Proof Reconstruction In Classical And Non Classical Logics

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Automated Reasoning with Analytic Tableaux and Related Methods

Author : Harrie de Swart
Publisher : Springer
Page : 325 pages
File Size : 40,6 Mb
Release : 2003-06-26
Category : Computers
ISBN : 9783540697787

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Automated Reasoning with Analytic Tableaux and Related Methods by Harrie de Swart Pdf

This book constitutes the refereed proceedings of the 1998 International Conference on Analytic Tableaux and Related Methods, TABLEAUX'98, held in Oisterwijk near Tilburg, The Netherlands, in May 1998. The volume presents 17 revised full papers and three system descriptions selected from 34 submissions; also included are several abstracts of invited lectures, tutorials, and system comparison papers. The book presents new research results for automated deduction in various non-standard logics as well as in classical logic. Areas of application include software verification, systems verification, deductive databases, knowledge representation and its required inference engines, and system diagnosis.

Automated Reasoning with Analytic Tableaux and Related Methods

Author : Roy Dyckhoff
Publisher : Springer
Page : 440 pages
File Size : 45,9 Mb
Release : 2006-12-30
Category : Computers
ISBN : 9783540450085

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Automated Reasoning with Analytic Tableaux and Related Methods by Roy Dyckhoff Pdf

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.

An Introduction to Non-Classical Logic

Author : Graham Priest
Publisher : Cambridge University Press
Page : 268 pages
File Size : 46,8 Mb
Release : 2001-02-22
Category : Mathematics
ISBN : 052179434X

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An Introduction to Non-Classical Logic by Graham Priest Pdf

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.

V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics

Author : Alex Citkin,Ioannis M. Vandoulakis
Publisher : Springer Nature
Page : 319 pages
File Size : 47,8 Mb
Release : 2022-11-08
Category : Mathematics
ISBN : 9783031068430

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V.A. Yankov on Non-Classical Logics, History and Philosophy of Mathematics by Alex Citkin,Ioannis M. Vandoulakis Pdf

This book is dedicated to V.A. Yankov’s seminal contributions to the theory of propositional logics. His papers, published in the 1960s, are highly cited even today. The Yankov characteristic formulas have become a very useful tool in propositional, modal and algebraic logic. The papers contributed to this book provide the new results on different generalizations and applications of characteristic formulas in propositional, modal and algebraic logics. In particular, an exposition of Yankov’s results and their applications in algebraic logic, the theory of admissible rules and refutation systems is included in the book. In addition, the reader can find the studies on splitting and join-splitting in intermediate propositional logics that are based on Yankov-type formulas which are closely related to canonical formulas, and the study of properties of predicate extensions of non-classical propositional logics. The book also contains an exposition of Yankov’s revolutionary approach to constructive proof theory. The editors also include Yankov’s contributions to history and philosophy of mathematics and foundations of mathematics, as well as an examination of his original interpretation of history of Greek philosophy and mathematics.

Automated Reasoning

Author : Rajeev Gore,Alexander Leitsch,Tobias Nipkow
Publisher : Springer Science & Business Media
Page : 721 pages
File Size : 43,8 Mb
Release : 2001-06-06
Category : Computers
ISBN : 9783540422549

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Automated Reasoning by Rajeev Gore,Alexander Leitsch,Tobias Nipkow Pdf

This book constitutes the refereed proceedings of the First International Joint Conference on Automated Reasoning, IJCAR 2001, held in Siena, Italy, in June 2001. The 37 research papers and 19 system descriptions presented together with three invited contributions were carefully reviewed and selected from a total of 112 submissions. The book offers topical sections on description, modal, and temporal logics; saturation based theorem proving, applications, and data structures; logic programming and nonmonotonic reasoning; propositional satisfiability and quantified Boolean logic; logical frameworks, higher-order logic, and interactive theorem proving; equational theorem proving and term rewriting; tableau, sequent, and natural deduction calculi and proof theory; automata, specification, verification, and logics of programs; and nonclassical logics.

