A Many Sorted Calculus Based On Resolution And Paramodulation

Author : Christoph Walther
Publisher : Morgan Kaufmann
ISBN 13 : 1483258939
Total Pages : 169 pages
Book Rating : 4.35/5 ( download)

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Download or read book A Many-Sorted Calculus Based on Resolution and Paramodulation written by Christoph Walther and published by Morgan Kaufmann. This book was released on 2014-07-10 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Hans-Jürgen Bürckert
Publisher : Springer Science & Business Media
ISBN 13 : 9783540550341
Total Pages : 132 pages
Book Rating : 4.48/5 ( download)

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Download or read book A Resolution Principle for a Logic with Restricted Quantifiers written by Hans-Jürgen Bürckert and published by Springer Science & Business Media. This book was released on 1991-12-11 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents foundations for a constrained logic scheme treating constraints as a very general form of restricted quantifiers. The constraints - or quantifier restrictions - are taken from a general constraint system consisting of constraint theory and a set of distinguished constraints. The book provides a calculus for this constrained logic based on a generalization of Robinson's resolution principle. Technically, the unification procedure of the resolution rule is replaced by suitable constraint-solving methods. The calculus is proven sound and complete for the refutation of sets of constrained clauses. Using a new and elegant generalization of the notion ofa ground instance, the proof technique is a straightforward adaptation of the classical proof technique. The author demonstrates that the constrained logic scheme can be instantiated by well-known sorted logics or equational theories and also by extensions of predicate logics with general equational constraints or concept description languages.

Author : Egon Börger
Publisher : Springer Science & Business Media
ISBN 13 : 9783540527534
Total Pages : 452 pages
Book Rating : 4.32/5 ( download)

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Download or read book CSL '89 written by Egon Börger and published by Springer Science & Business Media. This book was released on 1990-07-10 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the revised versions of 28 papers presented at the third workshop on Computer Science Logic held in Kaiserslautern, FRG, October 2-6, 1989. These proceedings cover a wide range of topics both from theoretical and applied areas of computer science. More specifically, the papers deal with problems arising at the border of logic and computer science, e.g. in complexity, data base theory, logic programming, artificial intelligece, and temporal logic. The volume should be of interest to all logicians and computer scientists working in the above field.

Author : Hassan Aït-Kaci
Publisher : Academic Press
ISBN 13 : 1483259676
Total Pages : 400 pages
Book Rating : 4.73/5 ( download)

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Download or read book Rewriting Techniques written by Hassan Aït-Kaci and published by Academic Press. This book was released on 2014-05-10 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Resolution of Equations in Algebraic Structures: Volume 2, Rewriting Techniques is a collection of papers dealing with the construction of canonical rewrite systems, constraint handling in logic programming, and completion algorithms for conditional rewriting systems. Papers discuss the Knuth-Bendix completion method which constructs a complete system for a given set of equations, including extensions of the method dealing with termination, unfailing completion, and associative-communicative completion. One paper examines the various practical techniques that can be used to extend Prolog as a constraint solver, particularly on techniques that solve boolean equations, imposing inequality, disequality, and finitary domain constraints on variables. Another paper presents a sufficient condition for confluence of conditional rewriting, and a practical unification algorithm modulo conditional rewriting through the notion of conditional narrowing. One paper analyzes the possibility of using completion for inductive proofs in the initial algebra of an equational variety without explicit induction. Another papers discusses solving systems of word equations in the free monoid and the free group, where a solution is defined as a word homomorphism. Programmers, mathematicians, students, and instructors involved in computer science and computer logic will find this collection valuable.

Author : Ulrich Hedtstück
Publisher : Springer Science & Business Media
ISBN 13 : 9783540523376
Total Pages : 318 pages
Book Rating : 4.75/5 ( download)

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Download or read book Sorts and Types in Artificial Intelligence written by Ulrich Hedtstück and published by Springer Science & Business Media. This book was released on 1990-07-12 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Jan Grabowski
Publisher : Springer
ISBN 13 : 3540460632
Total Pages : 277 pages
Book Rating : 4.33/5 ( download)

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Download or read book Algebraic and Logic Programming written by Jan Grabowski and published by Springer. This book was released on 2005-07-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Ewing Lusk
Publisher : Springer Science & Business Media
ISBN 13 : 9783540193432
Total Pages : 778 pages
Book Rating : 4.3X/5 ( download)

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Download or read book 9th International Conference on Automated Deduction written by Ewing Lusk and published by Springer Science & Business Media. This book was released on 1988-05-04 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the papers presented at the Ninth International Conference on Automated Deduction (CADE-9) held May 23-26 at Argonne National Laboratory, Argonne, Illinois. The conference commemorates the twenty-fifth anniversary of the discovery of the resolution principle, which took place during the summer of 1963. The CADE conferences are a forum for reporting on research on all aspects of automated deduction, including theorem proving, logic programming, unification, deductive databases, term rewriting, ATP for non-standard logics, and program verification. All papers submitted to the conference were refereed by at least two referees, and the program committee accepted the 52 that appear here. Also included in this volume are abstracts of 21 implementations of automated deduction systems.

Author : Peter Baumgartner
Publisher : Springer
ISBN 13 : 3540492100
Total Pages : 290 pages
Book Rating : 4.08/5 ( download)

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Download or read book Theory Reasoning in Connection Calculi written by Peter Baumgartner and published by Springer. This book was released on 2005-07-11 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Erik T. Mueller
Publisher : Morgan Kaufmann
ISBN 13 : 0128016477
Total Pages : 517 pages
Book Rating : 4.73/5 ( download)

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Download or read book Commonsense Reasoning written by Erik T. Mueller and published by Morgan Kaufmann. This book was released on 2014-11-11 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Alan J.A. Robinson
Publisher : Elsevier
ISBN 13 : 0080532799
Total Pages : 2128 pages
Book Rating : 4.90/5 ( download)

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Download or read book Handbook of Automated Reasoning written by Alan J.A. Robinson and published by Elsevier. This book was released on 2001-06-22 with total page 2128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Automated Reasoning