Normal forms for binary relations

  • Authors:
  • Daniel J. Dougherty;Claudio Gutiérrez

  • Affiliations:
  • Department of Computer Science, Worcester Polytechnic Institute;Department of Computer Science, Universidad de Chile, Chile

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2006

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Abstract

We consider the representable equational theory of binary relations, in a language expressing composition, converse, and lattice operations. By working directly with a presentation of relation expressions as graphs we are able to define a notion of reduction which is confluent and strongly normalizing and induces a notion of computable normal form for terms. This notion of reduction thus leads to a computational interpretation of the representable theory.