{"title":"Phase Semantics for Multilattice Formalism","authors":"N. Kamide","doi":"10.1109/ISMVL.2017.13","DOIUrl":null,"url":null,"abstract":"A new logic called linear multilattice logic (LMLn), which is a substructural refinement of Shramko's multilattice logic, is introduced as a Gentzen-type sequent calculus. A phase semantics for LMLn is introduced, and the completeness theorem with respect to this semantics is proved.","PeriodicalId":393724,"journal":{"name":"2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2017-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2017 IEEE 47th International Symposium on Multiple-Valued Logic (ISMVL)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2017.13","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
A new logic called linear multilattice logic (LMLn), which is a substructural refinement of Shramko's multilattice logic, is introduced as a Gentzen-type sequent calculus. A phase semantics for LMLn is introduced, and the completeness theorem with respect to this semantics is proved.