{"title":"有限时宽的幂与模态逻辑的正则性","authors":"ROBERT GOLDBLATT, IAN HODKINSON","doi":"10.1017/s1755020323000060","DOIUrl":null,"url":null,"abstract":"Abstract We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of ‘finite achronal width’ that are introduced here.","PeriodicalId":49628,"journal":{"name":"Review of Symbolic Logic","volume":null,"pages":null},"PeriodicalIF":0.9000,"publicationDate":"2023-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"CANONICITY IN POWER AND MODAL LOGICS OF FINITE ACHRONAL WIDTH\",\"authors\":\"ROBERT GOLDBLATT, IAN HODKINSON\",\"doi\":\"10.1017/s1755020323000060\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of ‘finite achronal width’ that are introduced here.\",\"PeriodicalId\":49628,\"journal\":{\"name\":\"Review of Symbolic Logic\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2023-03-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Review of Symbolic Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/s1755020323000060\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"LOGIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Review of Symbolic Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/s1755020323000060","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"LOGIC","Score":null,"Total":0}
CANONICITY IN POWER AND MODAL LOGICS OF FINITE ACHRONAL WIDTH
Abstract We develop a method for showing that various modal logics that are valid in their countably generated canonical Kripke frames must also be valid in their uncountably generated ones. This is applied to many systems, including the logics of finite width, and a broader class of multimodal logics of ‘finite achronal width’ that are introduced here.
期刊介绍：
The Review of Symbolic Logic is designed to cultivate research on the borders of logic, philosophy, and the sciences, and to support substantive interactions between these disciplines. The journal welcomes submissions in any of the following areas, broadly construed:
- The general study of logical systems and their semantics,including non-classical logics and algebraic logic;
- Philosophical logic and formal epistemology, including interactions with decision theory and game theory;
- The history, philosophy, and methodology of logic and mathematics, including the history of philosophy of logic and mathematics;
- Applications of logic to the sciences, such as computer science, cognitive science, and linguistics; and logical results addressing foundational issues in the sciences.
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