Cybernetics and Systems Analysis

, Volume 55, Issue 5, pp 742–751 | Cite as

Detecting Fictitious States in a Σ-Automaton Synthesized from Its Specification in the Language LP

  • A. N. ChebotarevEmail author


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.


Σ-automaton fictitious state initial strongly connected subautomaton normal form ω-regular set basic cycle 


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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  1. 1.V. M. Glushkov Institute of CyberneticsNational Academy of Sciences of UkraineKyivUkraine

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