{"title":"带有命题量词的KD45","authors":"P. M. Dekker","doi":"10.12775/llp.2023.018","DOIUrl":null,"url":null,"abstract":"Steinsvold (2020) has provided two semantics for the basic modal language enriched with propositional quantifiers (∀p). We define an extension EM of the system KD45_{\\Box} and prove that EM is sound and complete for both semantics. It follows that the two semantics are equivalent.","PeriodicalId":43501,"journal":{"name":"Logic and Logical Philosophy","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"KD45 with Propositional Quantifiers\",\"authors\":\"P. M. Dekker\",\"doi\":\"10.12775/llp.2023.018\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Steinsvold (2020) has provided two semantics for the basic modal language enriched with propositional quantifiers (∀p). We define an extension EM of the system KD45_{\\\\Box} and prove that EM is sound and complete for both semantics. It follows that the two semantics are equivalent.\",\"PeriodicalId\":43501,\"journal\":{\"name\":\"Logic and Logical Philosophy\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2023-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Logic and Logical Philosophy\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12775/llp.2023.018\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Logic and Logical Philosophy","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12775/llp.2023.018","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
Steinsvold (2020) has provided two semantics for the basic modal language enriched with propositional quantifiers (∀p). We define an extension EM of the system KD45_{\Box} and prove that EM is sound and complete for both semantics. It follows that the two semantics are equivalent.
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