Bisimulation Collapse and the Process Taxonomy

نویسندگان

  • Olaf Burkart
  • Didier Caucal
  • Bernhard Steffen
چکیده

We consider the factorization (collapse) of infinite transition graphs wrt. bisimulation equivalence. It turns out that almost none of the more complex classes of the process taxonomy, which has been established in the last years, are preserved by this operation. However, for the class of BPA graphs (i.e. prefix transition graphs of context-free grammars) we can show that the factorization is effectively a regular graph, i.e. finitely representable by means of a deterministic hypergraph grammar. Since finiteness of regular graphs is decidable, this yields, as a corollary, a decision procedure for the finiteness problem of context-free processes wrt. bisimulation equivalence.

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تاریخ انتشار 1996