{"title":"共识减半是ppa完成的","authors":"Aris Filos-Ratsikas, P. Goldberg","doi":"10.1145/3188745.3188880","DOIUrl":null,"url":null,"abstract":"We show that the computational problem Consensus Halving is PPA-Complete, the first PPA-Completeness result for a problem whose definition does not involve an explicit circuit. We also show that an approximate version of this problem is polynomial-time equivalent to Necklace Splitting, which establishes PPAD-hardness for Necklace Splitting and suggests that it is also PPA-Complete.","PeriodicalId":20593,"journal":{"name":"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"39","resultStr":"{\"title\":\"Consensus halving is PPA-complete\",\"authors\":\"Aris Filos-Ratsikas, P. Goldberg\",\"doi\":\"10.1145/3188745.3188880\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We show that the computational problem Consensus Halving is PPA-Complete, the first PPA-Completeness result for a problem whose definition does not involve an explicit circuit. We also show that an approximate version of this problem is polynomial-time equivalent to Necklace Splitting, which establishes PPAD-hardness for Necklace Splitting and suggests that it is also PPA-Complete.\",\"PeriodicalId\":20593,\"journal\":{\"name\":\"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-11-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"39\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 50th Annual ACM SIGACT Symposium on Theory of Computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/3188745.3188880\",\"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 the 50th Annual ACM SIGACT Symposium on Theory of Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3188745.3188880","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We show that the computational problem Consensus Halving is PPA-Complete, the first PPA-Completeness result for a problem whose definition does not involve an explicit circuit. We also show that an approximate version of this problem is polynomial-time equivalent to Necklace Splitting, which establishes PPAD-hardness for Necklace Splitting and suggests that it is also PPA-Complete.
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