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How much can analog and hybrid systems be proved (super-)Turing

Olivier Bournez 1
1 PROTHEO - Constraints, automatic deduction and software properties proofs
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : Church thesis and its variants say roughly that all reasonable models of computation do not have more power than Turing Machines. In a contrapositive way, they say that any model with super-Turing power must have something unreasonable. Our aim is to discuss how much theoretical computer science can quantify this, by considering several classes of continuous time dynamical systems, and by studying how much they can be proved Turing or super-Turing.
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https://hal.inria.fr/inria-00000517
Contributor : Olivier Bournez <>
Submitted on : Wednesday, October 26, 2005 - 6:58:30 PM
Last modification on : Friday, February 26, 2021 - 3:28:06 PM

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Olivier Bournez. How much can analog and hybrid systems be proved (super-)Turing. Applied Mathematics and Computation, Elsevier, 2005. ⟨inria-00000517⟩

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