SoC based system developments commonly employ ESL design methodologies and utilize multiple levels of abstract models to provide feasibility study models for architects and development platforms for software engineers. Such models are evolving to finer abstract models as the development moves forward. The correctness of these models coupled with the ability of having a temporal debug environment to identify and fix model issues is critical for both hardware and software development efforts that make use of such models. This paper presents the mechanism to construct temporal assertions at models in various abstract levels and reuse the assertions on models at different abstract level.