39th Annual Symposium on Foundations of Computer Science
Decidability of Bisimulation Equivalence for Equational Graphs of Finite Out-Degree
Palo Alto, California
November 08-November 11
ISBN: 0-8186-9172-7
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 dpda M. We then exhibit a complete formal system for deducing equivalent pairs of such vectors.
Index Terms:
bisimulation; equational graphs; deterministic pushdown automata; rational languages; matrix semi-groups; decidability; complete formal systems.
Citation:
Géraud Sénizergues, "Decidability of Bisimulation Equivalence for Equational Graphs of Finite Out-Degree," focs, pp.120, 39th Annual Symposium on Foundations of Computer Science, 1998