Books


Inverse semigroups: the theory of partial symmetries

Published by World Scientific in 1998.
This book sets out to develop the theory of inverse semigroups taking Ehresmann's theory of ordered groupoids as its jumping off point. It includes accounts of the theory of tiling semigroups, introduced by Johannes Kellendonk, together with other applications.

Finite automata

Published by CRC Press in 2003.
This is a textbook intended for both mathematicians and computer scientists. The first half of the book, which is more CS oriented, deals with Kleene's Theorem and minimisation; the second half of the book, which is more maths oriented, deals with the Eilenberg-Schutzenberger correspondence which links varieties of regular languages with  pseudovarieties of finite monoids.  A solution book is also  available from the publishers.

Handbook of Networked and Embedded Control Systems

Edited by Dimitrios Hristu-Varsakelis and William S. Levine, published by Birkhauser in 2004.
I wrote the chapter entitled Finite Automata, 117-143.

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