FLOC 2018: FEDERATED LOGIC CONFERENCE 2018
The Compound Interest in Relaxing Punctuality

Author: Thomas Ferrère

Paper Information

Title:The Compound Interest in Relaxing Punctuality
Authors:Thomas Ferrère
Proceedings:FM FMComplete
Editors: Jan Peleska, Klaus Havelund and Bill Roscoe
Keywords:Regular Expressions, Dynamic Logic, Timed Systems, Formal Methods, Decidability
Abstract:

ABSTRACT. Imprecision in timing can sometimes be beneficial. Metric interval temporal logic (MITL), by 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.

Pages:17
Talk:Jul 15 16:30 (Session 107B)
Paper: