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Author: Hassan Aït-Kaci
Publisher: Academic Press
ISBN: 1483259676
Category : Mathematics
Languages : en
Pages : 400
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Book Description
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: Hassan Aït-Kaci
Publisher: Academic Press
ISBN: 1483259676
Category : Mathematics
Languages : en
Pages : 400
Get Book
Book Description
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: Leo Bachmair
Publisher: Springer
ISBN: 3540449809
Category : Computers
Languages : en
Pages : 284
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Book Description
This book constitutes the refereed proceedings of the 11th International Conference on Rewriting Techniques and Applications, RTA 2000, held in Norwich, UK, in July 2000. The 15 revised full papers and three system descriptions presented together with two invited contributions were carefully reviewed and selected from 44 submissions. All current aspects of rewriting are addressed.
Author: Tobias Nipkow
Publisher: Springer
ISBN: 3540697217
Category : Computers
Languages : en
Pages : 355
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Book Description
This book constitutes the refereed proceedings of the 9th International Conference on Rewriting Techniques and Applications, RTA-98, held in Tsukuba, Japan, in March/April 1998. The 22 revised full papers presented were carefully selected from a total of 61 submissions by the program committee with the assistance of 113 additional referees. The book covers all current aspects of rewriting including rewriting systems, term rewriting, string rewriting, theorem proving, resolution, normalization, unification, equational logics, lambda calculus, constraint solving, and functional programming.
Author: Vincent van Oostrom
Publisher: Springer Science & Business Media
ISBN: 3540221530
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This book constitutes the refereed proceedings of the 15th International Conference on Rewriting Techniques and Applications, RTA 2004, held in Aachen, Germany in June 2004.
Author: Aart Middeldorp
Publisher: Springer
ISBN: 3540451277
Category : Computers
Languages : en
Pages : 373
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Book Description
This book constitutes the refereed proceedings of the 12th International Conference on Rewriting Techniques and Applications, RTA 2001, held in Utrecht, The Netherlands, in May 2001. The 23 revised full papers presented together with two system descriptions were carefully reviewed and selected from 55 submissions. All current aspects of rewriting are addressed.
Author: Ralf Treinen
Publisher: Springer
ISBN: 3642023487
Category : Mathematics
Languages : en
Pages : 401
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Book Description
This book constitutes the refereed proceedings of the 20th International Conference on Rewriting Techniques and Applications, RTA 2009, held in Brasília, Brazil, during June 29 - July 1, 2009. The 22 revised full papers and four system descriptions presented were carefully reviewed and selected from 59 initial submissions. The papers cover current research on all aspects of rewriting including typical areas of interest such as applications, foundational issues, frameworks, implementations, and semantics.
Author: Manuel Bronstein
Publisher: Birkhäuser
ISBN: 3034888007
Category : Computers
Languages : en
Pages : 291
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Book Description
Symbolic rewriting techniques are methods for deriving consequences from systems of equations, and are of great use when investigating the structure of the solutions. Such techniques appear in many important areas of research within computer algebra: • the Knuth-Bendix completion for groups, monoids and general term-rewriting systems, • the Buchberger algorithm for Gröbner bases, • the Ritt-Wu characteristic set method for ordinary differential equations, and • the Riquier-Janet method for partial differential equations. This volume contains invited and contributed papers to the Symbolic Rewriting Techniques workshop, which was held at the Centro Stefano Franscini in Ascona, Switzerland, from April 30 to May 4, 1995. That workshop brought together 40 researchers from various areas of rewriting techniques, the main goal being the investigation of common threads and methods. Following the workshops, each contribution was formally refereed and 14 papers were selected for publication.
Author: Ronald V. Book
Publisher: Springer Science & Business Media
ISBN: 9783540539049
Category : Computers
Languages : en
Pages : 900
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Book Description
This volume contains the proceedings of the Fourth International Conference on Rewriting Techniques and Applications (RTA-91), held in Como, Italy, April 10-12, 1991. The volume includes 40 papers on a wide variety of topics including: term rewriting systems, equational unification, algebraic rewriting, termination proofs, generalization problems, undecidable properties, parametrized specifications, normalizing systems, program transformation, query optimization, tree languages, graph languages, theorem proving systems, completion, graph rewriting systems, and open problems.
Author: Robert Nieuwenhuis
Publisher: Springer
ISBN: 3540448810
Category : Computers
Languages : en
Pages : 527
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Book Description
The refereed proceedings of the 14th International Conference on Rewriting Techniques and Applications, RTA 2003, held in Valencia, Spain in June 2003. The 26 revised regular papers and 6 system descriptions presented together with 3 invited contributions were carefully reviewed and selected from 61 submissions. All current aspects of rewriting are addressed.
Author: Paliath Narendran
Publisher: Springer
ISBN: 3540486852
Category : Computers
Languages : en
Pages : 408
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Book Description
This book constitutes the refereed proceedings of the 10th International Conference on Rewriting Techniques and Applications, RTA-99, held in Trento, Italy in July 1999 as part of FLoC'99. The 23 revised full papers presented were carefully selected from a total of 53 submissions. Also included are four system descriptions as well as three invited contributions. Among the topics covered are constraint solving, termination, deduction and higher order rewriting, graphs, complexity, tree automata, context-sensitive rewriting, string rewriting and numeration systems, etc.
