Определение фиктивных состояний в Σ-автомате, синтезированном по спецификации в языке LP / Чеботарев А. Н. (2019)
Ukrainian

English  Cybernetics and Systems Analysis   /     Issue (2019, 55 (5))

Chebotarev A.N.
Detecting fictitious states in a Σ-automaton synthesized from the specification in the language LP

Synthesizing a deterministic Σ-automaton specified in the language LP consists in sequentially executing two procedures. The first constructs an automaton with a subautomaton identical to the automaton specified, and the other eliminates the states that do not belong to this subautomaton. Such states are called fictitious. A method for detecting fictitious states is considered. The obtained results allow to reduce the detection of fictitious states to finding the so-called basic cycles and eventually to checking the membership of a periodic left-infinite word in some –ω-regular set. © 2019, Springer Science+Business Media, LLC, part of Springer Nature.

Keywords: basic cycle, fictitious state, initial strongly connected subautomaton, normal form, Σ-automaton, –ω-regular set, Cybernetics, basic cycle, fictitious state, Infinite word, Normal form, Strongly connected, Computer science


Cite:
Chebotarev A.N. (2019). Detecting fictitious states in a Σ-automaton synthesized from the specification in the language LP. Cybernetics and Systems Analysis, 55 (5), 47-57. doi: https://doi.org/10.1007/s10559-019-00184-x http://jnas.nbuv.gov.ua/article/UJRN-0001018662 [In Russian].


 

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