Logic Program Synthesis and Transformation

Author : Norbert E. Fuchs
Publisher : Springer
Page : 343 pages
File Size : 45,8 Mb
Release : 2003-05-20
Category : Computers
ISBN : 9783540496748

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Logic Program Synthesis and Transformation by Norbert E. Fuchs Pdf

This volume contains the papers from the Seventh International Workshop on Logic Program Synthesis and Transformation, LOPSTR '97, that took place in Leuven, Belgium, on July 10–12, 1997, 'back to back' with the Fourteenth International Conference on Logic Programming, ICLP '97. Both ICLP and LOPSTR were organised by the K.U. Leuven Department of Computer Science. LOPSTR '97 was sponsored by Compulog Net and by the Flanders Research Network on Declarative Methods in Computer Science. LOPSTR '97 had 39 participants from 13 countries. There were two invited talks by Wolfgang Bibel (Darmstadt) on 'A multi level approach to program synthesis', and by Henning Christiansen (Roskilde) on 'Implicit program synthesis by a reversible metainterpreter'. Extended versions of both talks appear in this volume. There were 19 technical papers accepted for presentation at LOPSTR '97, out of 33 submissions. Of these, 15 appear in extended versions in this volume. Their topics range over the fields of program synthesis, program transformation, program analysis, tabling, metaprogramming, and inductive logic programming.

Intelligent Information Processing and Web Mining

Author : Mieczyslaw A. Klopotek,Slawomir T. Wierzchon,Krzysztof Trojanowski
Publisher : Springer Science & Business Media
Page : 521 pages
File Size : 51,5 Mb
Release : 2007-07-04
Category : Computers
ISBN : 9783540335214

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Intelligent Information Processing and Web Mining by Mieczyslaw A. Klopotek,Slawomir T. Wierzchon,Krzysztof Trojanowski Pdf

This volume contains selected papers, presented at the international conference on Intelligent Information Processing and Web Mining Conference IIS:IIPWM'06, organized in Ustro (Poland), 2006. The submitted papers cover new computing paradigms, among others in biologically motivated methods, advanced data analysis, new machine learning paradigms, natural language processing, new optimization technologies, applied data mining using statistical and non-standard approaches.

Learning Search Control Knowledge for Equational Deduction

Author : S. A. Schulz
Publisher : IOS Press
Page : 204 pages
File Size : 51,9 Mb
Release : 2000
Category : Computers
ISBN : 1586031503

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Learning Search Control Knowledge for Equational Deduction by S. A. Schulz Pdf

This thesis presents an approach to learning good search guiding heuristics for the supposition-based theorom prover E in equational deductions. Search decisions from successful proof searches are represented as sets annotated clause patterns. Term Space Mapping, an alternative learning method for recursive structures is used to learn heuristic evaluation functions for the evaluation of potential new consequences. Experimental results with extended system E/TSM show the success of the approach. Additional contributions of the thesis are an extended superposition calculus and a description of both the proof procedure and the implementation of a state-of-the-art equational theorem prover.

Action Based Collaboration Analysis for Group Learning

Author : Martin Mühlenbrock
Publisher : IOS Press
Page : 212 pages
File Size : 51,6 Mb
Release : 2001
Category : Computers
ISBN : 1586031759

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Action Based Collaboration Analysis for Group Learning by Martin Mühlenbrock Pdf

Shared-workspace systems with structured graphical representations allow for the free user interaction and the joint construction of problem solutions for potentially open-ended tasks. However, group modelling in shared workspaces has to take on a process-orientated perspective due to the reduced system control in shared workspaces. This text is defined as the monitoring of user actions and the abstraction and interpretation of the raw data in the context of the group interaction and the problem representation. Formally based on plan recognition and the situation calculus, an approach has been developed that incorporates an operational hierarchy for generally modelling activities. The system performs an automatic inline analysis of group interactions and the results are visualized in different forms to give feedback and stimulating self-reflection.

Essays on Non-classical Logic

Author : Heinrich Wansing
Publisher : World Scientific
Page : 275 pages
File Size : 43,8 Mb
Release : 2001
Category : Mathematics
ISBN : 9789810247355

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Essays on Non-classical Logic by Heinrich Wansing Pdf

This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic.

Classical and Nonclassical Logics

Author : Eric Schechter
Publisher : Princeton University Press
Page : 517 pages
File Size : 48,9 Mb
Release : 2005-08-28
Category : Mathematics
ISBN : 9780691122793

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Classical and Nonclassical Logics by Eric Schechter Pdf

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).

Mathematical Reviews

Author : Anonim
Publisher : Unknown
Page : 1884 pages
File Size : 46,5 Mb
Release : 2005
Category : Mathematics
ISBN : UVA:X006195258

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Mathematical Reviews by Anonim Pdf