{"title":"乘法证明网的正确性是线性的","authors":"S. Guerrini","doi":"10.1109/LICS.1999.782640","DOIUrl":null,"url":null,"abstract":"We reformulate Danos contractibility criterion in terms of a sort of unification. As for term unification, a direct implementation of the unification criterion leads to a quasi-linear algorithm. Linearity is obtained after observing that the disjoint-set union-find at the core of the unification criterion is a special case of union-find with a real linear time solution.","PeriodicalId":352531,"journal":{"name":"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","volume":"54 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"60","resultStr":"{\"title\":\"Correctness of multiplicative proof nets is linear\",\"authors\":\"S. Guerrini\",\"doi\":\"10.1109/LICS.1999.782640\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We reformulate Danos contractibility criterion in terms of a sort of unification. As for term unification, a direct implementation of the unification criterion leads to a quasi-linear algorithm. Linearity is obtained after observing that the disjoint-set union-find at the core of the unification criterion is a special case of union-find with a real linear time solution.\",\"PeriodicalId\":352531,\"journal\":{\"name\":\"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)\",\"volume\":\"54 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1999-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"60\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/LICS.1999.782640\",\"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. 14th Symposium on Logic in Computer Science (Cat. No. PR00158)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LICS.1999.782640","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Correctness of multiplicative proof nets is linear
We reformulate Danos contractibility criterion in terms of a sort of unification. As for term unification, a direct implementation of the unification criterion leads to a quasi-linear algorithm. Linearity is obtained after observing that the disjoint-set union-find at the core of the unification criterion is a special case of union-find with a real linear time solution.