Parametric real-time reasoning
STOC '93 Proceedings of the twenty-fifth annual ACM symposium on Theory of computing
Theoretical Computer Science
What's decidable about hybrid automata?
STOC '95 Proceedings of the twenty-seventh annual ACM symposium on Theory of computing
Hybrid Systems I
Hybrid Systems II
Dynamical Properties of Timed Automata
FTRTFT '98 Proceedings of the 5th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems
HART '97 Proceedings of the International Workshop on Hybrid and Real-Time Systems
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
RTSS '95 Proceedings of the 16th IEEE Real-Time Systems Symposium
Perturbed Turing Machines and Hybrid Systems
LICS '01 Proceedings of the 16th Annual IEEE Symposium on Logic in Computer Science
Information flow in hybrid systems
ACM Transactions on Embedded Computing Systems (TECS)
Journal of Computer and System Sciences
Continuity and computability of reachable sets
Theoretical Computer Science
Taylor approximation for hybrid systems
Information and Computation
Successive Abstractions of Hybrid Automata for Monotonic CTL Model Checking
LFCS '07 Proceedings of the international symposium on Logical Foundations of Computer Science
Expressive power of hybrid systems with real variables, integer variables and arrays
Journal of Automata, Languages and Combinatorics
Approximated Reachability on Hybrid Automata: Falsification meets Certification
Electronic Notes in Theoretical Computer Science (ENTCS)
A Uniform Approach to Three-Valued Semantics for μ-Calculus on Abstractions of Hybrid Automata
HVC '08 Proceedings of the 4th International Haifa Verification Conference on Hardware and Software: Verification and Testing
Property Driven Three-Valued Model Checking on Hybrid Automata
WoLLIC '09 Proceedings of the 16th International Workshop on Logic, Language, Information and Computation
From synchronous programs to symbolic representations of hybrid systems
Proceedings of the 13th ACM international conference on Hybrid systems: computation and control
Algebraic systems biology: theses and hypotheses
AB'07 Proceedings of the 2nd international conference on Algebraic biology
ATVA'05 Proceedings of the Third international conference on Automated Technology for Verification and Analysis
ATVA'05 Proceedings of the Third international conference on Automated Technology for Verification and Analysis
Taylor approximation for hybrid systems
HSCC'05 Proceedings of the 8th international conference on Hybrid Systems: computation and control
A robust interpretation of duration calculus
ICTAC'05 Proceedings of the Second international conference on Theoretical Aspects of Computing
Safety verification of non-linear hybrid systems is quasi-decidable
Formal Methods in System Design
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Hybrid automata have been introduced in both control engineering and computer science as a formal model for the dynamics of hybrid discrete-continuous systems. While computability issues concerning safety properties have been extensively studied, liveness properties have remained largely uninvestigated. In this article, we investigate decidability of state recurrence and of progress properties.First, we show that state recurrence and progress are in general undecidable for polynomial hybrid automata. Then, we demonstrate that they are closely related for hybrid automata subject to a simple model of noise, even though these automata are infinite-state systems. Based on this, we augment a semi-decision procedure for recurrence with a semidecision method for length-boundedness of paths in such a way that we obtain an automatic verification method for progress properties of linear and polynomial hybrid automata that may only fail on pathological, practically uninteresting cases. These cases are such that satisfaction of the desired progress property crucially depends on the complete absence of noise, a situation unlikely to occur in real hybrid systems.