{"title":"关于先验的三值模态逻辑Q","authors":"S. Akama, Y. Nagata","doi":"10.1109/ISMVL.2005.33","DOIUrl":null,"url":null,"abstract":"Prior proposed a three-valued modal logic Q as a \"correct\" modal logic from his philosophical motivations. Unfortunately, Prior's Q and many-valued modal logic have been neglected in the tradition of many-valued and modal logic. In this paper, we introduce a version of three-valued Kripke semantics for Q, which aims to establish Prior's ideas based on possible worlds. We investigate formal properties of Q and prove the completeness theorem of Q. We also compare our approach with others.","PeriodicalId":340578,"journal":{"name":"35th International Symposium on Multiple-Valued Logic (ISMVL'05)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2005-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"On Prior's three-valued modal logic Q\",\"authors\":\"S. Akama, Y. Nagata\",\"doi\":\"10.1109/ISMVL.2005.33\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Prior proposed a three-valued modal logic Q as a \\\"correct\\\" modal logic from his philosophical motivations. Unfortunately, Prior's Q and many-valued modal logic have been neglected in the tradition of many-valued and modal logic. In this paper, we introduce a version of three-valued Kripke semantics for Q, which aims to establish Prior's ideas based on possible worlds. We investigate formal properties of Q and prove the completeness theorem of Q. We also compare our approach with others.\",\"PeriodicalId\":340578,\"journal\":{\"name\":\"35th International Symposium on Multiple-Valued Logic (ISMVL'05)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-05-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"35th International Symposium on Multiple-Valued Logic (ISMVL'05)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2005.33\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"35th International Symposium on Multiple-Valued Logic (ISMVL'05)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2005.33","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Prior proposed a three-valued modal logic Q as a "correct" modal logic from his philosophical motivations. Unfortunately, Prior's Q and many-valued modal logic have been neglected in the tradition of many-valued and modal logic. In this paper, we introduce a version of three-valued Kripke semantics for Q, which aims to establish Prior's ideas based on possible worlds. We investigate formal properties of Q and prove the completeness theorem of Q. We also compare our approach with others.
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