Automata on infinite biposets

Németh, Zoltán L.: Automata on infinite biposets. Acta cybernetica, (17) 4. pp. 765-797. (2006)

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Bisemigroups are algebras equipped with two independent associative operations. Labeled finite sp-biposets may serve as a possible representation of the elements of the free bisemigroups. For finite sp-biposets, an accepting device, called parenthesizing automaton, was introduced in [6], and it was proved that its expressive power is equivalent to both algebraic recognizability and monadic second order definability. In this paper, we show, how this concept of parenthesizing automaton can be generalized for infinite biposets in a way that the equivalence of regularity (defined by acceptance with automata), recognizability (defined by homomorphisms and finite ω-bisemigroups) and MSO-definability remains true.

Item Type: Article
Event Title: International Conference on Automata and Formal Languages, 11., 2005, Dobogókő
Journal or Publication Title: Acta cybernetica
Date: 2006
Volume: 17
Number: 4
Page Range: pp. 765-797
ISSN: 0324-721X
Language: angol
Uncontrolled Keywords: Természettudomány, Informatika
Additional Information: Bibliogr.: p. 796-797.; Abstract
Date Deposited: 2016. Oct. 15. 12:25
Last Modified: 2018. Jun. 05. 15:24

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