{"title":"启发式时间层次","authors":"Konstantin Pervyshev","doi":"10.1109/CCC.2007.20","DOIUrl":null,"url":null,"abstract":"We study the existence of time hierarchies for heuristic algorithms. We prove that a time hierarchy exists for heuristic algorithms in such syntactic classes as NP and co-NP, and also in semantic classes AM and MA. Further, we present an alternative approach to proving time hierarchies for heuristic algorithms in BPP. This leads to a simpler proof than the one known before.","PeriodicalId":175854,"journal":{"name":"Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07)","volume":"92 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"On Heuristic Time Hierarchies\",\"authors\":\"Konstantin Pervyshev\",\"doi\":\"10.1109/CCC.2007.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the existence of time hierarchies for heuristic algorithms. We prove that a time hierarchy exists for heuristic algorithms in such syntactic classes as NP and co-NP, and also in semantic classes AM and MA. Further, we present an alternative approach to proving time hierarchies for heuristic algorithms in BPP. This leads to a simpler proof than the one known before.\",\"PeriodicalId\":175854,\"journal\":{\"name\":\"Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07)\",\"volume\":\"92 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-06-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCC.2007.20\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Twenty-Second Annual IEEE Conference on Computational Complexity (CCC'07)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCC.2007.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study the existence of time hierarchies for heuristic algorithms. We prove that a time hierarchy exists for heuristic algorithms in such syntactic classes as NP and co-NP, and also in semantic classes AM and MA. Further, we present an alternative approach to proving time hierarchies for heuristic algorithms in BPP. This leads to a simpler proof than the one known before.