{"title":"DSPACE(n)=?NSPACE(n):度理论表征","authors":"Manindra Agrawal","doi":"10.1109/SCT.1995.514869","DOIUrl":null,"url":null,"abstract":"It is shown that the following are equivalent: 1. DSPACE(n)=NSPACE(n). 2. There is a /spl les//sub m//sup 1-NL/-degree that coincides with a /spl les//sub m//sup 1-L/ degree. 3. For every class C closed under logspace reductions the /spl les//sub m//sup 1-NL/-complete degree of C coincides with the /spl les//sub m//sup 1-L/-complete degree of C.","PeriodicalId":318382,"journal":{"name":"Proceedings of Structure in Complexity Theory. Tenth Annual IEEE Conference","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"DSPACE(n)=?NSPACE(n): a degree theoretic characterization\",\"authors\":\"Manindra Agrawal\",\"doi\":\"10.1109/SCT.1995.514869\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the following are equivalent: 1. DSPACE(n)=NSPACE(n). 2. There is a /spl les//sub m//sup 1-NL/-degree that coincides with a /spl les//sub m//sup 1-L/ degree. 3. For every class C closed under logspace reductions the /spl les//sub m//sup 1-NL/-complete degree of C coincides with the /spl les//sub m//sup 1-L/-complete degree of C.\",\"PeriodicalId\":318382,\"journal\":{\"name\":\"Proceedings of Structure in Complexity Theory. Tenth Annual IEEE Conference\",\"volume\":\"18 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-06-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of Structure in Complexity Theory. Tenth Annual IEEE Conference\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SCT.1995.514869\",\"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 of Structure in Complexity Theory. Tenth Annual IEEE Conference","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCT.1995.514869","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
DSPACE(n)=?NSPACE(n): a degree theoretic characterization
It is shown that the following are equivalent: 1. DSPACE(n)=NSPACE(n). 2. There is a /spl les//sub m//sup 1-NL/-degree that coincides with a /spl les//sub m//sup 1-L/ degree. 3. For every class C closed under logspace reductions the /spl les//sub m//sup 1-NL/-complete degree of C coincides with the /spl les//sub m//sup 1-L/-complete degree of C.