Set difference operation for regular Petri net languages for the producer/consumer problem with the bounded buffer

نویسندگان

چکیده

We consider a Petri net for the producer/consumer problem (one of classical synchronization problems) with bounded buffer size n and regular formal languages Ln, generated by net. The objective this paper is to obtain expression set difference Ln \ Lm, > m. For purpose, we give finite automaton which accepts mentioned languages, then use state elimination method in recursive form. main result illustrated examples. In an appendix, two producers consumers 1. reachability graph propose obtaining expression. explicit formulas are given one consumer also producer consumers.

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ژورنال

عنوان ژورنال: Sistemnì doslìdžennâ ta ìnformacìjnì tehnologìï

سال: 2021

ISSN: ['1681-6048', '2308-8893']

DOI: https://doi.org/10.20535/srit.2308-8893.2021.2.08