Studia Logica

, Volume 101, Issue 5, pp 1115–1141 | Cite as

Some Metacomplete Relevant Modal Logics

  • Takahiro SekiEmail author


A logic is called metacomplete if formulas that are true in a certain preferred interpretation of that logic are theorems in its metalogic. In the area of relevant logics, metacompleteness is used to prove primeness, consistency, the admissibility of γ and so on. This paper discusses metacompleteness and its applications to a wider class of modal logics based on contractionless relevant logics and their neighbours using Slaney’s metavaluational technique.


Relevant modal logic Metacompleteness Primeness Consistency Admissibility of γ 


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© Springer Science+Business Media B.V. 2012

Authors and Affiliations

  1. 1.University Evaluation Center, Headquarters for Strategy and PlanningNiigata UniversityNiigata CityJapan

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