Dense Time Reasoning via Mosaics

In this paper we consider the problem of temporal reasoning over a real numbers model of time. After a quick survey of related logics such as those based on intervals,or metric information or rational numbers,we concentrate on using the Until and Since temporal connectives introduced in \cite{Kam68}.We will call this logic RTL.Although RTL has been axiomatized and is known to be decidable it has only recently been established that a PSPACE decision procedure exists.Thus, it is just as easy to reason over real-numbers time as over the traditional natural numbers model of time.The body of the paper outlines the basics of the novel temporal "mosaic" method used to show this complexity.

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