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[7-27]Real Reward Testing for Probabilistic Processes

Date:2010-07-23

Title:  Real Reward Testing for Probabilistic Processes
Speaker: Dr. DENG Yuxin
Shanghai Jiaotong University
Time:   3.00pm, Tuesday July 27
Venue:  Lecture room, Lab for Computer Science, Level 3 Building #5, Institute of Software, CAS

ABSTRACT:

We introduce a notion of real-valued reward testing for probabilistic processes by extending the traditional nonnegative reward testing with negative rewards. In this testing framework, the may and must preorders turn out to be inverses.  We show that for convergent processes with finitely many states and transitions, but not in the presence of divergence, the real reward must testing preorder coincides with the nonnegative reward must testing preorder. To prove this coincidence we characterise the usual resolution-based testing in terms of the weak transitions of processes, without involving policies, adversaries, schedulers, resolutions, or similar structures that are external to the process under investigation. This requires establishing the continuity of our function for calculating testing outcomes.

(Joint work with Rob van Glabbeek, Matthew Hennessy and Carroll Morgan)