TRIO: A logic language for executable specifications of real-time systems
Journal of Systems and Software - On the role of language in programming
Specifying real-time properties with metric temporal logic
Real-Time Systems
A model parametric real-time logic
ACM Transactions on Programming Languages and Systems (TOPLAS)
The benefits of relaxing punctuality
Journal of the ACM (JACM)
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ACM Transactions on Software Engineering and Methodology (TOSEM)
Concrete Mathematics: A Foundation for Computer Science
Concrete Mathematics: A Foundation for Computer Science
ICALP '92 Proceedings of the 19th International Colloquium on Automata, Languages and Programming
Digitisation and Full Abstraction for Dense-Time Model Checking
TACAS '02 Proceedings of the 8th International Conference on Tools and Algorithms for the Construction and Analysis of Systems
On Discretization of Delays in Timed Automata and Digital Circuits
CONCUR '98 Proceedings of the 9th International Conference on Concurrency Theory
Sampling Semantics of Duration Calculus
FTRTFT '96 Proceedings of the 4th International Symposium on Formal Techniques in Real-Time and Fault-Tolerant Systems
Modelling Discrete Behaviour in a Continuous-Time Formalism
IFM '99 Proceedings of the 1st International Conference on Integrated Formal Methods
Revisiting Digitization, Robustness, and Decidability for Timed Automata
LICS '03 Proceedings of the 18th Annual IEEE Symposium on Logic in Computer Science
Almost ASAP semantics: from timed models to timed implementations
Formal Aspects of Computing
A Compositional Framework for Formally Verifying Modular Systems
Electronic Notes in Theoretical Computer Science (ENTCS)
Automated Verification of Dense-Time MTL Specifications Via Discrete-Time Approximation
FM '08 Proceedings of the 15th international symposium on Formal Methods
MTL with Bounded Variability: Decidability and Complexity
FORMATS '08 Proceedings of the 6th international conference on Formal Modeling and Analysis of Timed Systems
Practical Automated Partial Verification of Multi-paradigm Real-Time Models
ICFEM '08 Proceedings of the 10th International Conference on Formal Methods and Software Engineering
Robustness of temporal logic specifications for continuous-time signals
Theoretical Computer Science
Modeling time in computing: A taxonomy and a comparative survey
ACM Computing Surveys (CSUR)
Robust sampling for MITL specifications
FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
On the expressiveness of MTL variants over dense time
FORMATS'07 Proceedings of the 5th international conference on Formal modeling and analysis of timed systems
A theory of sampling for continuous-time metric temporal logic
ACM Transactions on Computational Logic (TOCL)
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Real-time systems usually encompass parts that are best described by a continuous-time model, such as physical processes under control, together with other components that are more naturally formalized by a discrete-time model, such as digital computing modules. Describing such systems in a unified framework based on metric temporal logic requires to integrate formulas which are interpreted over discrete and continuous time. In this paper, we tackle this problem with reference to the metric temporal logic TRIO, that admits both a discrete-time and a continuous-time semantics. We identify sufficient conditions under which TRIO formulas have a consistent truth value when moving from continuous-time to discrete-time interpretations, or vice versa. These conditions basically involve the restriction to a proper subset of the TRIO language and a requirement on the finite variability over time of the basic items in the specification formulas. We demonstrate the approach with an example of specification and verification.