The Bisimulation Problem for Equational Graphs of Finite Out-Degree

  • Authors:
  • Géraud Sénizergues

  • Affiliations:
  • -

  • Venue:
  • SIAM Journal on Computing
  • Year:
  • 2005

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Abstract

The bisimulation problem for equational graphs of finite out-degree is shown to be decidable. We reduce this problem to the $\eta$-bisimulation problem for deterministic rational (vectors of) boolean series on the alphabet of a deterministic pushdown automaton ${\cal M}$. We then exhibit a complete formal system for deducing equivalent pairs of such vectors.