Equational description of pseudovarieties of homomorphisms
| Autoři | |
|---|---|
| Rok publikování | 2003 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | RAIRO - Theoretical Informatics and Applications |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.edpsciences.org/articles/ita/abs/2003/03/ita0311/ita0311.html |
| Obor | Obecná matematika |
| Klíčová slova | Pseudovariety; Pseudoidentity; Implicit operation; Variety of regular languages; Syntactic homomorphism |
| Popis | The notion of pseudovarieties of homomorphisms onto finite monoids was recently introduced by Straubing as an algebraic characterization for certain classes of regular languages. In this paper we provide a mechanism of equational description of these pseudovarieties based on an appropriate generalization of the notion of implicit operations. We show that the resulting metric monoids of implicit operations coincide with the standard ones, the only difference being the actual interpretation of pseudoidentities. As an example, an equational characterization of the pseudovariety corresponding to the class of regular languages in AC0 is given. |
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