{"title":"《庞氏微积分》和《吉拉德的两个译本》","authors":"Giulio Guerrieri, Giulio Manzonetto","doi":"10.4204/EPTCS.292.2","DOIUrl":null,"url":null,"abstract":"We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.","PeriodicalId":10720,"journal":{"name":"CoRR","volume":"177 1","pages":"15-30"},"PeriodicalIF":0.0000,"publicationDate":"2019-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"27","resultStr":"{\"title\":\"The Bang Calculus and the Two Girard's Translations\",\"authors\":\"Giulio Guerrieri, Giulio Manzonetto\",\"doi\":\"10.4204/EPTCS.292.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.\",\"PeriodicalId\":10720,\"journal\":{\"name\":\"CoRR\",\"volume\":\"177 1\",\"pages\":\"15-30\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"27\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"CoRR\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.4204/EPTCS.292.2\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"CoRR","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.4204/EPTCS.292.2","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Bang Calculus and the Two Girard's Translations
We study the two Girard's translations of intuitionistic implication into linear logic by exploiting the bang calculus, a paradigmatic functional language with an explicit box-operator that allows both call-by-name and call-by-value lambda-calculi to be encoded in. We investigate how the bang calculus subsumes both call-by-name and call-by-value lambda-calculi from a syntactic and a semantic viewpoint.
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