On computational complexity of set automata

نویسندگان

چکیده

We consider a computational model which is known as set automata. The automata are one-way finite with additional storage—the set. There two kinds of automata—deterministic (DSA's) and nondeterministic (NSA's). was introduced by Kutrib, Malcher, Wendlandt in 2014. It shown that DSA-recognizable languages look similar to DCFL's NSA-recognizable CFL's. In this paper, we extend similarity prove recognizable NSA's form rational cone, do main topic paper complexity: DSA's belong P there P-complete among them; NP NP-complete the word membership problem for without ε-loops PSPACE-complete general DSA's; emptiness DSA's.

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ژورنال

عنوان ژورنال: Information & Computation

سال: 2021

ISSN: ['0890-5401', '1090-2651']

DOI: https://doi.org/10.1016/j.ic.2021.104797