@conference {BRS09a, title = {A Kleene theorem for polynomial coalgebras}, booktitle = {Proceedings of the Twelfth International Conference on Foundations of Software Science and Computation structures (FoSSaCS 2009)}, series = {Lecture Notes in Computer Science}, volume = {5504}, year = {2009}, month = {March}, pages = {122{\textendash}136}, publisher = {Springer}, organization = {Springer}, address = {York, UK }, abstract = {

For polynomial functors G, we show how to generalize the classical notion of regular expression to G-coalgebras. We introduce a language of expressions for describing elements of the final G-coalgebra and, analogously to Kleene{\textquoteright}s theorem, we show the correspondence between expressions and finite G-coalgebras.

}, attachments = {https://haslab.uminho.pt/sites/default/files/xana/files/brs09a.pdf}, author = {Marcello Bonsangue and Jan Rutten and Alexandra Silva} }