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Lazard's Elimination (in traces) is finite-state recognizable

Gérard Duchamp, Jean-Gabriel Luque

math.COarXiv:math/0607280

Abstract

We prove that the codes issued from the elimination of any subalphabet in a trace monoid are finite state recognizable. This implies in particular that the transitive factorizations of the trace monoids are recognizable by (boolean) finite-state automata.

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