Imprecision in timing can sometimes be beneficial: Metric interval temporal logic (MITL), disabling the expression of punctuality constraints, was shown to translate to timed automata, yielding an elementary decision procedure. We show how this principle extends to other forms of dense-time specification using regular expressions. By providing a clean, automaton-based formal framework for non-punctual languages, we are able to recover and extend several results in timed systems. Metric interval regular expressions (MIRE) are introduced, providing regular expressions with non-singular duration constraints. We obtain that MIRE are expressively complete relative to a class of one-clock timed automata, which can be determinized using additional clocks. Metric interval dynamic logic (MIDL) is then defined using MIRE as temporal modalities. We show that MIDL generalizes known extensions of MITL, while translating to timed automata at comparable cost.
147 - 164
FM: International Symposium on Formal Methods
2018-07-15 – 2018-07-17
Ferrere T. The compound interest in relaxing punctuality. In: Vol 10951. Springer; 2018:147-164. doi:10.1007/978-3-319-95582-7_9
Ferrere, T. (2018). The compound interest in relaxing punctuality (Vol. 10951, pp. 147–164). Presented at the FM: International Symposium on Formal Methods, Oxford, UK: Springer. https://doi.org/10.1007/978-3-319-95582-7_9
Ferrere, Thomas. “The Compound Interest in Relaxing Punctuality,” 10951:147–64. Springer, 2018. https://doi.org/10.1007/978-3-319-95582-7_9.
T. Ferrere, “The compound interest in relaxing punctuality,” presented at the FM: International Symposium on Formal Methods, Oxford, UK, 2018, vol. 10951, pp. 147–164.
Ferrere T. 2018. The compound interest in relaxing punctuality. FM: International Symposium on Formal Methods, LNCS, vol. 10951, 147–164.
Ferrere, Thomas. The Compound Interest in Relaxing Punctuality. Vol. 10951, Springer, 2018, pp. 147–64, doi:10.1007/978-3-319-95582-7_9.