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Semigroups, Formal Languages and Groups (Paperback, Softcover reprint of the original 1st ed. 1995)
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Semigroups, Formal Languages and Groups (Paperback, Softcover reprint of the original 1st ed. 1995)
Series: NATO Science Series C, 466
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This volume presents the core of invited expository lectures given
at the 1993 NATO ASI held at the University of York. The subject
matter of the ASI was the interplay between automata, semigroups,
formal languages and groups. The invited talks were of an
introductory nature but at a high level and many reached the
cutting edge of research in the area. The lectures were given to a
mixed group of students and specialists and were designed to be
accessible to a broad audience. The papers were written in a
similar spirit in the hope that their readership will be as wide as
possible. With one exception they are all based on the talks which
the lecturers gave at the meeting. The exception is caused by the
fact that due to unanticipated progress the topic of John Rhodes'
talk is now in such a state of flux that it has not been possible
to produce a paper giving a clear picture of the situation.
However, we do include an article by a member of the "Rhodes
school" , namely Christopher Nehaniv, expanding on a contributed
talk he gave. It generalizes the celebrated Krohn-Rhodes theorem
for finite semigroups to all semigroups. For many years there has
been a strong link between formal language theory and the theory of
semigroups. Each subject continues to influence the other.
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