An incomplete relevant modal logic

Journal of Philosophical Logic 29 (1):103-119 (2000)
The relevant modal logic G is a simple extension of the logic RT, the relevant counterpart of the familiar classically based system T. Using the Routley-Meyer semantics for relevant modal logics, this paper proves three main results regarding G: (i) G is semantically complete, but only with a non-standard interpretation of necessity. From this, however, other nice properties follow. (ii) With a standard interpretation of necessity, G is semantically incomplete; there is no class of frames that characterizes G. (iii) The class of frames for G characterizes the classically based logic T
Keywords relevant modal logic  relevance logic  modal logic  semantic incompleteness  semantic completeness  Routley–Meyer semantics
Categories (categorize this paper)
Reprint years 2004
DOI 10.1023/A:1004774422224
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,182
Through your library
References found in this work BETA
Models for Relevant Modal Logics.André Fuhrmann - 1990 - Studia Logica 49 (4):501 - 514.

Add more references

Citations of this work BETA
Normal Modal Substructural Logics with Strong Negation.Norihiro Kamide - 2003 - Journal of Philosophical Logic 32 (6):589-612.

Add more citations

Similar books and articles
Regression in Modal Logic.Robert Demolombe, Andreas Herzig & Ivan Varzinczak - 2003 - Journal of Applied Non-Classical Logic 13 (2):165-185.
Incompleteness and the Barcan Formula.M. J. Cresswell - 1995 - Journal of Philosophical Logic 24 (4):379 - 403.
Models for Relevant Modal Logics.André Fuhrmann - 1990 - Studia Logica 49 (4):501 - 514.
Modal Incompleteness Revisited.Tadeusz Litak - 2004 - Studia Logica 76 (3):329 - 342.

Monthly downloads

Added to index


Total downloads

29 ( #177,695 of 2,172,035 )

Recent downloads (6 months)

1 ( #325,337 of 2,172,035 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums