Verifying the Evolution of Probability Distributions Governed by a DTMC

— We propose a new probabilistic temporal logic iLTL which captures properties of systems whose state can be represented by probability mass functions (pmf’s). Using iLTL, we can specify reachability to a state (i.e., a pmf), as well as properties representing the aggregate (expected) behavior of a system. We then consider a class of systems whose transitions are governed by a Markov Chain–in this case, the set of states a system may be in is specified by the transitions of pmf’s from all potential initial states to the final state. We then provide a model checking algorithm to check iLTL properties of such systems. Unlike existing model checking techniques, which either compute the portions of the computational paths that satisfy a specification, or evaluate properties along a single path of pmf transitions, our model checking technique enables us to do a complete analysis on the expected behaviors of large scale systems. Desirable system parameters may also be found as a c...

• Type: Journal
• Year: 2011
• Where: TSE
• Authors: YoungMin Kwon, Gul A. Agha
• Keywords: Model, Probability Distribution, Steady State Analysis, TSE 2011