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Some Algebraic Properties of Machine Poset of Infinite Words

Published online by Cambridge University Press:  03 June 2008

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.

Type
Research Article
Copyright
© EDP Sciences, 2008

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