{"title":"pspace完备中基本并行过程的强双相似性","authors":"P. Jančar","doi":"10.1109/LICS.2003.1210061","DOIUrl":null,"url":null,"abstract":"The paper shows an algorithm which, given a basic parallel processes (BPP) system, constructs a set of linear mappings which characterize the (strong) bisimulation equivalence on the system. Though the number of the constructed mappings can be exponential, they can be generated in polynomial space; this shows that the problem of deciding bisimulation equivalence on BPP is in PSAPCE. Combining with the PSPACE-hardness result by Srba, PSPACE-completeness is thus established.","PeriodicalId":280809,"journal":{"name":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","volume":"5 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"71","resultStr":"{\"title\":\"Strong bisimilarity on basic parallel processes in PSPACE-complete\",\"authors\":\"P. Jančar\",\"doi\":\"10.1109/LICS.2003.1210061\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The paper shows an algorithm which, given a basic parallel processes (BPP) system, constructs a set of linear mappings which characterize the (strong) bisimulation equivalence on the system. Though the number of the constructed mappings can be exponential, they can be generated in polynomial space; this shows that the problem of deciding bisimulation equivalence on BPP is in PSAPCE. Combining with the PSPACE-hardness result by Srba, PSPACE-completeness is thus established.\",\"PeriodicalId\":280809,\"journal\":{\"name\":\"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.\",\"volume\":\"5 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-06-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"71\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LICS.2003.1210061\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"18th Annual IEEE Symposium of Logic in Computer Science, 2003. Proceedings.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.2003.1210061","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Strong bisimilarity on basic parallel processes in PSPACE-complete
The paper shows an algorithm which, given a basic parallel processes (BPP) system, constructs a set of linear mappings which characterize the (strong) bisimulation equivalence on the system. Though the number of the constructed mappings can be exponential, they can be generated in polynomial space; this shows that the problem of deciding bisimulation equivalence on BPP is in PSAPCE. Combining with the PSPACE-hardness result by Srba, PSPACE-completeness is thus established.