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Conditional and Typed Rewriting Systems

Conditional and Typed Rewriting Systems PDF Author: Stephane Kaplan
Publisher: Springer Science & Business Media
ISBN: 9783540543176
Category : Computers
Languages : en
Pages : 500

Book Description
In recent years, extensions of rewriting techniques that go beyond the traditional untyped algebraic rewriting framework have been investigated and developed. Among these extensions, conditional and typed systems are particularly important, as are higher-order systems, graph rewriting systems, etc. The international CTRS (Conditional and Typed Rewriting Systems) workshops are intended to offer a forum for researchers on such extensions of rewriting techniques. This volume presents the proceedings of the second CTRS workshop, which contributed to discussion and evaluation of new directions of research. (The proceedings of the first CTRS workshop are in Lecture Notes in Computer Science, Vol. 308.) Several important directions for extensions of rewriting techniques were stressed, which are reflected in the organization of the chapters in this volume: - Theory of conditional and Horn clause systems, - Infinite terms, non-terminating systems, and termination, - Extension of Knuth-Bendix completion, - Combined systems, combined languages and modularity, - Architecture, compilers and parallel computation, - Basic frameworks for typed and order-sorted systems, - Extension of unification and narrowing techniques.

Conditional and Typed Rewriting Systems

Conditional and Typed Rewriting Systems PDF Author: Stephane Kaplan
Publisher: Springer Science & Business Media
ISBN: 9783540543176
Category : Computers
Languages : en
Pages : 500

Book Description
In recent years, extensions of rewriting techniques that go beyond the traditional untyped algebraic rewriting framework have been investigated and developed. Among these extensions, conditional and typed systems are particularly important, as are higher-order systems, graph rewriting systems, etc. The international CTRS (Conditional and Typed Rewriting Systems) workshops are intended to offer a forum for researchers on such extensions of rewriting techniques. This volume presents the proceedings of the second CTRS workshop, which contributed to discussion and evaluation of new directions of research. (The proceedings of the first CTRS workshop are in Lecture Notes in Computer Science, Vol. 308.) Several important directions for extensions of rewriting techniques were stressed, which are reflected in the organization of the chapters in this volume: - Theory of conditional and Horn clause systems, - Infinite terms, non-terminating systems, and termination, - Extension of Knuth-Bendix completion, - Combined systems, combined languages and modularity, - Architecture, compilers and parallel computation, - Basic frameworks for typed and order-sorted systems, - Extension of unification and narrowing techniques.

Models, Algebras, and Proofs

Models, Algebras, and Proofs PDF Author: Xavier Caicedo
Publisher: CRC Press
ISBN: 1000657302
Category : Mathematics
Languages : en
Pages : 471

Book Description
Contains a balanced account of recent advances in set theory, model theory, algebraic logic, and proof theory, originally presented at the Tenth Latin American Symposium on Mathematical Logic held in Bogata, Columbia. Traces new interactions among logic, mathematics, and computer science. Features original research from over 30 well-known experts.

Conditional Term Rewriting Systems

Conditional Term Rewriting Systems PDF Author: Michael Rusinowitch
Publisher: Springer Science & Business Media
ISBN: 9783540563938
Category : Computers
Languages : en
Pages : 520

Book Description
This volume contains the papers preesented at the Third International Workshop on Conditional Term Rewriting Systems, held in Pont- -Mousson, France, July 8-10, 1992. Topics covered include conditional rewriting and its applications to programming languages, specification languages, automated deduction, constrained rewriting, typed rewriting, higher-order rewriting, and graph rewriting. The volume contains 40 papers, including four invited talks: Algebraic semantics of rewriting terms and types, by K. Meinke; Generic induction proofs, by P. Padawitz; Conditional term rewriting and first-order theorem proving, by D. Plaisted; and Decidability of finiteness properties (abstract), by L. Pacholski. The first CTRS workshop was held at the University of Paris in 1987 and the second at Concordia University, Montreal, in 1990. Their proceddings are published as Lecture Notes in Computer Science Volumes 308 and 516 respectively.

