2009 | OriginalPaper | Buchkapitel
Faithful Loops for Aperiodic E-Ordered Monoids
(Extended Abstract)
verfasst von : Martin Beaudry, François Lemieux
Erschienen in: Automata, Languages and Programming
Verlag: Springer Berlin Heidelberg
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One of the main objectives of the algebraic theory of regular languages concerns the classification of regular languages based on Eilenberg’s variety theorem [10]. This theorem states that there exists a bijection between varieties of regular languages and varieties of finite monoids. For example, the variety of star-free regular languages (the closure of finite languages under Boolean operations and concatenation) is related to the monoid variety of aperiodic monoids (those with no nontrivial subgroups)[21].