springer. This book was released on 2018-11-03 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.
Author : Ofer Arieli
Publisher : Springer Nature
ISBN 13 : 3030712583
Total Pages : 369 pages
Book Rating : 4.0/5 (37 download)
Download or read book Arnon Avron on Semantics and Proof Theory of Non-Classical Logics written by Ofer Arieli and published by Springer Nature. This book was released on 2021-07-30 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of contributions honouring Arnon Avron’s seminal work on the semantics and proof theory of non-classical logics. It includes presentations of advanced work by some of the most esteemed scholars working on semantic and proof-theoretical aspects of computer science logic. Topics in this book include frameworks for paraconsistent reasoning, foundations of relevance logics, analysis and characterizations of modal logics and fuzzy logics, hypersequent calculi and their properties, non-deterministic semantics, algebraic structures for many-valued logics, and representations of the mechanization of mathematics. Avron’s foundational and pioneering contributions have been widely acknowledged and adopted by the scientific community. His research interests are very broad, spanning over proof theory, automated reasoning, non-classical logics, foundations of mathematics, and applications of logic in computer science and artificial intelligence. This is clearly reflected by the diversity of topics discussed in the chapters included in this book, all of which directly relate to Avron’s past and present works. This book is of interest to computer scientists and scholars of formal logic.
Author : Anthony Bloesch
Publisher :
ISBN 13 :
Total Pages : 285 pages
Book Rating : 4.:/5 (374 download)
Download or read book Signed Tableaux written by Anthony Bloesch and published by . This book was released on 1993* with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ricardo Caferra
Publisher : Springer
ISBN 13 : 9783540671909
Total Pages : 304 pages
Book Rating : 4.6/5 (719 download)
Download or read book Automated Deduction in Classical and Non-Classical Logics written by Ricardo Caferra and published by Springer. This book was released on 2000-02-09 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.
Author : Department of Mathematics and Computer Science Lehman College Melvin Fitting
Publisher :
ISBN 13 : 9781468403596
Total Pages : 0 pages
Book Rating : 4.4/5 (35 download)
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.
Author : Eric Schechter
Publisher : Princeton University Press
ISBN 13 : 9780691122793
Total Pages : 530 pages
Book Rating : 4.1/5 (227 download)
Download or read book Classical and Nonclassical Logics written by Eric Schechter and published by Princeton University Press. This book was released on 2005-08-28 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).
Author : P. Miglioli
Publisher : Springer Science & Business Media
ISBN 13 : 9783540612087
Total Pages : 348 pages
Book Rating : 4.6/5 (12 download)
Download or read book Theorem Proving with Analytic Tableaux and Related Methods written by P. Miglioli and published by Springer Science & Business Media. This book was released on 1996-04-24 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This books presents the refereed proceedings of the Fifth International Workshop on Analytic Tableaux and Related Methods, TABLEAUX '96, held in Terrasini near Palermo, Italy, in May 1996. The 18 full revised papers included together with two invited papers present state-of-the-art results in this dynamic area of research. Besides more traditional aspects of tableaux reasoning, the collection also contains several papers dealing with other approaches to automated reasoning. The spectrum of logics dealt with covers several nonclassical logics, including modal, intuitionistic, many-valued, temporal and linear logic.
Author : Jean Goubault-Larrecq
Publisher : Springer Science & Business Media
ISBN 13 : 9781402003684
Total Pages : 448 pages
Book Rating : 4.0/5 (36 download)
Download or read book Proof Theory and Automated Deduction written by Jean Goubault-Larrecq and published by Springer Science & Business Media. This book was released on 2001-11-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interest in computer applications has led to a new attitude to applied logic in which researchers tailor a logic in the same way they define a computer language. In response to this attitude, this text for undergraduate and graduate students discusses major algorithmic methodologies, and tableaux and resolution methods. The authors focus on first-order logic, the use of proof theory, and the computer application of automated searches for proofs of mathematical propositions. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Andrzej Indrzejczak
Publisher : Springer Science & Business Media
ISBN 13 : 9048187850
Total Pages : 515 pages
Book Rating : 4.0/5 (481 download)
Download or read book Natural Deduction, Hybrid Systems and Modal Logics written by Andrzej Indrzejczak and published by Springer Science & Business Media. This book was released on 2010-07-03 with total page 515 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a detailed exposition of one of the most practical and popular methods of proving theorems in logic, called Natural Deduction. It is presented both historically and systematically. Also some combinations with other known proof methods are explored. The initial part of the book deals with Classical Logic, whereas the rest is concerned with systems for several forms of Modal Logics, one of the most important branches of modern logic, which has wide applicability.
Author : Melvin Fitting
Publisher : Springer Science & Business Media
ISBN 13 : 1461223601
Total Pages : 337 pages
Book Rating : 4.4/5 (612 download)
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 337 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 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.
