Congruences Generated by Extended Ground Term Rewrite Systems

  • Authors:
  • Sándor Vágvölgyi

  • Affiliations:
  • Department of Foundations of Computer Science, University of Szeged, Hungary. E-mail: vagvolgy@inf.u-szeged.hu

  • Venue:
  • Fundamenta Informaticae
  • Year:
  • 2009

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Abstract

We show that it is decidable for any extended ground term rewrite system R whether there is a ground term rewrite system S such that the congrunce ↔$^*_R$ generated by R is equal to the congruence ↔$^*_S$ generated by S. If the answer is yes, then we can effectively construct such a ground term rewrite system S. We characterize congruences generated by extended ground term rewrite systems.