A mean value calculus of durations
A classical mind
Theoretical Computer Science - Special issue on hybrid systems
Scheduling Algorithms for Multiprogramming in a Hard-Real-Time Environment
Journal of the ACM (JACM)
Specifying and Verifying Requirements of Real-Time Systems
IEEE Transactions on Software Engineering
A Hardware Semantics Based on Temporal Intervals
Proceedings of the 10th Colloquium on Automata, Languages and Programming
An Adequate First Order Interval Logic
COMPOS'97 Revised Lectures from the International Symposium on Compositionality: The Significant Difference
A Formal Proof of the Deadline Driven Scheduler
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
An Extended Duration Calculus for Hybrid Real-Time Systems
Hybrid Systems
FAC-RW'96 Proceedings of the BCS-FACS 7th conference on Refinement
Kleene, Rabin, and Scott are available
CONCUR'10 Proceedings of the 21st international conference on Concurrency theory
Hi-index | 0.00 |
The Duration Calculus (DC) represents a logical approach to formal design of real-time systems. DC is based on interval logic, and uses real numbers to model time, and Boolean-valued (i.e. 0, 1-valued) functions over time to model states of real-time systems. The duration of a state in a time interval is the accumulated presence time of the state in the interval. DC extends interval logic with a calculus to specify and reason about properties of state durations. The first paper of DC was published in 1991, and dozens of papers of DC have been published since then, which cover developments of logical calculi, their applications and mechanical support tools. This paper will give a brief introduction to DC and also an overview of the research of DC.