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The synthesis problem is to decide for a deterministic transition
system whether a Petri net with an isomorphic reachability graph
exists and in case to find such a net (which must have the
arc-labels of the transition system as transitions). In this paper,
we weaken isomorphism to some form of bisimilarity that also takes
concurrency into account and we consider safe nets that may have
additional internal transitions. To speak of concurrency, the
transition system is enriched by an independence relation to an
asynchronous transition system.
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