Theoretical Computer Science
Automatic verification of real-time systems with discrete probability distributions
Theoretical Computer Science
Checking Linear Duration Invariants by Linear Programming
ASIAN '96 Proceedings of the Second Asian Computing Science Conference on Concurrency and Parallelism, Programming, Networking, and Security
ProCoS Proceedings of the Third International Symposium Organized Jointly with the Working Group Provably Correct Systems on Formal Techniques in Real-Time and Fault-Tolerant Systems
Duration Calculus of Weakly Monotonic Time
FTRTFT '98 Proceedings of the 5th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems
Integration Graphs: A Class of Decidable Hybrid Systems
Hybrid Systems
On Checking Timed Automata for Linear Duration Invariants
RTSS '98 Proceedings of the IEEE Real-Time Systems Symposium
Duration Calculus: A Formal Approach to Real-Time Systems (Monographs in Theoretical Computer Science. an Eatcs Seris)
On Verification of Probabilistic Timed Automata against Probabilistic Duration Properties
RTCSA '07 Proceedings of the 13th IEEE International Conference on Embedded and Real-Time Computing Systems and Applications
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Duration Calculus of Weakly Monotonic Time (WDC) is an extension of DC to allow description of discrete processes where several steps of computation can occur at the same time point. In this paper, we introduce Linear Occurrence Invariants (LOI) using WDC and give an algorithm to check real-time automata for LOI by solving integer programming problems. LOI can be used effectively to specify system requirements in some cases including when the system is considered under the true synchrony assumption. We also extend WDC probabilistically to express dependability requirements of real-time systems and develop a technique to check deterministic probabilistic real-time automata for a class of probabilistic WDC formulas.