Expressiveness of Metric modalities for continuous time

Abstract

We prove a conjecture by A. Pnueli and strengthen it showing a sequence of “counting modalities” none of which is expressible in the temporal logic generated by the previous modalities, over the real line, or over the positive reals. Moreover, there is no finite temporal logic that can express all of them over the real line, so that no finite metric temporal logic is expressively complete.

DOI: 10.2168/LMCS-3(1:3)2007

Extracted Key Phrases

Cite this paper

@article{Hirshfeld2006ExpressivenessOM, title={Expressiveness of Metric modalities for continuous time}, author={Yoram Hirshfeld and Alexander Moshe Rabinovich}, journal={Logical Methods in Computer Science}, year={2006}, volume={3} }