Theory matrices (for modal logics) using alphabetical monotonicity

Studia Logica 52 (2):233 - 257 (1993)
In this paper I give conditions under which a matrix characterisation of validity is correct for first order logics where quantifications are restricted by statements from a theory. Unfortunately the usual definition of path closure in a matrix is unsuitable and a less pleasant definition must be used. I derive the matrix theorem from syntactic analysis of a suitable tableau system, but by choosing a tableau system for restricted quantification I generalise Wallen's earlier work on modal logics. The tableau system is only correct if a new condition I call alphabetical monotonicity holds. I sketch how the result can be applied to a wide range of logics such as first order variants of many standard modal logics, including non-serial modal logics.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01058390
 Save to my reading list
Follow the author(s)
Edit this record
My bibliography
Export citation
Find it on Scholar
Mark as duplicate
Request removal from index
Revision history
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 30,813
Through your library
References found in this work BETA
First-Order Logic.Raymond M. Smullyan - 1968 - New York [Etc.]Springer-Verlag.
Proof Methods for Modal and Intuitionistic Logics.Melvin Fitting - 1985 - Journal of Symbolic Logic 50 (3):855-856.
Foundations of Logic Programming.J. W. Lloyd - 1987 - Journal of Symbolic Logic 52 (1):288-289.
Tableau Methods of Proof for Modal Logics.Melvin Fitting - 1972 - Notre Dame Journal of Formal Logic 13 (2):237-247.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles
Added to PP index

Total downloads
12 ( #389,915 of 2,202,697 )

Recent downloads (6 months)
1 ( #301,722 of 2,202,697 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature