Article ID Journal Published Year Pages File Type
428055 Information Processing Letters 2009 4 Pages PDF
Abstract

This paper first proves that each minimal siphon in a weakly persistent net is a trap if its pre-set is nonempty. Therefore, each minimal siphon contains a marked trap if a weakly persistent net is live for an initial marking. Next, it is proved that the condition, each minimal siphon contains a marked trap, is both necessary and sufficient for the liveness of weakly persistent nets if these nets additionally satisfy the asymmetric choice property or the intrinsic fairness.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics