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Published in:
2012 | OriginalPaper | Chapter
Brzozowski’s Algorithm (Co)Algebraically
Authors : Filippo Bonchi, Marcello M. Bonsangue, Jan J. M. M. Rutten, Alexandra Silva
Published in: Logic and Program Semantics
Publisher: Springer Berlin Heidelberg
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We give a new presentation of Brzozowski’s algorithm to minimize finite automata, using elementary facts from universal algebra and coalgebra, and building on earlier work by Arbib and Manes on the duality between reachability and observability. This leads to a simple proof of its correctness and opens the door to further generalizations.