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PATCH Graphs: An efficient data structure for completion of finitely presented groups

  • Christopher Lynch
  • Polina Strogova
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1138)

Abstract

Based on a new data structure called PATCH Graph, an efficient completion procedure for finitely presented groups is described. A PATCH Graph represents rules and their symmetrized forms as cycles in a Cayley graph structure. Completion is easily performed directly on the graph, and structure sharing is enforced. The structure of the graph allows us to avoid certain redundant inferences. The PATCH Graph data structure and inference rules complement other extensions of Knuth-Bendix completion for finitely presented groups.

Keywords

Inference Rule Cayley Graph Symmetrize Form Critical Pair Initial Vertex 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1996

Authors and Affiliations

  • Christopher Lynch
    • 1
  • Polina Strogova
    • 2
  1. 1.Technopôle de Nancy-BraboisINRIA Lorraine-CRINVillers-lès-Nancy CedexFrance
  2. 2.Technopôle de Nancy-BraboisINRIA Lorraine-CRIN and INRIA RocquencourtVillers-lès-Nancy CedexFrance

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