Linearly realizable automata
Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 59-79.

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The paper is devoted to the investigation of “linearly realizable” automata, i.e. automata that allow state encodings that lead to implementations with linear Boolean operators. We formulate the criterion of linear realizability and obtain upper and lower bounds on the number of linearly realizable automata.
Keywords: automata theory, automata, semiautomata, transition systems, permutation, substitution function, assignment, state encoding, complexity.
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S. B. Rodin. Linearly realizable automata. Diskretnaya Matematika, Tome 29 (2017) no. 1, pp. 59-79. http://geodesic.mathdoc.fr/item/DM_2017_29_1_a5/

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