Uniform Reachability Algorithms

  • Authors:
  • Gerardo Lafferriere;Chris Miller

  • Affiliations:
  • -;-

  • Venue:
  • HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
  • Year:
  • 2000

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Abstract

We introduce the notion of a parametrized family (H)p)p∈P of hybrid systems, and consider questions of reachability in the systems Hp as the parameter p ranges over P. Under the assumption of a uniform (as p ranges over P) finite bound on the number of discrete transitions associated to the individual systems Hp, the notion of reachability is first-order (in the sense of mathematical logic) and uniform in the parameter p. Techniques from logic can then be used to analyze computational questions associated to the family of systems.