Theoretical Computer Science
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Mixed real-integer linear quantifier elimination
ISSAC '99 Proceedings of the 1999 international symposium on Symbolic and algebraic computation
A Practical Decision Procedure for Arithmetic with Function Symbols
Journal of the ACM (JACM)
Automatic Symbolic Verification of Embedded Systems
IEEE Transactions on Software Engineering
Augmenting the discrete timed automaton with other data structures
Theoretical Computer Science
What Will Be Eventually True of Polynomial Hybrid Automata?
TACS '01 Proceedings of the 4th International Symposium on Theoretical Aspects of Computer Software
Information flow in hybrid systems
ACM Transactions on Embedded Computing Systems (TECS)
Timed Automata with Data Structures for Distributed Systems Design and Analysis
SEFM '05 Proceedings of the Third IEEE International Conference on Software Engineering and Formal Methods
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Hybrid systems is a suitable model to describe systems composed of both continuous and discrete components. The continuous components typically represent physic events. The discrete components are logic devices, such as switches and digital circuitry. A typical example is a system where physical processes are controlled by embedded controllers. Different classes of hybrid systems have been proposed. In this paper we consider hybrid systems equipped with real variable (as usual), integer variables and unbounded arrays. We study the expressive power of five classes: Linear real hybrid systems, Polynomial real hybrid systems, Mixed hybrid systems, D-hybrid systems and S-Hybrid systems. For these classes there exists a quantifier elimination technique for computing the successor operator, hence the reachability problem is semidecidable.