{"title":"两个证明游戏的平行重复(邀请调查)","authors":"R. Raz","doi":"10.1109/CCC.2010.9","DOIUrl":null,"url":null,"abstract":"The parallel repetition theorem states that for any two-prover game with value smaller than 1, parallel repetition reduces the value of the game in an exponential rate. We give a short introduction to the problem of parallel repetition of two-prover games and some of its applications in theoretical computer science, mathematics and physics. We will concentrate mainly on recent results.","PeriodicalId":328781,"journal":{"name":"2010 IEEE 25th Annual Conference on Computational Complexity","volume":"100 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Parallel Repetition of Two Prover Games (Invited Survey)\",\"authors\":\"R. Raz\",\"doi\":\"10.1109/CCC.2010.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The parallel repetition theorem states that for any two-prover game with value smaller than 1, parallel repetition reduces the value of the game in an exponential rate. We give a short introduction to the problem of parallel repetition of two-prover games and some of its applications in theoretical computer science, mathematics and physics. We will concentrate mainly on recent results.\",\"PeriodicalId\":328781,\"journal\":{\"name\":\"2010 IEEE 25th Annual Conference on Computational Complexity\",\"volume\":\"100 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-06-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2010 IEEE 25th Annual Conference on Computational Complexity\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CCC.2010.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 IEEE 25th Annual Conference on Computational Complexity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCC.2010.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Parallel Repetition of Two Prover Games (Invited Survey)
The parallel repetition theorem states that for any two-prover game with value smaller than 1, parallel repetition reduces the value of the game in an exponential rate. We give a short introduction to the problem of parallel repetition of two-prover games and some of its applications in theoretical computer science, mathematics and physics. We will concentrate mainly on recent results.