Article ID Journal Published Year Pages File Type
423916 Electronic Notes in Theoretical Computer Science 2006 18 Pages PDF
Abstract

This paper defines action-labelled quantitative transition systems as a general framework for combining qualitative and quantitative analysis. We define state-metrics as a natural extension of bisimulation from non-quantitative systems to quantitative ones. We then prove that any single state-metric corresponds to a bisimulation and that the greatest state-metric corresponds to bisimilarity. Furthermore, we provide two extended examples which show that our results apply to both probabilistic and weighted automata as special cases of action-labelled quantitative transition systems.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics