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JOURNALS // Intelligent systems. Theory and applications // Archive

Intelligent systems. Theory and applications, 2019 Volume 23, Issue 3, Pages 81–84 (Mi ista240)

Part 2. Special Issues in Intellectual Systems Theory

On the number of maximum overclasses in the linear automata class

A. A. Chasovskikh


Abstract: Updated maximale subclasses lists in linear automata classes over finite fields. A criterion is found for the finiteness of the number of precomplete overclasses for a given set of linear automata.

Keywords: finite automaton, linear automaton, operation of composition, feedback, completeness, closed class, maximum subclass, finite field.



© Steklov Math. Inst. of RAS, 2026