A theory of sampling for continuous-time metric temporal logic

Integrating Discrete- and Continuous-Time Metric Temporal Logics Through Sampling

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 ove...

Monitoring Dense-Time, Continuous-Semantics, Metric Temporal Logic

Metric and Layered Temporal Logic for Time Granularity

This dissertation is about the design of temporal logics that deal with changing timegranularities. Time granularity can be de ned as the resolution power of the temporalquali cation of a statement. Providing a formalism with the concept of time granularitymakes it possible to specify time information with respect to di erently-grained temporaldomains. This does not merely m...

Continuous time temporal logic with counting

We add to the standard temporal logic TL(U,S) a sequence of “counting modalities”: For each n the modality Cn(X), which says that X will be true at least at n points in the next unit of time, and its dual ←− C n, which says that X has happened n times in the last unit of time. We show that this temporal logic is expressively complete for the metric predicate logic Q2MLO, which is expressive, de...

Executing Metric Temporal Logic ?