eprintid: 2939 rev_number: 5 eprint_status: archive userid: 69 dir: disk0/00/00/29/39 datestamp: 2015-11-30 14:55:01 lastmod: 2015-11-30 14:55:01 status_changed: 2015-11-30 14:55:01 type: book_section metadata_visibility: show creators_name: Bernardo, Marco creators_name: De Nicola, Rocco creators_name: Loreti, Michele creators_id: creators_id: r.denicola@imtlucca.it creators_id: title: Group-by-Group Probabilistic Bisimilarities and Their Logical Characterizations ispublished: pub subjects: QA75 divisions: CSA full_text_status: none note: 8th International Symposium, TGC 2013, Buenos Aires, Argentina, August 30-31, 2013, Revised Selected Papers abstract: 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. date: 2014 date_type: published series: Lecture Notes in Computer Science number: 8358 publisher: Springer pagerange: 315-330 id_number: 10.1007/978-3-319-05119-2_18 refereed: TRUE isbn: 978-3-319-05118-5 book_title: Trustworthy Global Computing official_url: http://dx.doi.org/10.1007/978-3-319-05119-2_18 citation: Bernardo, Marco and De Nicola, Rocco and Loreti, Michele Group-by-Group Probabilistic Bisimilarities and Their Logical Characterizations. In: Trustworthy Global Computing. Lecture Notes in Computer Science (8358). Springer, pp. 315-330. ISBN 978-3-319-05118-5 (2014)