%0 Conference Proceedings %T Defining Context-Free Power Series Coalgebraically %+ Leiden Institute of Advanced Computer Science [Leiden] (LIACS) %+ Centrum voor Wiskunde en Informatica (CWI) %+ Radboud University Medical Center [Nijmegen] %A Bonsangue, Marcello, M. %A Rutten, Jan %A Winter, Joost %< avec comité de lecture %( Lecture Notes in Computer Science %B 11th International Workshop on Coalgebraic Methods in Computer Science (CMCS) %C Tallinn, Estonia %Y Dirk Pattinson %Y Lutz Schröder %I Springer %3 Coalgebraic Methods in Computer Science %V LNCS-7399 %P 20-39 %8 2012-03-31 %D 2012 %R 10.1007/978-3-642-32784-1_2 %Z Computer Science [cs]Conference papers %X In this paper we present a coinductive definition of context free power series in terms of behavioural differential equations. We show that our coalgebraic approach provides a unified view on many, at first sight different, existing notions of algebraicity, and we apply our behavioural differential equations to produce a new proof for a classical result by Chomsky and Schützenberger, and a simple proof that the zip-operator of two algebraic streams is algebraic. %G English %2 https://inria.hal.science/hal-01539885/document %2 https://inria.hal.science/hal-01539885/file/978-3-642-32784-1_2_Chapter.pdf %L hal-01539885 %U https://inria.hal.science/hal-01539885 %~ IFIP-LNCS %~ IFIP %~ IFIP-CMCS %~ IFIP-LNCS-7399 %~ IFIP-ETAPS