Hierarchical combination

  • Authors:
  • Serdar Erbatur;Deepak Kapur;Andrew M. Marshall;Paliath Narendran;Christophe Ringeissen

  • Affiliations:
  • Dipartimento di Informatica, Università degli Studi di Verona, Italy;University of New Mexico;Naval Research Laboratory;University at Albany, SUNY;LORIA --- INRIA Nancy-Grand Est, France

  • Venue:
  • CADE'13 Proceedings of the 24th international conference on Automated Deduction
  • Year:
  • 2013

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Abstract

A novel approach is described for the combination of unification algorithms for two equational theories E1 and E2 which share function symbols. We are able to identify a set of restrictions and a combination method such that if the restrictions are satisfied the method produces a unification algorithm for the union of non-disjoint equational theories. Furthermore, we identify a class of theories satisfying the restrictions. The critical characteristics of the class is the hierarchical organization and the shared symbols being restricted to "inner constructors".