Mechanizing Mathematical Reasoning

Mechanizing Mathematical Reasoning PDF Author: Dieter Hutter
Publisher: Springer
ISBN: 354032254X
Category : Computers
Languages : en
Pages : 573

Book Description
By presenting state-of-the-art results in logical reasoning and formal methods in the context of artificial intelligence and AI applications, this book commemorates the 60th birthday of Jörg H. Siekmann. The 30 revised reviewed papers are written by former and current students and colleagues of Jörg Siekmann; also included is an appraisal of the scientific career of Jörg Siekmann entitled "A Portrait of a Scientist: Logics, AI, and Politics." The papers are organized in four parts on logic and deduction, applications of logic, formal methods and security, and agents and planning.

Proofs and Computations in Conditional Equational Theories

Proofs and Computations in Conditional Equational Theories PDF Author: G. Sivakumar
Publisher:
ISBN:
Category : Equations
Languages : en
Pages : 88

Book Description


Foundations of Software Technology and Theoretical Computer Science

Foundations of Software Technology and Theoretical Computer Science PDF Author: Vijay Chandru
Publisher: Springer Science & Business Media
ISBN: 9783540620341
Category : Computers
Languages : en
Pages : 408

Book Description
This book constitutes the refereed proceedings of the 16th International Conference on Foundations of Software Technology and Theoretical Computer Science, FST&TCS '96, held in Hyderabad, India, in December 1996. The volume presents 28 revised full papers selected from a total of 98 submissions; also included are four invited contributions. The papers are organized in topical sections on computational geometry, process algebras, program semantics, algorithms, rewriting and equational-temporal logics, complexity theory, and type theory.

Automated Deduction, Cade-12.

Automated Deduction, Cade-12. PDF Author: Alan Bundy
Publisher: Springer Science & Business Media
ISBN: 9783540581567
Category : Computers
Languages : en
Pages : 874

Book Description
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.

Canonical Equational Proofs

Canonical Equational Proofs PDF Author: Bachmair
Publisher: Springer Science & Business Media
ISBN: 146847118X
Category : Mathematics
Languages : en
Pages : 142

Book Description
Equations occur in many computer applications, such as symbolic compu tation, functional programming, abstract data type specifications, program verification, program synthesis, and automated theorem proving. Rewrite systems are directed equations used to compute by replacing subterms in a given formula by equal terms until a simplest form possible, called a normal form, is obtained. The theory of rewriting is concerned with the compu tation of normal forms. We shall study the use of rewrite techniques for reasoning about equations. Reasoning about equations may, for instance, involve deciding whether an equation is a logical consequence of a given set of equational axioms. Convergent rewrite systems are those for which the rewriting process de fines unique normal forms. They can be thought of as non-deterministic functional programs and provide reasonably efficient decision procedures for the underlying equational theories. The Knuth-Bendix completion method provides a means of testing for convergence and can often be used to con struct convergent rewrite systems from non-convergent ones. We develop a proof-theoretic framework for studying completion and related rewrite based proof procedures. We shall view theorem provers as proof transformation procedures, so as to express their essential properties as proof normalization theorems.

Computational Logic and Proof Theory

Computational Logic and Proof Theory PDF Author: Georg Gottlob
Publisher: Springer Science & Business Media
ISBN: 9783540633853
Category : Computers
Languages : en
Pages : 364

Book Description
This book constitutes the refereed proceedings of the 5th Kurt Gödel Colloquium on Computational Logic and Proof Theory, KGC '97, held in Vienna, Austria, in August 1997. The volume presents 20 revised full papers selected from 38 submitted papers. Also included are seven invited contributions by leading experts in the area. The book documents interdisciplinary work done in the area of computer science and mathematical logics by combining research on provability, analysis of proofs, proof search, and complexity.

Algebraic and Logic Programming

Algebraic and Logic Programming PDF Author: Giorgio Levi
Publisher: Springer Science & Business Media
ISBN: 9783540584315
Category : Computers
Languages : en
Pages : 324

Book Description
This volume constitutes the proceedings of the Fourth International Conference on Algebraic and Logic Programming (ALP '94), held in Madrid, Spain in September 1994. Like the predecessor conferences in this series, ALP '94 succeeded in strengthening the cross-fertilization between algebraic techniques and logic programming. Besides abstracts of three invited talks, the volume contains 17 full revised papers selected from 41 submissions; the papers are organized into sections on theorem proving, narrowing, logic programming, term rewriting, and higher-order programming.