Reachability analysis of dynamical systems having piecewise-constant derivatives, Theoretical Computer Science, vol.138, issue.1, pp.35-65, 1995. ,
DOI : 10.1016/0304-3975(94)00228-B
A new recursion-theoretic characterization of the polytime functions, Computational Complexity, vol.106, issue.2, pp.97-110, 1992. ,
DOI : 10.1007/BF01201998
On a theory of computation and complexity over the real numbers: $NP$- completeness, recursive functions and universal machines, Bulletin of the American Mathematical Society, vol.21, issue.1, pp.1-46, 1989. ,
DOI : 10.1090/S0273-0979-1989-15750-9
New Computational Paradigms. Changing Conceptions of What is Computable, chapter A Survey on Continuous Time Computations, pp.383-423, 2008. ,
Polynomial differential equations compute all real computable functions on computable compact intervals, Journal of Complexity, vol.23, issue.3, pp.317-335, 2007. ,
DOI : 10.1016/j.jco.2006.12.005
URL : https://hal.archives-ouvertes.fr/inria-00102947
Recursive analysis characterized as a class of real recursive functions, Fundamenta Informaticae, vol.74, issue.4, pp.409-433, 2006. ,
URL : https://hal.archives-ouvertes.fr/inria-00000515
Computability over Topological Structures, Computability and Models, pp.93-136, 2003. ,
DOI : 10.1007/978-1-4615-0755-0_5
An analog characterization of the Grzegorczyk hierarchy, Journal of Complexity, vol.18, issue.4, pp.977-1000, 2002. ,
The methods of approximation and lifting in real computation, In Computability and Complexity in Analysis Electronic Notes in Theoretical Computer Science, vol.167, pp.387-423, 2006. ,
Computational models and function algebras, Handbook of Computability Theory, pp.589-681, 1998. ,
The intrinsic computational difficulty of functions, Proceedings of the International Conference on Logic, Methodology, and Philosophy of Science, pp.24-30, 1965. ,
Robust simulations of Turing machines with analytic maps and flows, CiE 2005: New Computational Paradigms, pp.169-179, 2005. ,
Analog computers and recursive functions over the reals, pp.644-664, 2003. ,
On the definitions of computable real continuous functions, pp.61-71, 1957. ,
Type systems for polynomial-time computation, 1999. ,
The expressive power of higher-order types or, life without CONS, Journal of Functional Programming, vol.11, issue.1, pp.5-94, 2001. ,
DOI : 10.1017/S0956796800003889
A new characterization of type-2 feasibility, SIAM Journal on Computing, vol.25, issue.1, pp.117-132, 1996. ,
Complexity Theory of Real Functions, Birkhäuser, 1991. ,
DOI : 10.1007/978-1-4684-6802-1
Extension de la notion de fonction récursive aux fonctions d'une ou plusieurs variables réelles III. Comptes Rendus de l'Académie des sciences Paris, pp.151-153, 1955. ,
Efficient first order functional program interpreter with time bound certifications, LPAR, pp.25-42, 1955. ,
URL : https://hal.archives-ouvertes.fr/inria-00099178
Dynamical recognizers: real-time language recognition by analog computers, Theoretical Computer Science, vol.201, issue.1-2, pp.99-136, 1998. ,
DOI : 10.1016/S0304-3975(97)00028-5
URL : http://doi.org/10.1016/s0304-3975(97)00028-5
Event detection for ODES and nonrecursive hierarchies, Proceedings of the Colloquium in Honor of Arto Salomaa, pp.358-371, 1994. ,
DOI : 10.1007/3-540-58131-6_59
Mathematical Theory of the Differential Analyzer, Journal of Mathematics and Physics, vol.XXII, issue.1-4, pp.337-354, 1941. ,
DOI : 10.1002/sapm1941201337
On computable numbers, with an application to the Entscheidungsproblem, Proceedings of the London Mathematical Society, pp.230-265, 1936. ,
Computable Analysis: an Introduction, 2000. ,