This is a rigorous and self-contained monograph on a central topic
in theoretical computer science. For the first time in book form,
original results from the last ten years are presented, some
previously unpublished, using combinatorial and algebraic methods.
These are mainly based on combinatorics on words and especially on
the theory of "unavoidable regularities." Researchers will find
important new results on semigroups and formal languages, as well
as various applications for these methods.
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