文章基本信息

标题：A Van Benthem Theorem for Modal Team Semantics
本地全文：下载
作者：Juha Kontinen ; Julian-Steffen M{\"u}ller ; Henning Schnoor 等
期刊名称：LIPIcs : Leibniz International Proceedings in Informatics
电子版ISSN：1868-8969
出版年度：2015
卷号：41
页码：277-291
DOI：10.4230/LIPIcs.CSL.2015.277
出版社：Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
摘要：The famous van Benthem theorem states that modal logic corresponds exactly to the fragment of first-order logic that is invariant under bisimulation. In this article we prove an exact analogue of this theorem in the framework of modal dependence logic (MDL) and team semantics. We show that Modal Team Logic (MTL) extending MDL by classical negation captures exactly the FO-definable bisimulation invariant properties of Kripke structures and teams. We also compare the expressive power of MTL to most of the variants and extensions of MDL recently studied in the area.
关键词：modal logic; dependence logic; team semantics; expressivity; bisimulation; independence; inclusion; generalized dependence atom