Modeling Instability in a New Framework of Interval Valued Process Algebra

We present a new setting of interval valued CCS (ICCS(is), for short) to model the probabilistic phenomenon and instability in concurrency and interactive systems. This model is an extension of probabilistic CCS, which is deriving from Milner's standard CCS. In this model, an interval value x = [n,p](n <= p) is assigned to each components of a summation, where n can be viewed as the necessity degree with which one action is performed, and p the possibility degree. Then u = 1 - n/p stands for the instability of the system with respect to a certain action. We introduce the syntax and operational semantics of ICCS(is), and give the notion of strong bisimulation and v-strong bisimulation over ICCS(is). Some important properties of these two bisimulations are investigated.