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@article{490364, author = {Kunc, Michal}, article_location = {Amsterdam}, article_number = {1-3}, keywords = {Partial commutativity; Trace monoid; Coding; Concurrency}, language = {eng}, issn = {0304-3975}, journal = {Theoretical Computer Science}, title = {Undecidability of the trace coding problem and some decidable cases}, url = {http://authors.elsevier.com/sd/article/S0304397503004468}, volume = {310}, year = {2004} }
TY - JOUR ID - 490364 AU - Kunc, Michal PY - 2004 TI - Undecidability of the trace coding problem and some decidable cases JF - Theoretical Computer Science VL - 310 IS - 1-3 SP - 393 EP - 393 PB - Elsevier SN - 03043975 KW - Partial commutativity KW - Trace monoid KW - Coding KW - Concurrency UR - http://authors.elsevier.com/sd/article/S0304397503004468 N2 - We introduce and investigate the notion of weak morphisms of trace monoids with the aim of dealing 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. On the other hand, we show its decidability when restricted to instances with domain monoids defined by acyclic dependence graphs. We also partially answer the question of Diekert from 1990 about the number of free monoids needed for encoding a given trace monoid into their direct product. ER -
KUNC, Michal. Undecidability of the trace coding problem and some decidable cases. \textit{Theoretical Computer Science}. Amsterdam: Elsevier, 2004, roč.~310, 1-3, s.~393-456. ISSN~0304-3975.
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