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Universal Theory of Automata (German, Paperback, 1974 ed.)
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Universal Theory of Automata (German, Paperback, 1974 ed.)
Series: Xteubner Studienbucher Informatik
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Our purpose in writing this book is to present a universal theory
of automata which on one hand unifies the theories of several
well-known types of automata and on the other hand allows
interesting new applications and results. The frame work for our
development is category theory, especially universal constructions
in monoidal categories. But we will carefully motivate and
introduce all those (and only those) notions and results of
category theory which are needed in our approach. The reader is
only assumed to be familiar with sets, deterministic functions,
relations and the basic no tions of structural mathematics.
However, some knowledge of discrete probability distributions,
linear algebra and general topology would be useful in
understanding the corre sponding applications and in having a
better background for the general theory. All our constructions and
results are motivated and interpreted carefully with respect to the
classical theory of deterministic, partial, linear, topolog ical,
nondeterministic, relational and stochastic automata. The book is
mainly devoted to students of theoretical com puter science or
mathematics and can be used as a textbook in graduate courses or
seminars. On the other hand it will also be useful for many other
people, who are concerned with the interesting new research area of
category theory applied to computation and control."
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