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Abstract : We provide an overview of theories of continuous time computation. These theories allow us to understand both the hardness of questions related to continuous time dynamical systems and the computational power of continuous time analog models. We survey the existing models, summarizing results, and point to relevant references in the literature.
https://hal-polytechnique.archives-ouvertes.fr/hal-00760976 Contributor : Olivier BournezConnect in order to contact the contributor Submitted on : Tuesday, December 4, 2012 - 4:31:09 PM Last modification on : Friday, May 13, 2022 - 10:18:05 PM Long-term archiving on: : Wednesday, March 6, 2013 - 4:51:02 PM
Olivier Bournez, Manuel Campagnolo. A Survey on Continuous Time Computations. New Computational Paradigms. Changing Conceptions of What is Computable, Springer, pp.383-423, 2008. ⟨hal-00760976⟩