Abstract State Spaces for Time Petri Nets Analysis

The paper is organized as follows. Section 2 reviews the terminology of time Petri nets and the definitions of their state spaces. The classical "state classes" construction, preserving markings and LTL properties, is explained in section 3, and its properties discussed. Section 4 explains the richer "strong state classes" abstraction, that allows in addition to decide state reachability properties. Section 5 discusses preservation of branching properties and explains the "atomic state classes" construction. Finally, section 7 discusses a number of related issues and recent results, including extensions of these methods to handle enriched classes of time Petri nets.