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LICS
2002
IEEE
13 years 9 months ago
The Metric Analogue of Weak Bisimulation for Probabilistic Processes
We observe that equivalence is not a robust concept in the presence of numerical information - such as probabilities - in the model. We develop a metric analogue of weak bisimulat...
Josee Desharnais, Radha Jagadeesan, Vineet Gupta, ...
CALCO
2009
Springer
150views Mathematics» more  CALCO 2009»
13 years 11 months ago
Approximating Labelled Markov Processes Again!
Abstract. Labelled Markov processes are continuous-state fully probabilistic labelled transition systems. They can be seen as co-algebras of a suitable monad on the category of mea...
Philippe Chaput, Vincent Danos, Prakash Panangaden...
LMCS
2006
98views more  LMCS 2006»
13 years 4 months ago
Approximate reasoning for real-time probabilistic processes
We develop a pseudo-metric analogue of bisimulation for generalized semi-Markov processes. The kernel of this pseudo-metric corresponds to bisimulation; thus we have extended bisi...
Vineet Gupta, Radha Jagadeesan, Prakash Panangaden
ENTCS
2007
126views more  ENTCS 2007»
13 years 4 months ago
Notes on Generative Probabilistic Bisimulation
In this notes we consider the model of Generative Probabilistic Transition Systems, and Baier and Hermanns’ notion of weak bisimulation defined over them. We prove that, if we ...
Simone Tini
CDC
2009
IEEE
173views Control Systems» more  CDC 2009»
13 years 9 months ago
A contractivity approach for probabilistic bisimulations of diffusion processes
— This work is concerned with the problem of characterizing and computing probabilistic bisimulations of diffusion processes. A probabilistic bisimulation relation between two su...
Alessandro Abate