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Some Algebraic Properties of Machine Poset of Infinite Words

Published online by Cambridge University Press:  03 June 2008

Aleksandrs Belovs
Aleksandrs Belovs*
Affiliation:
Department of Mathematics, University of Latvia, Raiņa bulvāris 19, Rīga, Latvia; stiboh@inbox.lv
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Abstract

The complexity of infinite words is considered from the point of view of a transformation with a Mealy machine that is the simplest model of a finite automaton transducer. We are mostly interested in algebraic properties of the underlying partially ordered set. Results considered with the existence of supremum, infimum, antichains, chains and density aspects are investigated.

Keywords

Infinite wordsMealy machineposetalgebraic properties.
Type
Research Article
Information
RAIRO - Theoretical Informatics and Applications , Volume 42 , Issue 3: JM'06 , July 2008 , pp. 451 - 466
Copyright
© EDP Sciences, 2008

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