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Automata theory is the oldest among the disciplines constituting
the subject matter of this Monograph Series: theoretical computer
science. Indeed, automata theory and the closely related theory of
formal languages form nowadays such a highly developed and
diversified body of knowledge that even an exposition of
"reasonably important" results is not possible within one volume.
The purpose of this book is to develop the theory of automata and
formal languages, starting from ideas based on linear algebra. By
what was said above, it should be obvious that we do not intend to
be encyclopedic. However, this book contains the basics of regular
and context-free languages (including some new results), as well as
a rather complete theory of pushdown automata and variations (e. g.
counter automata). The wellknown AFL theory is extended to power
series ("AFP theory"). Additional new results include, for
instance, a grammatical characterization of the cones and the
principal cones of context-free languages, as well as new
decidability results.
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