The trace coding problem is undecidable (extended abstract)

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Authors	KUNC Michal
Year of publication	2001
Type	Article in Proceedings
Conference	Automata, Languages and Programming : 28th International Colloquium, ICALP 2001, Proceedings
MU Faculty or unit	Faculty of Science
Citation
Field	General mathematics
Description	We introduce the notion of weak morphisms of trace monoids and use it to deal with the problem of deciding the existence of codings between trace monoids. We prove that this problem is not recursively enumerable, which answers the question raised by Ochmanski in 1988. We also show its decidability when restricted to instances with domain monoids defined by acyclic dependence graphs.
Related projects:	Mathematical structures of algebra and geometry