Distances for Weighted Transition Systems: Games and Properties

Uli Fahrenberg (1) , Claus Thrane (2) , Kim Guldstrand Larsen (2)

1 ESTASYS - Efficient STAtistical methods in SYstems of systems
2 CISS - Center for Indlejrede Software Systemer

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.

Domaines: Informatique [cs]; Théorie et langage formel [cs.FL]

Uli Fahrenberg, Claus Thrane, Kim Guldstrand Larsen. Distances for Weighted Transition Systems: Games and Properties. QAPL, Apr 2011, Saarbrücken, Germany. pp.134 - 147, ⟨10.4204/EPTCS.57.10⟩. ⟨hal-01088053⟩