Distances for Weighted Transition Systems: Games and Properties

Uli Fahrenberg
(Irisa/INRIA Rennes)
Claus Thrane
(Aalborg University)
Kim G. Larsen
(Aalborg University)

We develop a general framework for reasoning about distances between transition systems with quantitative information. Taking as starting point an arbitrary distance on system traces, we show how this leads to natural definitions of a linear and a branching distance on states of such a transition system. We show that our framework generalizes and unifies a large variety of previously considered system distances, and we develop some general properties of our distances. We also show that if the trace distance admits a recursive characterization, then the corresponding branching distance can be obtained as a least fixed point to a similar recursive characterization. The central tool in our work is a theory of infinite path-building games with quantitative objectives.

In Mieke Massink and Gethin Norman: Proceedings Ninth Workshop on Quantitative Aspects of Programming Languages (QAPL 2011), Saarbrücken, Germany, April 1-3, 2011, Electronic Proceedings in Theoretical Computer Science 57, pp. 134–147.
Published: 4th July 2011.

ArXived at: http://dx.doi.org/10.4204/EPTCS.57.10 bibtex PDF
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