@article {tr-brz, title = {Brzozowski{\textquoteright}s algorithm (co)algebraically}, number = {SEN 11-14}, year = {2011}, month = {December}, pages = {1-13}, institution = {Centrum Wiskunde \& Informatica}, address = {Amsterdam, The Netherlands}, abstract = {

We give a new presentation of Brzozowski{\textquoteright}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.

}, issn = {SEN-1114}, attachments = {https://haslab.uminho.pt/sites/default/files/xana/files/18796d.pdf}, author = {Filippo Bonchi and Marcello Bonsangue and Jan Rutten and Alexandra Silva} }