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Trace theory was introduced to capture the behavior of 1-safe Petri nets, it is based on partial commutation relations where two adjacent letters are allowed to permute. More general nets need more general commutation relations: we consider generalized and context dependent ones. We give necessary conditions and sufficient conditions for such relations to be reliable (preserve recognizability) and we provide a semi-algorithm to compute the closure of a language.

Reliable generalized and context dependent commutation relations