{"title":"确定无上下文语法与1个字母的终端字母的不等价性是完全的","authors":"Thiet-Dung Huynh","doi":"10.1109/SFCS.1982.65","DOIUrl":null,"url":null,"abstract":"This paper deals with the complexity of context-free grammars with 1-1etter terminal alphabet. We study the complexity of the membership problem and the inequivalence problem. We show that the first problem is NP-complete and the second one is Σ2p- complete with respect to log-space reduction. The second result also implies that the inequivalence problem is in PSPACE, solving an open problem stated in [3] by Hunt III, Rosenkrantz and Szymanski.","PeriodicalId":127919,"journal":{"name":"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)","volume":"57 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1982-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"14","resultStr":"{\"title\":\"Deciding the inequivalence of context-free grammars with 1-letter terminal alphabet is S2p-complete\",\"authors\":\"Thiet-Dung Huynh\",\"doi\":\"10.1109/SFCS.1982.65\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper deals with the complexity of context-free grammars with 1-1etter terminal alphabet. We study the complexity of the membership problem and the inequivalence problem. We show that the first problem is NP-complete and the second one is Σ2p- complete with respect to log-space reduction. The second result also implies that the inequivalence problem is in PSPACE, solving an open problem stated in [3] by Hunt III, Rosenkrantz and Szymanski.\",\"PeriodicalId\":127919,\"journal\":{\"name\":\"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)\",\"volume\":\"57 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1982-11-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"14\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SFCS.1982.65\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"23rd Annual Symposium on Foundations of Computer Science (sfcs 1982)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SFCS.1982.65","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Deciding the inequivalence of context-free grammars with 1-letter terminal alphabet is S2p-complete
This paper deals with the complexity of context-free grammars with 1-1etter terminal alphabet. We study the complexity of the membership problem and the inequivalence problem. We show that the first problem is NP-complete and the second one is Σ2p- complete with respect to log-space reduction. The second result also implies that the inequivalence problem is in PSPACE, solving an open problem stated in [3] by Hunt III, Rosenkrantz and Szymanski.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
