{"title":"可扩展演绎系统在数学推理中的作用","authors":"F. Brown","doi":"10.5555/3015508.3015516","DOIUrl":null,"url":null,"abstract":"We argue that significant improvement in deductive ability of automatic theorem provers presupposes the construction of deductive systems which make use of domain dependent mathematical knowledge and which can justify the results of using such knowledge in terms of the axioms of the given domain. We then briefly describe an implementation of a prototype deductive system of this nature for the domain of elementary set theory.","PeriodicalId":133823,"journal":{"name":"Artificial Intelligence and the Simulation of Behaviour","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1976-07-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Role of Extensible Deductive Systems in Mathematical Reasoning\",\"authors\":\"F. Brown\",\"doi\":\"10.5555/3015508.3015516\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We argue that significant improvement in deductive ability of automatic theorem provers presupposes the construction of deductive systems which make use of domain dependent mathematical knowledge and which can justify the results of using such knowledge in terms of the axioms of the given domain. We then briefly describe an implementation of a prototype deductive system of this nature for the domain of elementary set theory.\",\"PeriodicalId\":133823,\"journal\":{\"name\":\"Artificial Intelligence and the Simulation of Behaviour\",\"volume\":\"24 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1976-07-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Artificial Intelligence and the Simulation of Behaviour\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5555/3015508.3015516\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Artificial Intelligence and the Simulation of Behaviour","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5555/3015508.3015516","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Role of Extensible Deductive Systems in Mathematical Reasoning
We argue that significant improvement in deductive ability of automatic theorem provers presupposes the construction of deductive systems which make use of domain dependent mathematical knowledge and which can justify the results of using such knowledge in terms of the axioms of the given domain. We then briefly describe an implementation of a prototype deductive system of this nature for the domain of elementary set theory.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
