Publication details

On Varieties of Ordered Automata

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Authors

KLÍMA Ondřej POLÁK Libor

Year of publication 2019
Type Article in Proceedings
Conference Language and Automata Theory and Applications
MU Faculty or unit

Faculty of Science

Citation
web 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
Keywords Algebraic language theory; Ordered automata
Description 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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