{"title":"双模拟下模态结构的范畴解释","authors":"Nino Guallart","doi":"10.2478/kjps-2019-0008","DOIUrl":null,"url":null,"abstract":"Abstract In this work we summarise the concept of bisimulation, widely used both in computational sciences and in modal logic, that characterises modal structures with the same behaviour in terms of accessibility relations. Then, we offer a sketch of categorical interpretation of bisimulation between modal structures, which comprise both the structure and the valuation from a propositional language.","PeriodicalId":52005,"journal":{"name":"Kairos-Journal of Philosophy & Science","volume":"139 1","pages":"54 - 71"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Categorical Interpretation of Modal Structures under Bisimulation\",\"authors\":\"Nino Guallart\",\"doi\":\"10.2478/kjps-2019-0008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this work we summarise the concept of bisimulation, widely used both in computational sciences and in modal logic, that characterises modal structures with the same behaviour in terms of accessibility relations. Then, we offer a sketch of categorical interpretation of bisimulation between modal structures, which comprise both the structure and the valuation from a propositional language.\",\"PeriodicalId\":52005,\"journal\":{\"name\":\"Kairos-Journal of Philosophy & Science\",\"volume\":\"139 1\",\"pages\":\"54 - 71\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kairos-Journal of Philosophy & Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/kjps-2019-0008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kairos-Journal of Philosophy & Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/kjps-2019-0008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Categorical Interpretation of Modal Structures under Bisimulation
Abstract In this work we summarise the concept of bisimulation, widely used both in computational sciences and in modal logic, that characterises modal structures with the same behaviour in terms of accessibility relations. Then, we offer a sketch of categorical interpretation of bisimulation between modal structures, which comprise both the structure and the valuation from a propositional language.