[HTML][HTML] A continuous characterization of PSPACE using polynomial ordinary differential equations

O Bournez, R Gozzi, DS Graça, A Pouly - Journal of Complexity, 2023 - Elsevier
A continuous characterization of PSPACE using polynomial ordinary differential equations -
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[HTML][HTML] On the functions generated by the general purpose analog computer

O Bournez, D Graça, A Pouly - Information and Computation, 2017 - Elsevier
Abstract We consider the General Purpose Analog Computer (GPAC), introduced by Claude
Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a …

[PDF][PDF] Approximability in the GPAC

D Poças, J Zucker - Logical Methods in Computer Science, 2019 - lmcs.episciences.org
Most of the physical processes arising in nature are modeled by differential equations, either
ordinary (example: the spring/mass/damper system) or partial (example: heat diffusion) …

Tracking computability of GPAC-generable functions

D Poças, J Zucker - Journal of Logic and Computation, 2021 - academic.oup.com
Analog computation attempts to capture any type of computation, that can be realized by any
type of physical system or physical process, including but not limited to computation over …

On the functions generated by the general purpose analog computer

B Olivier, D Graça, P Amaury - 2017 - sapientia.ualg.pt
Abstract We consider the General Purpose Analog Computer (GPAC), introduced by Claude
Shannon in 1941 as a mathematical model of Differential Analysers, that is to say as a …