English

Approximate Testing Equivalence Based on Time, Probability, and Observed Behavior

Logic in Computer Science 2010-06-29 v1

Abstract

Several application domains require formal but flexible approaches to the comparison problem. Different process models that cannot be related by behavioral equivalences should be compared via a quantitative notion of similarity, which is usually achieved through approximation of some equivalence. While in the literature the classical equivalence subject to approximation is bisimulation, in this paper we propose a novel approach based on testing equivalence. As a step towards flexibility and usability, we study different relaxations taking into account orthogonal aspects of the process observations: execution time, event probability, and observed behavior. In this unifying framework, both interpretation of the measures and decidability of the verification algorithms are discussed.

Keywords

Cite

@article{arxiv.1006.5094,
  title  = {Approximate Testing Equivalence Based on Time, Probability, and Observed Behavior},
  author = {Alessandro Aldini},
  journal= {arXiv preprint arXiv:1006.5094},
  year   = {2010}
}
R2 v1 2026-06-21T15:41:17.330Z