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

Intelligent systems. Theory and applications, 2024 Volume 28, Issue 2, Pages 34–51 (Mi ista539)

Part 3. Mathematical models

Study of bases in precomplete classes of the set of linear 2-adic automata

M. E. Kalashnikov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: The present paper considers precomplete classes in the class of linear 2-adic automata. The paper provides the study of bases for each precomplete class.

Keywords: finite automaton, p-adic number, linear 2-adic automaton, compositional operations, feedback, completeness problem, basis



© Steklov Math. Inst. of RAS, 2026