{"title":"持续过渡系统的模态/spl mu/-演算","authors":"Helmut Seidl","doi":"10.1109/LICS.1996.561312","DOIUrl":null,"url":null,"abstract":"Durational transition systems are finite transition systems where every transition is additionally equipped with a duration. We consider the problem of interpreting /spl mu/-formulas over durational transition systems. In case the formula contains only operations minimum, maximum, addition, and sequencing, we show that the interpretation ist not only computable but (up to a linear factor) as efficiently computable as the interpretation of /spl mu/-formulas over ordinary finite transition systems.","PeriodicalId":382663,"journal":{"name":"Proceedings 11th Annual IEEE Symposium on Logic in Computer Science","volume":"12 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1996-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A modal /spl mu/-calculus for durational transition systems\",\"authors\":\"Helmut Seidl\",\"doi\":\"10.1109/LICS.1996.561312\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Durational transition systems are finite transition systems where every transition is additionally equipped with a duration. We consider the problem of interpreting /spl mu/-formulas over durational transition systems. In case the formula contains only operations minimum, maximum, addition, and sequencing, we show that the interpretation ist not only computable but (up to a linear factor) as efficiently computable as the interpretation of /spl mu/-formulas over ordinary finite transition systems.\",\"PeriodicalId\":382663,\"journal\":{\"name\":\"Proceedings 11th Annual IEEE Symposium on Logic in Computer Science\",\"volume\":\"12 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1996-07-27\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 11th Annual IEEE Symposium on Logic in Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LICS.1996.561312\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 11th Annual IEEE Symposium on Logic in Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1996.561312","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A modal /spl mu/-calculus for durational transition systems
Durational transition systems are finite transition systems where every transition is additionally equipped with a duration. We consider the problem of interpreting /spl mu/-formulas over durational transition systems. In case the formula contains only operations minimum, maximum, addition, and sequencing, we show that the interpretation ist not only computable but (up to a linear factor) as efficiently computable as the interpretation of /spl mu/-formulas over ordinary finite transition systems.