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Automated Deduction In Classical And Non Classical Logics
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Book Synopsis Automated Deduction in Classical and Non-Classical Logics by : Ricardo Caferra
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.
Book Synopsis Automated Deduction in Classical and Non-Classical Logics by : Ricardo Caferra
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.
Book Synopsis Automated Theorem-proving in Non-classical Logics by : Paul B. Thistlewaite
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 :Jean Goubault-Larrecq Publisher :Springer Science & Business Media ISBN 13 :9781402003684 Total Pages :448 pages Book Rating :4.0/5 (36 download)
Book Synopsis Proof Theory and Automated Deduction by : Jean Goubault-Larrecq
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
Book Synopsis Logics for Computer Science by : Anita Wasilewska
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.
Book Synopsis Natural Deduction, Hybrid Systems and Modal Logics by : Andrzej Indrzejczak
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.
Book Synopsis Classical and Nonclassical Logics by : Eric Schechter
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).
Book Synopsis Proof Reconstruction in Classical and Non-Classical Logics by : Stephanie Schmitt
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:
Book Synopsis Arnon Avron on Semantics and Proof Theory of Non-Classical Logics by : Ofer Arieli
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.
Book Synopsis Automated Proof Search in Non-classical Logics by : Lincoln A. Wallen
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.
Book Synopsis Goal-Directed Proof Theory by : Dov M. Gabbay
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.
Book Synopsis Compiled Labelled Deductive Systems by : Krysia Broda
Download or read book Compiled Labelled Deductive Systems written by Krysia Broda and published by Institute of Physics Publishing (GB). This book was released on 2004 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a general framework, called Compiled Labelled Deductive System (CLDS), for a unified presentation of logics. It shows how this technique is applied to various families of non-classical logics widely used in Computer Science and Artificial Intelligence. It includes complete natural deduction proof systems, together with proofs and examples, for the families of propositional and predicate modal logics, propositional conditional logics of normality, multiplicative linear logic and for Lukasiewicz fuzzy logic. The CLDS framework generalises the notion of a logical theory to a structured theory consisting of labelled formulas and relations between the labels. This formalisation makes the logics more amenable to applications. Moreover, the framework provides a semantic approach based on a first-order translation, which can be uniformly applied to any logic whose semantics is first-order axiomatisable. Such a semantic approach also facilitates the development of automated theorem provers for non-classical logics.
Book Synopsis Non-standard Logics for Automated Reasoning by : Philippe Smets
Download or read book Non-standard Logics for Automated Reasoning written by Philippe Smets and published by . This book was released on 1988 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although there are a few books available that give brief surveys of a variety of nonstandard logics, there is a growing need for a critical presentation providing both a greater depth and breadth of insight into these logics. This book assembles a wider and deeper view of the many potentially applicable logics. Three appendixes provide short tutorials on classical logic and modal logics, and give a brief introduction to the existing literature on the logical aspects of probability theory. These tutorials and the bibliography included in the appendixes provide useful reference material for the reader.
Book Synopsis Handbook of Automated Reasoning by : Alan J.A. Robinson
Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Elsevier. This book was released on 2001-06-21 with total page 1198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning.
Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Didier Galmiche
Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Didier Galmiche and published by Springer. This book was released on 2013-09-11 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 22th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2013, held in Nancy, France, in September 2013. The 20 revised research papers presented together with 4 system descriptions were carefully reviewed and selected from 38 submissions. The papers cover many topics as proof-theory in classical and non-classical logics, analytic tableaux for various logics, related techniques and concepts, e.g., model checking and BDDs, related methods (model elimination, sequent calculi, resolution, and connection method), new calculi and methods for theorem proving and verification in classical and non-classical logics, systems, tools, implementations and applications as well as automated deduction and formal methods applied to logic, mathematics, software development, protocol verification, and security.
Book Synopsis Ewa Orłowska on Relational Methods in Logic and Computer Science by : Joanna Golińska-Pilarek
Download or read book Ewa Orłowska on Relational Methods in Logic and Computer Science written by Joanna Golińska-Pilarek and published by Springer. This book was released on 2018-12-08 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a tribute to Professor Ewa Orłowska, a Polish logician who was celebrating the 60th year of her scientific career in 2017. It offers a collection of contributed papers by different authors and covers the most important areas of her research. Prof. Orłowska made significant contributions to many fields of logic, such as proof theory, algebraic methods in logic and knowledge representation, and her work has been published in 3 monographs and over 100 articles in internationally acclaimed journals and conference proceedings. The book also includes Prof. Orłowska’s autobiography, bibliography and a trialogue between her and the editors of the volume, as well as contributors' biographical notes, and is suitable for scholars and students of logic who are interested in understanding more about Prof. Orłowska’s work.
Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Roy Dyckhoff
Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Roy Dyckhoff and published by Springer. This book was released on 2006-12-30 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2000, held in St Andrews, Scotland, UK, in July 2000.The 23 revised full papers and 2 system descriptions presented were carefully reviewed and selected from 42 submissions. Also included are 3 invited lectures and 6 nonclassical system comparisons. All current issues surrounding the mechanization of reasoning with tableaux and similar methods are addressed - ranging from theoretical foundations to implementation, systems development, and applications, as well as covering a broad variety of logical calculi.
