PATCH Graphs: An Efficient Data Structure for Completion of Finitely Presented Groups

نویسندگان

  • Christopher Lynch
  • Polina Strogova
چکیده

Based on a new data structure called PATCH Graph, an eecient completion procedure for nitely 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 nitely presented groups.

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تاریخ انتشار 1996