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On Varieties of Ordered Automata

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KLÍMA Ondřej POLÁK Libor

Rok publikování 2019
Druh Článek ve sborníku
Konference Language and Automata Theory and Applications
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://rd.springer.com/chapter/10.1007%2F978-3-030-13435-8_8
Doi http://dx.doi.org/10.1007/978-3-030-13435-8_8
Klíčová slova Algebraic language theory; Ordered automata
Popis The Eilenberg correspondence relates varieties of regular languages with pseudovarieties of finite monoids. Various modifications of this correspondence have been found with more general classes of regular languages on one hand and classes of more complex algebraic structures on the other hand. It is also possible to consider classes of automata instead of algebraic structures as a natural counterpart of classes of languages. Here we deal with the correspondence relating positive C -varieties of languages to positive C -varieties of ordered automata and we demonstrate various specific instances of this correspondence. These bring certain well-known results from a new perspective and also some new observations. Moreover, complexity aspects of the membership problem are discussed both in the particular examples and in a general setting.
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