{"title":"不完全信息六值逻辑的一种证明方法","authors":"S. Akama","doi":"10.1109/ISMVL.1997.601401","DOIUrl":null,"url":null,"abstract":"O. Garcia and M. Moussavi (1990) proposed a six-valued logic to model incomplete information. Although their logic is promising, it lacks a proof theory to serve as a basis for automated reasoning. We describe a sequent style proof method for the logic and show that the consequence relation in the logic is equivalent to the one by N.D. Belnap's (1977) four-valued logic. We also suggest alternative formal interpretations for the logic.","PeriodicalId":206024,"journal":{"name":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","volume":"63 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"A proof method for the six-valued logic for incomplete information\",\"authors\":\"S. Akama\",\"doi\":\"10.1109/ISMVL.1997.601401\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"O. Garcia and M. Moussavi (1990) proposed a six-valued logic to model incomplete information. Although their logic is promising, it lacks a proof theory to serve as a basis for automated reasoning. We describe a sequent style proof method for the logic and show that the consequence relation in the logic is equivalent to the one by N.D. Belnap's (1977) four-valued logic. We also suggest alternative formal interpretations for the logic.\",\"PeriodicalId\":206024,\"journal\":{\"name\":\"Proceedings 1997 27th International Symposium on Multiple- Valued Logic\",\"volume\":\"63 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-05-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 1997 27th International Symposium on Multiple- Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.1997.601401\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 1997 27th International Symposium on Multiple- Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.1997.601401","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
摘要
O. Garcia和M. Moussavi(1990)提出了一个六值逻辑来建模不完全信息。虽然他们的逻辑很有希望，但它缺乏一个证明理论来作为自动推理的基础。我们描述了该逻辑的一种序列式证明方法，并证明了该逻辑中的推论关系等价于N.D. Belnap(1977)的四值逻辑中的推论关系。我们还建议对逻辑的其他形式解释。
A proof method for the six-valued logic for incomplete information
O. Garcia and M. Moussavi (1990) proposed a six-valued logic to model incomplete information. Although their logic is promising, it lacks a proof theory to serve as a basis for automated reasoning. We describe a sequent style proof method for the logic and show that the consequence relation in the logic is equivalent to the one by N.D. Belnap's (1977) four-valued logic. We also suggest alternative formal interpretations for the logic.
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