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Symbolic Rewriting Techniques

By: Manuel Bronstein (Editor), Johannes Grabmeier (Editor), Volker Weispfenning (Editor)

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Hardcover | 1 December 1997

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Hardcover
300 Pages

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24.77 x 16.51 x 1.91

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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.

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"14 contributions can be found within 288 pages, each of them with an extended reference list... Of high value to people who have some experience in this subject matter." --The DERIVE Newsletter

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You Can Find This Book In

Non-Fiction Mathematics Mathematical Foundation Mathematical Logic Discrete Mathematics Computing & I.T.Computer Science Mathematical Theory of Computation Algebra Computer Programming & Software Development Groups & Group Theory

Introduction
Parallel Completion Techniques	p. 1
The Computation of Grobner Bases Using an Alternative Algorithm	p. 35
Symmetrization Based Completion	p. 47
On the Reduction of G-invariant Polynomials for an Arbitrary Permutation Groups G	p. 71
The Non-Commutaive Grobner Freaks	p. 93
Alternatives in Implementing Noncommutative Grobner Basis Systems	p. 105
String Rewriting and Grobner Bases - A General Approach to Monoid and Group Rings	p. 127
Grobner Fans and Projective Schemes	p. 183
Normalized Rewriting: A Unified View of Knuth-Bendix Completion and Grobner Bases Computation	p. 195
New Directions for Syntactic Termination Orderings	p. 211
Two-sided Grobner Bases in Iterated Ore Extensions	p. 227
Computing the Torsion Group of Elliptic Curves by the Method of Grobner Bases	p. 247
Finding a Finite Group presentation Using Rewriting	p. 269
Deciding Degree-Four-Identities for Alternative Rings by Rewriting	p. 279
Table of Contents provided by Blackwell. All Rights Reserved.

Symbolic Rewriting Techniques

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