Equivalence checking for weak biKleene algebra
journal paper, in LMCS 2021
Pomset automata are an operational model of weak biKleene algebra, which describes program that can fork an execution into parallel threads, upon completion of which execution can join to resume as a single thread. We characterize a fragment of pomset automata that admits a decision procedure for language equivalence. Furthermore, we prove that this fragment corresponds precisely to seriesrational expressions, i.e., rational expressions with an additional operator for bounded parallelism. As a consequence, we obtain a new proof that equivalence of seriesrational expressions is decidable.
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