{"title":"关于ACC(电路复杂度)","authors":"R. Beigel, J. Tarui","doi":"10.1109/SFCS.1991.185449","DOIUrl":null,"url":null,"abstract":"It has been shown by A. Yao (1990) that every language in ACC is recognized by a sequence of depth-2 probabilistic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog (n) at the leaves. The authors simplify Yao's proof and strengthen his results: every language in ACC is recognized by a sequence of depth-2 deterministic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog(n) at the leaves. They also analyze and improve modulus-amplifying polynomials constructed by S. Toda (1989) and Yao: this yields smaller circuits in Yao's and the present results on ACC.<<ETX>>","PeriodicalId":320781,"journal":{"name":"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"24","resultStr":"{\"title\":\"On ACC (circuit complexity)\",\"authors\":\"R. Beigel, J. Tarui\",\"doi\":\"10.1109/SFCS.1991.185449\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It has been shown by A. Yao (1990) that every language in ACC is recognized by a sequence of depth-2 probabilistic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog (n) at the leaves. The authors simplify Yao's proof and strengthen his results: every language in ACC is recognized by a sequence of depth-2 deterministic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog(n) at the leaves. They also analyze and improve modulus-amplifying polynomials constructed by S. Toda (1989) and Yao: this yields smaller circuits in Yao's and the present results on ACC.<<ETX>>\",\"PeriodicalId\":320781,\"journal\":{\"name\":\"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"24\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFCS.1991.185449\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1991.185449","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 24
摘要
a . Yao(1990)已经证明，ACC中的每种语言都是通过深度为2的概率电路序列来识别的，这些电路在根处具有对称门，在叶处具有n/sup polylog/(n)扇入polylog (n)的与门。作者简化了Yao的证明并加强了他的结果:ACC中的每种语言都被一个深度为2的确定性电路序列识别，该电路在根处具有对称门，在叶处具有n/sup polylog/(n)与扇入(n) polylog的门。他们还分析和改进了S. Toda(1989)和Yao构造的模放大多项式:这在Yao的电路和ACC上产生了更小的电路。
It has been shown by A. Yao (1990) that every language in ACC is recognized by a sequence of depth-2 probabilistic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog (n) at the leaves. The authors simplify Yao's proof and strengthen his results: every language in ACC is recognized by a sequence of depth-2 deterministic circuits with a symmetric gate at the root and n/sup polylog/(n) AND gates of fan-in polylog(n) at the leaves. They also analyze and improve modulus-amplifying polynomials constructed by S. Toda (1989) and Yao: this yields smaller circuits in Yao's and the present results on ACC.<>
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
![[1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science](/Content/css/sci/img/zetp.jpg)
求助内容：
应助结果提醒方式：
扫码关注我们
