Logical matrices and non-structural consequence operators

Studia Logica 42 (1):33 - 42 (1983)
Abstract
In the present paper, we study some properties of matrices for non-structural consequence operators. These matrices were introduced in a former work (see [3]). In sections 1. and 2., general definitions and theorems are recalled; in section 3. a correspondence is studied, among our matrices and Wójcicki's ones for structural operators. In section 4. a theorem is given about operators, induced by submatrices or epimorphic images, or quotient matrices of a given one.Such matrices are used to characterize lattices of non-structural consequence operators, by constructing lattices, antiisomorphic to them (see section 5.). In the last section, a sufficient condition is given for a non-structural operator to be finite.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01418757
Options
 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: 31,786
Through your library
References found in this work BETA
Selected Works.Jan Łukasiewicz - 1970 - Amsterdam: North-Holland Pub. Co..
Deducibility and Many-Valuedness.D. J. Shoesmith & T. J. Smiley - 1971 - Journal of Symbolic Logic 36 (4):610-622.

Add more references

Citations of this work BETA
Nonmonotonic Theories and Their Axiomatic Varieties.Zbigniew Stachniak - 1995 - Journal of Logic, Language and Information 4 (4):317-334.
Many-Valued Computational Logics.Zbigniew Stachniak - 1989 - Journal of Philosophical Logic 18 (3):257 - 274.

Add more citations

Similar books and articles
Added to PP index
2009-01-28

Total downloads
27 ( #215,135 of 2,231,511 )

Recent downloads (6 months)
2 ( #264,176 of 2,231,511 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature