Abstract
Automata with concurrency relations A are labelled transition systems with a collection of binary relations indicating when two actions, in a given state of the automaton, are concurrent. We investigate concurrency monoids M( A ) comprising all finite computation sequences of A , modulo a canonical congruence induced by the concurrency relations, with composition as monoid operation. Under suitable assumptions on A we obtain a Kleene-type characterization of the recognizable languages of M( A ). This generalizes results of Cori, Métivier, Perrin and Ochmanski in trace theory.
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