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Hybrid Systems and Monadic Logic

Sami Lifsches
University of Groningen
Department of Mathematics and Computing Science

We will discuss the connections between Hybrid Systems, Tree Automata and Monadic second-order Logic. Our main result is that a Hybrid System is controllable by a tree automaton if and only if it is definable in the monadic theory of the binary tree. A system that is not controllable may become one if "looking ahead" is allowed. In that case, the system can be approximated by a definable, controllable system.


 


1999-03-19