A Sahlqvist Theorem for Relevant Modal Logics

Studia Logica 73 (3):383-411 (2003)
  Copy   BIBTEX

Abstract

Kripke-completeness of every classical modal logic with Sahlqvist formulas is one of the basic general results on completeness of classical modal logics. This paper shows a Sahlqvist theorem for modal logic over the relevant logic Bin terms of Routley-Meyer semantics. It is shown that usual Sahlqvist theorem for classical modal logics can be obtained as a special case of our theorem.

Categories

Keywords

Reprint years

2004

DOI

10.1023/a:1023335229747

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,779

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

A Sahlqvist theorem for relevant modal logics.Takahiro Seki - 2003 - Studia Logica 73 (3):383-411.
Halldén Completeness for Relevant Modal Logics.Takahiro Seki - 2015 - Notre Dame Journal of Formal Logic 56 (2):333-350.
A Sahlqvist theorem for distributive modal logic.Mai Gehrke, Hideo Nagahashi & Yde Venema - 2004 - Annals of Pure and Applied Logic 131 (1-3):65-102.
Sahlqvist Correspondence for Modal mu-calculus.Johan van Benthem, Nick Bezhanishvili & Ian Hodkinson - 2012 - Studia Logica 100 (1-2):31-60.
An extension of Kracht's theorem to generalized Sahlqvist formulas.Stanislav Kikot - 2009 - Journal of Applied Non-Classical Logics 19 (2):227-251.
The γ-admissibility of Relevant Modal Logics I — The Method of Normal Models.Takahiro Seki - 2011 - Studia Logica 97 (2):199-231.
Sahlqvist Correspondence for Modal mu-calculus.Johan Benthem, Nick Bezhanishvili & Ian Hodkinson - 2012 - Studia Logica 100 (1-2):31-60.
The γ-admissibility of Relevant Modal Logics II — The Method using Metavaluations.Takahiro Seki - 2011 - Studia Logica 97 (3):351-383.
A Dichotomy for Some Elementarily Generated Modal Logics.Stanislav Kikot - 2015 - Studia Logica 103 (5):1063-1093.
Hybrid logics with Sahlqvist axioms.Balder Cate, Maarten Marx & Petrúcio Viana - 2005 - Logic Journal of the IGPL 13 (3):293-300.

Analytics

Added to PP
2016-02-18

Downloads
21 (#726,807)

6 months
9 (#438,283)

Historical graph of downloads
How can I increase my downloads?

Citations of this work

Varieties of Relevant S5.Shawn Standefer - 2023 - Logic and Logical Philosophy 32 (1):53–80.
Tracking reasons with extensions of relevant logics.Shawn Standefer - 2019 - Logic Journal of the IGPL 27 (4):543-569.
Quantified Modal Relevant Logics.Nicholas Ferenz - 2023 - Review of Symbolic Logic 16 (1):210-240.
First-Order Relevant Reasoners in Classical Worlds.Nicholas Ferenz - forthcoming - Review of Symbolic Logic:1-26.
A Sahlqvist theorem for substructural logic.Tomoyuki Suzuki - 2013 - Review of Symbolic Logic 6 (2):229-253.

View all 18 citations / Add more citations

References found in this work

Modal Logic.Yde Venema, Alexander Chagrov & Michael Zakharyaschev - 2000 - Philosophical Review 109 (2):286.
The semantics of entailment II.Richard Routley & Robert K. Meyer - 1972 - Journal of Philosophical Logic 1 (1):53 - 73.
The Semantics of R4.Edwin D. Mares & Robert K. Meyer - 1993 - Journal of Philosophical Logic 22 (1):95-110.
Classically complete modal relevant logics.Edwin D. Mares - 1993 - Mathematical Logic Quarterly 39 (1):165-177.
The Semantic Completeness Of Rk.Edwin Mares - 1992 - Reports on Mathematical Logic:3-10.

Add more references