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HYBRID
2007
Springer

Composing Semi-algebraic O-Minimal Automata

12 years 5 months ago
Composing Semi-algebraic O-Minimal Automata
This paper addresses questions regarding the decidability of hybrid automata that may be constructed hierarchically and in a modular way, as is the case in many exemplar systems, be it natural or engineered. Since the basic fundamental step in such constructions is a product operation, an essential property that would be desired is that the reachability property of the product hybrid automaton be decidable, provided that the component hybrid automata belong to a suitably restricted family of automata. Somewhat surprisingly, the product operation does not assure a closure of decidability for the reachability problem. Nonetheless, this paper establishes the decidability of the reachability condition over automata which are obtained by synchronizing two semi-algebraic o-minimal systems.
Alberto Casagrande, Pietro Corvaja, Carla Piazza,
Added 07 Jun 2010
Updated 07 Jun 2010
Type Conference
Year 2007
Where HYBRID
Authors Alberto Casagrande, Pietro Corvaja, Carla Piazza, Bud Mishra
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