{"title":"算术证明的命题表示(初版)","authors":"M. Dowd","doi":"10.1145/800133.804354","DOIUrl":null,"url":null,"abstract":"Equations f@@@@ = g@@@@ between polynomial time computable functions can be represented by sets of propositional formulas. If f@@@@ = g@@@@ is provable in certain arithmetic systems, then polynomial length proofs of the representing formulas exist in certain propositional systems. Two cases of this phenomenon and a general theory are given.","PeriodicalId":313820,"journal":{"name":"Proceedings of the tenth annual ACM symposium on Theory of computing","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1978-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Propositional representation of arithmetic proofs (Preliminary Version)\",\"authors\":\"M. Dowd\",\"doi\":\"10.1145/800133.804354\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Equations f@@@@ = g@@@@ between polynomial time computable functions can be represented by sets of propositional formulas. If f@@@@ = g@@@@ is provable in certain arithmetic systems, then polynomial length proofs of the representing formulas exist in certain propositional systems. Two cases of this phenomenon and a general theory are given.\",\"PeriodicalId\":313820,\"journal\":{\"name\":\"Proceedings of the tenth annual ACM symposium on Theory of computing\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1978-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the tenth annual ACM symposium on Theory of computing\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/800133.804354\",\"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 tenth annual ACM symposium on Theory of computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/800133.804354","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Propositional representation of arithmetic proofs (Preliminary Version)
Equations f@@@@ = g@@@@ between polynomial time computable functions can be represented by sets of propositional formulas. If f@@@@ = g@@@@ is provable in certain arithmetic systems, then polynomial length proofs of the representing formulas exist in certain propositional systems. Two cases of this phenomenon and a general theory are given.