A Characterization of Polynomial Time Computable Functions from the Integers to the Reals Using Discrete Ordinary Differential Equations

Author:

Blanc Manon,Bournez Olivier

Publisher

Springer International Publishing

Reference27 articles.

1. Arnold, V.I.: Ordinary Differential Equations. MIT Press, Cambridge (1978)

2. Bellantoni, S., Cook, S.: A new recursion-theoretic characterization of the poly-time functions. Comput. Complex. 2, 97–110 (1992)

3. Birkhoff, G., Rota, G.C.: Ordinary Differential Equations, 4th edn. Wiley, Hoboken (1989)

4. Bournez, O., Campagnolo, M.L., Graça, D.S., Hainry, E.: Polynomial differential equations compute all real computable functions on computable compact intervals. J. Complex. 23(3), 317–335 (2007)

5. Bournez, O., Durand, A.: Recursion schemes, discrete differential equations and characterization of polynomial time computation. Technical report (2018, Submitted). A preliminary version coauthored with Sabrina Ouazzani. https://arxiv.org/abs/1810.02241

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