Temporal linear logic specifications for concurrent processes

Abstract

The aim of the paper is to develop comprehensive logical systems capable of handling both resource-sensitive and time-dependent properties of concurrent processes. As a language for specifying such properties, we introduce 'temporal linear logic' (TLL) an extension of linear logic with certain features of temporal logic. A semantic setting for TLL is given in terms of 'time-state universes'. TLL is proved to be fully adequate for 'time-state' concurrency models.