TY - CHAP PB - Springer UR - http://dx.doi.org/10.1007/978-3-319-05119-2_18 A1 - Bernardo, Marco A1 - De Nicola, Rocco A1 - Loreti, Michele Y1 - 2014/// T2 - Trustworthy Global Computing SN - 978-3-319-05118-5 AV - none N1 - 8th International Symposium, TGC 2013, Buenos Aires, Argentina, August 30-31, 2013, Revised Selected Papers SP - 315 TI - Group-by-Group Probabilistic Bisimilarities and Their Logical Characterizations T3 - Lecture Notes in Computer Science N2 - We provide two interpretations, over nondeterministic and probabilistic processes, of PML, the probabilistic version of Hennessy-Milner logic used by Larsen and Skou to characterize bisimilarity of probabilistic processes without internal nondeterminism. We also exhibit two new bisimulation-based equivalences, which are in full agreement with the two different interpretations of PML. The new equivalences are coarser than the bisimilarity for nondeterministic and probabilistic processes proposed by Segala and Lynch, which instead is in agreement with a version of Hennessy-Milner logic extended with an additional probabilistic operator interpreted over state distributions rather than over individual states. The modal logic characterizations provided for the new equivalences thus offer a uniform framework for reasoning on purely nondeterministic processes, reactive probabilistic processes, and nondeterministic and probabilistic processes. ID - eprints2939 EP - 330 ER -