Journal of the ACM (JACM)
On the power of bounded concurrency I: finite automata
Journal of the ACM (JACM)
Model-checking in dense real-time
Information and Computation - Special issue: selections from 1990 IEEE symposium on logic in computer science
Theoretical Computer Science
The algorithmic analysis of hybrid systems
Theoretical Computer Science - Special issue on hybrid systems
Metric temporal logic with durations
Theoretical Computer Science - Special issue on hybrid systems
The benefits of relaxing punctuality
Journal of the ACM (JACM)
Event-clock automata: a determinizable class of timed automata
Theoretical Computer Science
Constructing automata from temporal logic formulas: a tutorial
Lectures on formal methods and performance analysis
Modular and Visual Specification of Hybrid Systems: An Introduction to HyCharts
Formal Methods in System Design
From Timed Automata to Logic - and Back
MFCS '95 Proceedings of the 20th International Symposium on Mathematical Foundations of Computer Science
Timed Automata with Monotonic Activities
MFCS '00 Proceedings of the 25th International Symposium on Mathematical Foundations of Computer Science
What Will Be Eventually True of Polynomial Hybrid Automata?
TACS '01 Proceedings of the 4th International Symposium on Theoretical Aspects of Computer Software
Parametric Temporal Logic for "Model Measuring"
ICAL '99 Proceedings of the 26th International Colloquium on Automata, Languages and Programming
Symbolic Model Checking for Rectangular Hybrid Systems
TACAS '00 Proceedings of the 6th International Conference on Tools and Algorithms for Construction and Analysis of Systems: Held as Part of the European Joint Conferences on the Theory and Practice of Software, ETAPS 2000
Durations, Parametric Model-Checking in Timed Automata with Presburger Arithmetic
STACS '03 Proceedings of the 20th Annual Symposium on Theoretical Aspects of Computer Science
The Impressive Power of Stopwatches
CONCUR '00 Proceedings of the 11th International Conference on Concurrency Theory
A New Class of Decidable Hybrid Systems
HSCC '99 Proceedings of the Second International Workshop on Hybrid Systems: Computation and Control
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
Modular Specification of Hybrid Systems in CHARON
HSCC '00 Proceedings of the Third International Workshop on Hybrid Systems: Computation and Control
Theoretical Computer Science
Algorithmic Algebraic Model Checking III: Approximate Methods
Electronic Notes in Theoretical Computer Science (ENTCS)
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Many physical events assume values that can be represented with functions that are monotonic with respect to time passing. This paper defines the class of Monotonic Hybrid Systems, namely Hybrid Systems where activities and assignments are monotonic functions. On the basis that, among Hybrid Systems, Integrator Systems (which are Hybrid Systems equipped with stopwatches) are the most expressive of the classes with a linear evolution law, and that Timed Systems (which are Hybrid Systems equipped with clocks) enjoy most of the decidable properties required, we compare Monotonic Hybrid Systems with the above classes, with respect to decidability, expressiveness and succinctness. We show that a subclass of Monotonic Hybrid Systems is equivalent to Integrator Systems and Timed Systems with discrete time assumption, but that it strictly contains them when assuming dense time. This has practical consequences both in the discrete and dense context when symbolic verification is not possible. We also show that Monotonic Hybrid Systems allow more succinct descriptions than those of Integrator and Timed Systems. This result shows that not only hierarchy, non-determinism and communication, as already noticed in Alur et al. (Proceedings of the HSCC 00, Lecture Notes in Computer Science, Springer, Berlin, 2000, pp. 6-19) and Grosu and Stauner (Formal Methods System Design) 21 (2002) 5), have an impact on succinctness, but also the shape of functions used in descriptions does. For a subclass of Monotonic Hybrid Systems for which reachability is decidable if the functions used are computable, we consider both the problem of verifying properties written in a suitable logic and also the relationship between dense time and discrete time assumptions in the framework of verification. The formalism and the results are illustrated by some examples.