On the degree of complexity of sentential logics. A couple of examples

Studia Logica 40 (2):141 - 153 (1981)
Abstract
The first part of the paper is a reminder of fundamental results connected with the adequacy problem for sentential logics with respect to matrix semantics. One of the main notions associated with the problem, namely that of the degree of complexity of a sentential logic, is elucidated by a couple of examples in the second part of the paper. E.g., it is shown that the minimal logic of Johansson and some of its extensions have degree of complexity 2. This is the first example of an exact estimation of the degree of natural complex logics, i.e. logics whose deducibility relation cannot be represented by a single matrix. The remaining examples of complex logics are more artificial, having been constructed for the purpose of checking some theoretical possibilities.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF01874705
Options
 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: 28,106
Through your library
References found in this work BETA
Decidability of S4.Krister Segerberg - 1968 - Theoria 34 (1):7-20.
A Matrix Adequate for S5 with Mp and Rn.Jacek Hawranek - 1980 - Bulletin of the Section of Logic 9 (3):122-123.

View all 8 references / Add more references

Citations of this work BETA
A Gentzen System for Conditional Logic.Fernando Guzmán - 1994 - Studia Logica 53 (2):243 - 257.

Add more citations

Similar books and articles

Monthly downloads

Added to index

2009-01-28

Total downloads

15 ( #315,934 of 2,171,776 )

Recent downloads (6 months)

4 ( #76,305 of 2,171,776 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums