classical and nonclassical logics

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An Introduction To Non Classical Logic

Author : Graham Priest
ISBN : 052179434X
Genre : Mathematics
File Size : 28. 56 MB
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This book is an introduction to non-classical propositional logics. It brings together for the first time in a textbook a range of topics in logic, many of them of relatively recent origin, including modal, conditional, intuitionist, many-valued, paraconsistent, relevant and fuzzy logics. The material is unified by the underlying theme of world-semantics. All of the topics are explained clearly and accessibly, using devices such as tableaux proofs, and their relation to current philosophical issues and debates is discussed. Students with a basic understanding of classical logic will find this an invaluable introduction to an area that has become of central importance in both logic and philosophy, but which, until now, could be studied only through the research literature. It will interest those studying logic, those who need to know about non-classical logics because of their philosophical importance, and, more widely, readers working in mathematics and computer science.

Classical And Nonclassical Logics

Author : Eric Schechter
ISBN : 0691122792
Genre : Mathematics
File Size : 79. 36 MB
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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).

Journal Of Applied Non Classical Logics

Author :
ISBN : UOM:39015081659248
Genre : Logic
File Size : 30. 27 MB
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Automated Deduction In Classical And Non Classical Logics

Author : Ricardo Caferra
ISBN : 9783540465089
Genre : Computers
File Size : 31. 34 MB
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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.

Automated Theorem Proving In Non Classical Logics

Author : Paul B. Thistlewaite
ISBN : UOM:39015053594712
Genre : Automatic theorem proving
File Size : 76. 78 MB
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Logics For Computer Science

Author : Anita Wasilewska
ISBN : 9783319925912
Genre : Artificial intelligence
File Size : 59. 73 MB
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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. 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. Includes links to the author's companion lecture slides for each chapter: several hundred presentations which summarize the ideas presented in the chapters for ease of comprehension.

Proof Reconstruction In Classical And Non Classical Logics

Author : Stephanie Schmitt
ISBN : 1586031295
Genre : Computers
File Size : 56. 10 MB
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Labelled Non Classical Logics

Author : Luca Viganò
ISBN : 9781475732085
Genre : Philosophy
File Size : 56. 31 MB
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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.

An Algebraic Approach To Non Classical Logics

Author : Helena Rasiowa
ISBN : UCAL:B4502366
Genre : Algebraic logic
File Size : 30. 15 MB
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Preliminary set-theoretical, topological and algebraic notions. Topological spaces. Ordered sets and quasi-ordered sets. Implicative algebras. definition and elementary properties. Positive implication algebras. Implicative filters in positive implication algebras. Distributive lattices and quasi-boolean algebras. Distributive lattices. Quasi-boolean algebras. Relatively pseudo-complemented lattices, contrapositionally complemented lattices, semi-complemented laticies and pseudo-boolean algebras. Quasi-pseudo-boolean algebras. Boolean algebras and topological boolean algebras. Post algebras. Implicative extensional propositional calculi. Positive implicative logic and classical implicative logic.

Belief Revision In Non Classical Logics

Author : Márcio Moretto Ribeiro
ISBN : 9781447141860
Genre : Computers
File Size : 79. 18 MB
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Since the advent of the Semantic Web, interest in the dynamics of ontologies (ontology evolution) has grown significantly. Belief revision presents a good theoretical framework for dealing with this problem; however, classical belief revision is not well suited for logics such as Description Logics. Belief Revision in Non-Classical Logics presents a framework which can be applied to a wide class of logics that include – besides most Description Logics such as the ones behind OWL – Horn Logic and Intuitionistic logic, amongst others. The author also presents algorithms for the most important constructions in belief bases. Researchers and practitioners in theoretical computing will find this an invaluable resource.

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