Journal of Symbolic Logic 60 (1):266-288 (1995)

We consider structural completeness in modal logics. The main result is the necessary and sufficient condition for modal logics over K4 to be hereditarily structurally complete: a modal logic λ is hereditarily structurally complete $\operatorname{iff} \lambda$ is not included in any logic from the list of twenty special tabular logics. Hence there are exactly twenty maximal structurally incomplete modal logics above K4 and they are all tabular
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2275521
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 69,078
Through your library

References found in this work BETA

The Logics Containing S 4.3.Kit Fine - 1971 - Zeitschrift fur mathematische Logik und Grundlagen der Mathematik 17 (1):371-376.
Pretabular Varieties of Modal Algebras.W. J. Blok - 1980 - Studia Logica 39 (2-3):101 - 124.

Add more references

Citations of this work BETA

Linear Temporal Logic with Until and Next, Logical Consecutions.V. Rybakov - 2008 - Annals of Pure and Applied Logic 155 (1):32-45.
Hereditarily Structurally Complete Positive Logics.Alex Citkin - 2020 - Review of Symbolic Logic 13 (3):483-502.
Logics with the Universal Modality and Admissible Consecutions.Rybakov Vladimir - 2007 - Journal of Applied Non-Classical Logics 17 (3):383-396.

View all 7 citations / Add more citations

Similar books and articles


Added to PP index

Total views
29 ( #391,979 of 2,498,848 )

Recent downloads (6 months)
1 ( #421,180 of 2,498,848 )

How can I increase my downloads?


My notes