{"title":"定义HOL中的递归函数","authors":"W. Ploegaerts, L. Claesen, H. Man","doi":"10.1109/HOL.1991.596300","DOIUrl":null,"url":null,"abstract":"The limited support for defining recursive functions and generating induction schemes is a major shortcoming of the HOL system. In this paper, a theory of primitive recursive functions and a tool that minimizes the proof effort required for the definition of a wide class of primitive recursive functions are presented. Due to its jlezibility and degree of automation, this work offers a useful eztension of the HOL system.","PeriodicalId":213603,"journal":{"name":"1991., International Workshop on the HOL Theorem Proving System and Its Applications","volume":"66 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1991-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Defining Recursive Functions In HOL\",\"authors\":\"W. Ploegaerts, L. Claesen, H. Man\",\"doi\":\"10.1109/HOL.1991.596300\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The limited support for defining recursive functions and generating induction schemes is a major shortcoming of the HOL system. In this paper, a theory of primitive recursive functions and a tool that minimizes the proof effort required for the definition of a wide class of primitive recursive functions are presented. Due to its jlezibility and degree of automation, this work offers a useful eztension of the HOL system.\",\"PeriodicalId\":213603,\"journal\":{\"name\":\"1991., International Workshop on the HOL Theorem Proving System and Its Applications\",\"volume\":\"66 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1991-08-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"1991., International Workshop on the HOL Theorem Proving System and Its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/HOL.1991.596300\",\"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., International Workshop on the HOL Theorem Proving System and Its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HOL.1991.596300","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The limited support for defining recursive functions and generating induction schemes is a major shortcoming of the HOL system. In this paper, a theory of primitive recursive functions and a tool that minimizes the proof effort required for the definition of a wide class of primitive recursive functions are presented. Due to its jlezibility and degree of automation, this work offers a useful eztension of the HOL system.