{"title":"NL/poly /spl sube/ /spl oplus/L/poly","authors":"A. Wigderson","doi":"10.1109/SCT.1994.315817","DOIUrl":null,"url":null,"abstract":"The article provides logspace analogs of the results of Valiant-Vazirani (L.G. Valiant and V.V. Vazirsni, 1986). We first show that solving STCONN for graphs with at most one st-path is essentially as hard as the general problem, via a probabilistic logspace reduction. We derive from it a nonuniform logspace reduction from NL to /spl oplus/L.<<ETX>>","PeriodicalId":386782,"journal":{"name":"Proceedings of IEEE 9th Annual Conference on Structure in Complexity Theory","volume":"6 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1994-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"25","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of IEEE 9th Annual Conference on Structure in Complexity Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SCT.1994.315817","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 25
Abstract
The article provides logspace analogs of the results of Valiant-Vazirani (L.G. Valiant and V.V. Vazirsni, 1986). We first show that solving STCONN for graphs with at most one st-path is essentially as hard as the general problem, via a probabilistic logspace reduction. We derive from it a nonuniform logspace reduction from NL to /spl oplus/L.<>