Browsing by Author "Gozzi, Riccardo"
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- Characterizing time computational complexity classes with polynomial differential equationsPublication . Gozzi, Riccardo; Graça, DanielIn this paper we show that several classes of languages from computational complexity theory, such as EXPTIME, can be characterized in a continuous manner by using only polynomial differential equations. This characterization applies not only to languages, but also to classes of functions, such as the classes defining the Grzegorczyk hierarchy, which implies an analog characterization of the class of elementary computable functions and the class of primitive recursive functions.
- A continuous characterization of PSPACE using polynomial ordinary differential equationsPublication . Bournez, Olivier; Gozzi, Riccardo; Graça, Daniel; Pouly, AmauryIn this paper we provide a characterization of the complexity class PSPACE by using a purely continuous model defined with polynomial ordinary differential equations.