Eilenberg's variety theorem gives a bijective correspondence between varieties of languages and varieties of finite monoids. The second author gave a similar relation between...
Reversible finite automata with halting states (RFA) were first considered by Ambainis and Freivalds to facilitate the research of KondacsWatrous quantum finite automata. In this ...
Automata models of learning systems introduced in the 1960s were popularized as learning automata (LA) in a survey paper in 1974 [1]. Since then, there have been many fundamental a...
We derive a Mal'cev condition for congruence meet-semidistributivity and then use it to prove two theorems. Theorem A: if a variety in a finite language is congruence meet-sem...