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Erschienen in:
2009 | OriginalPaper | Buchkapitel
Erasing in Petri Net Languages and Matrix Grammars
verfasst von : Georg Zetzsche
Erschienen in: Developments in Language Theory
Verlag: Springer Berlin Heidelberg
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It is shown that applying linear erasing to a Petri net language yields a language generated by a non-erasing matrix grammar. The proof uses Petri net controlled grammars. These are context-free grammars, where the application of productions has to comply with a firing sequence in a Petri net. Petri net controlled grammars are equivalent to arbitrary matrix grammars (without appearance checking), but a certain restriction on them (linear Petri net controlled grammars) leads to the class of languages generated by non-erasing matrix grammars.
It is also shown that in Petri net controlled grammars (with final markings and arbitrary labeling), erasing rules can be eliminated, which yields a reformulation of the problem of whether erasing rules in matrix grammars can be eliminated.