A Many-Sorted Calculus Based on Resolution and Paramodulation
A Many-Sorted Calculus Based on Resolution and Paramodulation

Author: Christoph Walther

Publisher: Morgan Kaufmann

Published: 2014-07-10

Total Pages: 169

ISBN-13: 1483258939

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A Many-Sorted Calculus Based on Resolution and Paramodulation emphasizes the utilization of advantages and concepts of many-sorted logic for resolution and paramodulation based automated theorem proving. This book considers some first-order calculus that defines how theorems from given hypotheses by pure syntactic reasoning are obtained, shifting all the semantic and implicit argumentation to the syntactic and explicit level of formal first-order reasoning. This text discusses the efficiency of many-sorted reasoning, formal preliminaries for the RP- and ?RP-calculus, and many-sorted term rewriting and unification. The completeness and soundness of the ?RP-calculus, sort theorem, and automated theorem prover for the ?RP-calculus are also elaborated. This publication is a good source for students and researchers interested in many-sorted calculus.

Algebraic and Logic Programming
Algebraic and Logic Programming

Author: Jan Grabowski

Publisher: Springer

Published: 2005-07-06

Total Pages: 277

ISBN-13: 3540460632

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This volume contains the proceedings of the First International Workshop on Algebraic and Logic Programming held in Gaussig (German Democratic Republic) from November 14 to 18, 1988. The workshop was devoted to Algebraic Programming, in the sense of programming by algebraic specifications and rewrite rule systems, and Logic Programming, in the sense of Horn clause specifications and resolution systems. This includes combined algebraic/logic programming systems, mutual relations and mutual implementation of programming paradigms, completeness and efficiency considerations in both fields, as well as related topics.

Theory Reasoning in Connection Calculi
Theory Reasoning in Connection Calculi

Author: Peter Baumgartner

Publisher: Springer

Published: 2005-07-11

Total Pages: 290

ISBN-13: 3540492100

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The ability to draw inferences is a central operation in any artificial intelligence system. Automated reasoning is therefore among the traditional disciplines in AI. Theory reasoning is about techniques for combining automated reasoning systems with specialized and efficient modules for handling domain knowledge called background reasoners. Connection methods have proved to be a good choice for implementing high-speed automated reasoning systems. They are the starting point in this monograph,in which several theory reasoning versions are defined and related to each other. A major contribution of the book is a new technique of linear completion allowing for the automatic construction of background reasoners from a wide range of axiomatically given theories. The emphasis is on theoretical investigations, but implementation techniques based on Prolog are also covered.

Commonsense Reasoning
Commonsense Reasoning

Author: Erik T. Mueller

Publisher: Morgan Kaufmann

Published: 2014-11-11

Total Pages: 517

ISBN-13: 0128016477

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To endow computers with common sense is one of the major long-term goals of artificial intelligence research. One approach to this problem is to formalize commonsense reasoning using mathematical logic. Commonsense Reasoning: An Event Calculus Based Approach is a detailed, high-level reference on logic-based commonsense reasoning. It uses the event calculus, a highly powerful and usable tool for commonsense reasoning, which Erik Mueller demonstrates as the most effective tool for the broadest range of applications. He provides an up-to-date work promoting the use of the event calculus for commonsense reasoning, and bringing into one place information scattered across many books and papers. Mueller shares the knowledge gained in using the event calculus and extends the literature with detailed event calculus solutions that span many areas of the commonsense world. The Second Edition features new chapters on commonsense reasoning using unstructured information including the Watson system, commonsense reasoning using answer set programming, and techniques for acquisition of commonsense knowledge including crowdsourcing. - Understand techniques for automated commonsense reasoning - Incorporate commonsense reasoning into software solutions - Acquire a broad understanding of the field of commonsense reasoning - Gain comprehensive knowledge of the human capacity for commonsense reasoning

Automated Deduction, Cade-12.
Automated Deduction, Cade-12.

Author: Alan Bundy

Publisher: Springer Science & Business Media

Published: 1994-06-08

Total Pages: 874

ISBN-13: 9783540581567

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This volume contains the reviewed papers presented at the 12th International Conference on Automated Deduction (CADE-12) held at Nancy, France in June/July 1994. The 67 papers presented were selected from 177 submissions and document many of the most important research results in automated deduction since CADE-11 was held in June 1992. The volume is organized in chapters on heuristics, resolution systems, induction, controlling resolutions, ATP problems, unification, LP applications, special-purpose provers, rewrite rule termination, ATP efficiency, AC unification, higher-order theorem proving, natural systems, problem sets, and system descriptions.

STACS 88
STACS 88

Author: Robert Cori

Publisher: Springer Science & Business Media

Published: 1988-01-27

Total Pages: 420

ISBN-13: 9783540188346

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This volume contains the presentations of the Fifth Symposium on Theoretical Aspects of Computer Science (STACS 88) held at the University of Bordeaux, February 11-13, 1988. In addition to papers presented in the regular program the volume contains abstracts of software systems demonstrations which were included in this conference series in order to show applications of research results in theoretical computer science. The papers are grouped into the following thematic sections: algorithms, complexity, formal languages, rewriting systems and abstract data types, graph grammars, distributed algorithms, geometrical algorithms, trace languages, semantics of parallelism.

Logic for Programming, Artificial Intelligence, and Reasoning
Logic for Programming, Artificial Intelligence, and Reasoning

Author: Nikolaj Bjørner

Publisher: Springer Science & Business Media

Published: 2012-02-24

Total Pages: 456

ISBN-13: 3642287166

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This book constitutes the proceedings of the 18th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR-18, held in Merida, Venezuela, in March 2012. The 25 regular papers and 6 tool descriptions and experimental papers presented were carefully reviewed and selected from 74 submissions. The series of International Conferences on Logic for Programming, Artificial Intelligence and Reasoning (LPAR) is a forum where, year after year, some of the most renowned researchers in the areas of logic, automated reasoning, computational logic, programming languages and their applications come to present cutting-edge results, to discuss advances in these fields, and to exchange ideas in a scientifically emerging part of the world.

Hyperbolic Systems of Conservation Laws
Hyperbolic Systems of Conservation Laws

Author: Philippe G. LeFloch

Publisher: Springer Science & Business Media

Published: 2002-07-01

Total Pages: 1010

ISBN-13: 9783764366872

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This book examines the well-posedness theory for nonlinear hyperbolic systems of conservation laws, recently completed by the author together with his collaborators. It covers the existence, uniqueness, and continuous dependence of classical entropy solutions. It also introduces the reader to the developing theory of nonclassical (undercompressive) entropy solutions. The systems of partial differential equations under consideration arise in many areas of continuum physics.

Sorts and Types in Artificial Intelligence
Sorts and Types in Artificial Intelligence

Author: Ulrich Hedtstück

Publisher: Springer Science & Business Media

Published: 1990-07-12

Total Pages: 318

ISBN-13: 9783540523376

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The aim of this book is to reflect the substantial re- search done in Artificial Intelligence on sorts and types. The main contributions come from knowledge representation and theorem proving and important impulses come from the "application areas", i.e. natural language (understanding) systems, computational linguistics, and logic programming. The workshop brought together researchers from logic, theoretical computer science, theorem proving, knowledge representation, linguistics, logic programming and qualitative reasoning.