Verification of the Completeness of Unification Algorithms à la Robinson

  • Andréia B. Avelar
  • Flávio L. C. de Moura
  • André Luiz Galdino
  • Mauricio Ayala-Rincón
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6188)

Abstract

This work presents a general methodology for verification of the completeness of first-order unification algorithms à la Robinson developed in the higher-order proof assistant PVS. The methodology is based on a previously developed formalization of the theorem of existence of most general unifiers for unifiable terms over first-order signatures. Termination and soundness proofs of any unification algorithm are proved by reusing the formalization of this theorem and completeness should be proved according to the specific way in that non unifiable inputs are treated by the algorithm.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Andréia B. Avelar
    • 1
  • Flávio L. C. de Moura
    • 2
  • André Luiz Galdino
    • 3
  • Mauricio Ayala-Rincón
    • 1
    • 2
  1. 1.Departamentos de MatemáticaUniversidade de BrasíliaBrasíliaBrazil
  2. 2.Ciência da ComputaçãoUniversidade de BrasíliaBrasíliaBrazil
  3. 3.Departamento de MatemáticaUniversidade Federal de GoiásCatalãoBrazil

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