Abstraction and Counterexample-Guided Refinement in Model Checking of Hybrid Systems
Abstract
Hybrid dynamic systems include both continuous and discrete state variables. Properties of hybrid systems, which have an infinite state space, can often be verified using ordinary model checking together with a finite-state abstraction. Model checking can be inconclusive, however, in which case the abstraction must be refined. This paper presents a new procedure to perform this refinement operation for abstractions of hybrid systems. Following an approach originally developed for finite-state systems, the refinement procedure constructs a new abstraction that eliminates a counterexample generated by the model checker. For hybrid systems, analysis of the counterexample requires the computation of sets of reachable states in the continuous state space. We show how such reachability computations with varying degrees of complexity can be used to refine hybrid system abstractions efficiently. Examples illustrate our counterexample-guided refinement procedure and experimental results for a prototype implementation of the procedure indicate significant advantages over existing methods.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2003
- Accession Number
- ADA461189
Entities
People
- Ansgar Fehnker
- Bruce H. Krogh
- Edmund M. Clarke
- Joel Ouaknine
- Michael Theobald
- Olaf Stursberg
- Zhi Han
Organizations
- Carnegie Mellon University