{"title":"Deciding All Behavioral Equivalences at Once: A Game for Linear-time-Branching-time Spectroscopy","authors":"Benjamin Bisping, U. Nestmann","doi":"10.46298/lmcs-18(3:19)2022","DOIUrl":null,"url":null,"abstract":"We introduce a generalization of the bisimulation game that finds\ndistinguishing Hennessy-Milner logic formulas from every finitary,\nsubformula-closed language in van Glabbeek's linear-time--branching-time\nspectrum between two finite-state processes. We identify the relevant\ndimensions that measure expressive power to yield formulas belonging to the\ncoarsest distinguishing behavioral preorders and equivalences; the compared\nprocesses are equivalent in each coarser behavioral equivalence from the\nspectrum. We prove that the induced algorithm can determine the best fit of\n(in)equivalences for a pair of processes.","PeriodicalId":314387,"journal":{"name":"Log. Methods Comput. Sci.","volume":"14 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Log. Methods Comput. Sci.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/lmcs-18(3:19)2022","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 5
Abstract
We introduce a generalization of the bisimulation game that finds
distinguishing Hennessy-Milner logic formulas from every finitary,
subformula-closed language in van Glabbeek's linear-time--branching-time
spectrum between two finite-state processes. We identify the relevant
dimensions that measure expressive power to yield formulas belonging to the
coarsest distinguishing behavioral preorders and equivalences; the compared
processes are equivalent in each coarser behavioral equivalence from the
spectrum. We prove that the induced algorithm can determine the best fit of
(in)equivalences for a pair of processes.