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Symbolic Rewriting Techniques

Symbolic Rewriting Techniques

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Parallel Completion Techniques.- The Computation of Gröbner Bases Using an Alternative Algorithm.- Symmetrization Based Completion.- On the Reduction of G-invariant Polynomials for an Arbitrary Permutation Groups G.- The Non-Commutaive Gröbner Freaks.- Alternatives in Implementing Noncommutative Gröbner Basis Systems.- String Rewriting and Gröbner Bases - A General Approach to Monoid and Group Rings.- Gröbner Fans and Projective Schemes.- Normalized Rewriting: A Unified View of Knuth-Bendix Completion and Gröbner Bases Computation.- New Directions for Syntactic Termination Orderings.- Two-sided Gröbner Bases in Iterated Ore Extensions.- Computing the Torsion Group of Elliptic Curves by the Method of Gröbner Bases.- Finding a Finite Group presentation Using Rewriting.- Deciding Degree-Four-Identities for Alternative Rings by Rewriting.
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.

Mehr zum Thema

    computer algebra; Algebra; commutatitve algebra; equation; Group Theory; ring theory


Autor: Manuel Bronstein
ISBN-13: 9783034897792
ISBN: 3034897790
Einband: Book
Seiten: 300
Gewicht: 519 g
Format: 244x170x16 mm
Sprache: Englisch
Editiert von: Manuel Bronstein, Johannes Grabmeier, Volker Weispfenning
Prof. Dr. Johannes Grabmeier, Dipl.-Mathematiker, ist Professor für Wirtschaftsinformatik und Informatik an der Fachhochschule Deggendorf. Er lehrt Mathematik, Statistik, Operations Research, Objektorientierte Programmiertechniken, CRM und Data Mining.

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Autor: Manuel Bronstein
ISBN-13:: 9783034897792
ISBN: 3034897790
Erscheinungsjahr: 23.10.2012
Verlag: Birkhäuser Basel
Gewicht: 519g
Seiten: 300
Sprache: Englisch
Auflage Softcover reprint of the original 1st ed. 1998.
Sonstiges: Taschenbuch, 244x170x16 mm