eprintid: 1553 rev_number: 22 eprint_status: archive userid: 6 dir: disk0/00/00/15/53 datestamp: 2013-04-19 11:54:44 lastmod: 2014-03-10 10:42:41 status_changed: 2014-03-10 10:12:35 type: monograph 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: Revisiting bisimilarity and its modal logic for nondeterministic and probabilistic processes ispublished: pub subjects: QA75 divisions: CSA full_text_status: public monograph_type: imt_cs_techninal_report note: Updated on March 2014 abstract: We consider PML, the probabilistic version of Hennessy-Milner logic introduced by Larsen and Skou to characterize bisimilarity over probabilistic processes without internal nondeterminism.We provide two different interpretations for PML by considering nondeterministic and probabilistic processes as models, and we exhibit two new bisimulation-based equivalences that are in full agreement with those interpretations. Our new equivalences include as coarsest congruences the two bisimilarities for nondeterministic and probabilistic processes proposed by Segala and Lynch. The latter equivalences are instead in agreement with two versions of Hennessy-Milner logic extended with an additional probabilistic operator interpreted over state distributions rather than over individual states. Thus, our new interpretations of PML and the corresponding new bisimilarities offer a uniform framework for reasoning on processes that are purely nondeterministic or reactive probabilistic or are mixing nondeterminism and probability in an alternating/non-alternating way. date: 2013-04 date_type: published number: 06 publisher: IMT Institute for Advanced Studies Lucca pages: 40 institution: IMT Institute for Advanced Studies Lucca citation: Bernardo, Marco and De Nicola, Rocco and Loreti, Michele Revisiting bisimilarity and its modal logic for nondeterministic and probabilistic processes. CSA Technical Report #06/2013 IMT Institute for Advanced Studies Lucca document_url: http://eprints.imtlucca.it/1553/1/CSA_TR_2013_6.pdf