Containing of Regular Languages in Non-Regular Timing Diagram Languages is Decidable

Parametric timing constraints are expressed naturally in timing diagram logics. Algorithmic verification of parametrically constrained timing properties is a difficult problem known to be undecidable in most general cases. This paper establishes that a class of parametrically constrained timing properties can be verified algorithmically against finite-state systems; alternatively stated containment by a regular language is shown decidable for a class of language properties (regular and non-regular) expressible in our timing diagram logic.