Homeomorphic Embedding Modulo Combinations of Associativity and Commutativity Axioms

  • María Alpuente
  • Angel Cuenca-Ortega
  • Santiago EscobarEmail author
  • José Meseguer
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 11408)


The Homeomorphic Embedding relation has been amply used for defining termination criteria of symbolic methods for program analysis, transformation, and verification. However, homeomorphic embedding has never been investigated in the context of order-sorted rewrite theories that support symbolic execution methods modulo equational axioms. This paper generalizes the symbolic homeomorphic embedding relation to order–sorted rewrite theories that may contain various combinations of associativity and/or commutativity axioms for different binary operators. We systematically measure the performance of increasingly efficient formulations of the homeomorphic embedding relation modulo associativity and commutativity axioms. From our experimental results, we conclude that our most efficient version indeed pays off in practice.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • María Alpuente
    • 1
  • Angel Cuenca-Ortega
    • 1
    • 3
  • Santiago Escobar
    • 1
    Email author
  • José Meseguer
    • 2
  1. 1.DSIC-ELP, Universitat Politècnica de ValènciaValenciaSpain
  2. 2.University of Illinois at Urbana-ChampaignUrbanaUSA
  3. 3.Universidad de GuayaquilGuayaquilEcuador

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