Multi-buffer simulations: Decidability and complexity

Abstract : Multi-buffer simulation is a refinement of fair simulation between two nonde-terministic B ¨ uchi automata (NBA). It is characterised by a game in which letters get pushed to and taken from FIFO buffers of bounded or unbounded capacity. Games with a single buffer approximate the PSPACE-complete language inclusion problem for NBA. With multiple buffers and a fixed mapping of letters to buffers these games approximate the undecidable inclusion problem between Mazurkiewicz trace languages. We study the decidability and complexity of multi-buffer simulations and obtain the following results: P-completeness for fixed bounded buffers, EXPTIME-completeness in case of a single unbounded buffer and high undecidability (in the analytic hierarchy) with two buffers of which at least one is unbounded. We also consider a variant in which the buffers are kept untouched or flushed and show PSPACE-completeness for the single-buffer case.
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Submitted on : Tuesday, November 13, 2018 - 1:17:36 PM
Last modification on : Wednesday, November 28, 2018 - 1:14:01 AM
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Milka Hutagalung, Norbert Hundeshagen, Dietrich Kuske, Martin Lange, Etienne Lozes. Multi-buffer simulations: Decidability and complexity. Information and Computation, Elsevier, 2018, 262, pp.280 - 310. ⟨10.1016/j.ic.2018.09.008⟩. ⟨hal-01920584⟩

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