Specifying real-time properties with metric temporal logic
Real-Time Systems
The benefits of relaxing punctuality
PODC '91 Proceedings of the tenth annual ACM symposium on Principles of distributed computing
Handbook of theoretical computer science (vol. B)
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Model checking
Reasoning about Robot Actions: A Model Checking Approach
Revised Papers from the International Seminar on Advances in Plan-Based Control of Robotic Agents,
Real-time Property Preservation in Approximations of Timed Systems
MEMOCODE '03 Proceedings of the First ACM and IEEE International Conference on Formal Methods and Models for Co-Design
Monitoring Programs Using Rewriting
Proceedings of the 16th IEEE international conference on Automated software engineering
Proving properties of continuous systems: qualitative simulation andtemporal logic
Proving properties of continuous systems: qualitative simulation andtemporal logic
Convex Optimization
On the Decidability of Metric Temporal Logic
LICS '05 Proceedings of the 20th Annual IEEE Symposium on Logic in Computer Science
Monitoring Algorithms for Metric Temporal Logic Specifications
Electronic Notes in Theoretical Computer Science (ENTCS)
On systematic simulation of open continuous systems
HSCC'03 Proceedings of the 6th international conference on Hybrid systems: computation and control
HSCC'06 Proceedings of the 9th international conference on Hybrid Systems: computation and control
Quantifying similarities between timed systems
FORMATS'05 Proceedings of the Third international conference on Formal Modeling and Analysis of Timed Systems
Temporal logic verification using simulation
FORMATS'06 Proceedings of the 4th international conference on Formal Modeling and Analysis of Timed Systems
CMSB '08 Proceedings of the 6th International Conference on Computational Methods in Systems Biology
Robustness of temporal logic specifications for continuous-time signals
Theoretical Computer Science
MTL robust testing and verification for LPV systems
ACC'09 Proceedings of the 2009 conference on American Control Conference
Hierarchical synthesis of hybrid controllers from temporal logic specifications
HSCC'07 Proceedings of the 10th international conference on Hybrid systems: computation and control
Robust sampling for MITL specifications
FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
Proceedings of the 14th international conference on Hybrid systems: computation and control
Pre-orders for reasoning about stability
Proceedings of the 15th ACM international conference on Hybrid Systems: Computation and Control
CLSE: closed-loop symbolic execution
NFM'12 Proceedings of the 4th international conference on NASA Formal Methods
Hi-index | 0.00 |
In this paper, we consider the robust interpretation of metric temporal logic (MTL) formulas over timed sequences of states. For systems whose states are equipped with nontrivial metrics, such as continuous, hybrid, or general metric transition systems, robustness is not only natural, but also a critical measure of system performance. In this paper, we define robust, multi-valued semantics for MTL formulas, which capture not only the usual Boolean satisfiability of the formula, but also topological information regarding the distance, ε, from unsatisfiability. We prove that any other timed trace which remains ε-close to the initial one also satisfies the same MTL specification with the usual Boolean semantics. We derive a computational procedure for determining an under-approximation to the robustness degree ε of the specification with respect to a given finite timed state sequence. Our approach can be used for robust system simulation and testing, as well as form the basis for simulation-based verification.