@techreport{atr16, author = {Ralf Wimmer and Holger Hermanns and Marc Herbstritt and Bernd Becker}, title = {{Towards Symbolic Stochastic Aggregation}}, editor = {Bernd Becker and Werner Damm and Martin Fr{\"a}nzle and Ernst-R{\"u}diger Olderog and Andreas Podelski and Reinhard Wilhelm}, subproject = {S3}, year = {2007}, month = aug, type = {Reports of SFB/TR 14 AVACS}, series = {ATR}, number = 16, note = {ISSN: 1860-9821, {\tt http://www.avacs.org}}, access = {open}, abstract = { Bisimulations are one of the classical means to fight the state explosion problem. Especially in combination with symbolic methods, like BDD-based data representation and algorithms that exploit the compact BDD representation, they enable the minimization of very large state spaces without losing relevant properties. In this report, we show how a symbolic algorithm, that was originally developed for non-stochastic systems, can be extended to compute strong and branching bisimulations on interactive Markov chains (IMCs). An IMC is a very general model that combines the stochastic behavior of traditional Markov chains with action-labeled transition systems. To the best of our knowledge, our suggested algorithm is the first symbolic algorithm for both stochastic \emph{strong} bisimulation and stochastic \emph{branching} bisimulation on IMCs. }, }