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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 : Lincoln A. Wallen
Publisher : MIT Press (MA)
ISBN 13 : 9780262231442
Total Pages : 239 pages
Book Rating : 4.2/5 (314 download)
Download or read book Automated Proof Search in Non-classical Logics written by Lincoln A. Wallen and published by MIT Press (MA). This book was released on 1990 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops and demonstrates efficient matrix proof methods for automated deduction within an important and comprehensive class of first order and intuitionistic logics. Traditional techniques for the design of efficient proof systems are abstracted from their original setting which allows their application to a wider class of mathematical logic. The logics discussed are used throughout computer science and artificial intelligence. Contents: Introduction I. Automated Deduction in Classical Logic. Proof search in classical sequent calculi. A matrix characterization of classical validity. II. Automated Proof Deduction in Modal Logics. The semantics and proof theory of modal logics. Proof search in modal sequent calculi. Matrix characterizations of modal validity. Alternative proof methods for modal logics. Matrix based proof search. III. Automated Deduction in Intuitionistic Logic. A Matrix proof method. Conclusions. Lincoln A. Wallen is a B.P. Venture Research Fellow at the University of Texas at Austin Automated Deduction in Nonclassical Logics is included in the Artificial Intelligence series, edited by Patrick Winston Michael Brady, and Daniel Bobrow.
Author : L. A. Wallen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (86 download)
Download or read book Automated proof search in non-classical logics written by L. A. Wallen and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stephanie Schmitt
Publisher : IOS Press
ISBN 13 : 9781586031299
Total Pages : 236 pages
Book Rating : 4.0/5 (312 download)
Download or read book Proof Reconstruction in Classical and Non-Classical Logics written by Stephanie Schmitt and published by IOS Press. This book was released on 2000 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Lincoln Anthony Wallen
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (597 download)
Download or read book Automated Proof Search in Non-classical Logics written by Lincoln Anthony Wallen and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 : 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 : 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 : 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 : 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 : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9780792364733
Total Pages : 282 pages
Book Rating : 4.3/5 (647 download)
Download or read book Goal-Directed Proof Theory written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2000-08-31 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective. Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.
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 : 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 : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 9401717133
Total Pages : 273 pages
Book Rating : 4.4/5 (17 download)
Download or read book Goal-Directed Proof Theory written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Goal Directed Proof Theory presents a uniform and coherent methodology for automated deduction in non-classical logics, the relevance of which to computer science is now widely acknowledged. The methodology is based on goal-directed provability. It is a generalization of the logic programming style of deduction, and it is particularly favourable for proof search. The methodology is applied for the first time in a uniform way to a wide range of non-classical systems, covering intuitionistic, intermediate, modal and substructural logics. The book can also be used as an introduction to these logical systems form a procedural perspective. Readership: Computer scientists, mathematicians and philosophers, and anyone interested in the automation of reasoning based on non-classical logics. The book is suitable for self study, its only prerequisite being some elementary knowledge of logic and proof theory.
Author : Jacob M. Howe
Publisher :
ISBN 13 :
Total Pages : 216 pages
Book Rating : 4.:/5 (23 download)
Download or read book Proof Search Issues in Some Non-classical Logics written by Jacob M. Howe and published by . This book was released on 1999 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luca Viganò
Publisher : Springer Science & Business Media
ISBN 13 : 1475732082
Total Pages : 295 pages
Book Rating : 4.4/5 (757 download)
Download or read book Labelled Non-Classical Logics written by Luca Viganò and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.
Author : David J. Pym
Publisher : Oxford University Press
ISBN 13 : 0198526334
Total Pages : 227 pages
Book Rating : 4.1/5 (985 download)
Download or read book Reductive Logic and Proof-search written by David J. Pym and published by Oxford University Press. This book was released on 2004-04-29 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a specialized monograph on the development of the mathematical and computational metatheory of reductive logic and proof-search, areas of logic that are becoming important in computer science. A systematic foundational text on these emerging topics, it includes proof-theoretic, semantic/model-theoretic and algorithmic aspects. The scope ranges from the conceptual background to reductive logic, through its mathematical metatheory, to its modern applications in the computational sciences. Suitable for researchers and graduate students in mathematical, computational and philosophical logic, and in theoretical computer science and artificial intelligence, this is the latest in the prestigous world-renowned Oxford Logic Guides, which contains Michael Dummet's Elements of intuitionism (2nd Edition), Dov M. Gabbay, Mark A. Reynolds, and Marcelo Finger's Temporal Logic Mathematical Foundations and Computational Aspects , J. M. Dunn and G. Hardegree's Algebraic Methods in Philosophical Logic, H. Rott's Change, Choice and Inference: A Study of Belief Revision and Nonmonotonic Reasoning , and P. T. Johnstone's Sketches of an Elephant: A Topos Theory Compendium: Volumes 1 and 2 .
