Model checking
Quantified constraints under perturbation
Journal of Symbolic Computation
Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
HSCC '98 Proceedings of the First International Workshop on Hybrid Systems: Computation and Control
What Will Be Eventually True of Polynomial Hybrid Automata?
TACS '01 Proceedings of the 4th International Symposium on Theoretical Aspects of Computer Software
Verification of Automotive Control Units
Correct System Design, Recent Insight and Advances, (to Hans Langmaack on the occasion of his retirement from his professorship at the University of Kiel)
First-Order-CTL Model Checking
Proceedings of the 18th Conference on Foundations of Software Technology and Theoretical Computer Science
Beyond HYTECH: Hybrid Systems Analysis Using Interval Numerical Methods
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Analysis of Hybrid Systems: An Ounce of Realism Can Save an Infinity of States
CSL '99 Proceedings of the 13th International Workshop and 8th Annual Conference of the EACSL on Computer Science Logic
The d/dt Tool for Verification of Hybrid Systems
CAV '02 Proceedings of the 14th International Conference on Computer Aided Verification
Verification of hybrid systems based on counterexample-guided abstraction refinement
TACAS'03 Proceedings of the 9th international conference on Tools and algorithms for the construction and analysis of systems
Safety verification of hybrid systems by constraint propagation based abstraction refinement
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
Safety verification of hybrid systems by constraint propagation-based abstraction refinement
ACM Transactions on Embedded Computing Systems (TECS)
Computing Differential Invariants of Hybrid Systems as Fixedpoints
CAV '08 Proceedings of the 20th international conference on Computer Aided Verification
Computing differential invariants of hybrid systems as fixedpoints
Formal Methods in System Design
Formal Verification of Curved Flight Collision Avoidance Maneuvers: A Case Study
FM '09 Proceedings of the 2nd World Congress on Formal Methods
The image computation problem in hybrid systems model checking
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Symbolic reachability analysis of lazy linear hybrid automata
FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
Region stability proofs for hybrid systems
FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
Exact and fully symbolic verification of linear hybrid automata with large discrete state spaces
Science of Computer Programming
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We present a novel approach to the automatic verification and falsification of LTL requirements of non-linear discrete-time hybrid systems. The verification tool uses an interval-based constraint solver for non-linear robust constraints to compute incrementally refined abstractions. Although the problem is in general undecidable, we prove termination of abstraction refinement based verification and falsification of such properties for the class of robust non-linear hybrid systems, thus significantly extending previous semi-decidability results. We argue, that safety critical control applications are robust hybrid systems. We give first results on the application of this approach to a variant of an aircraft collision avoidance protocol.