A two-valued logic for reasoning about different types of consequence in Kleene's three-valued logic

Studia Logica 49 (4):541 - 555 (1990)
Abstract
A formal language of two-valued logic is developed, whose terms are formulas of the language of Kleene's three-valued logic. The atomic formulas of the former language are pairs of formulas of the latter language joined by consequence operators. These operators correspond to the three sensible types of consequence (strong-strong, strong-weak and weak-weak) in Kleene's logic in analogous way as the implication connective in the classical logic corresponds to the classical consequence relation. The composed formulas of the considered language are built from the atomic ones by means of the classical connectives and quantifiers.A deduction system for the developed language is given, consisting of a set of decomposition rules for sequences of formulas. It is shown that the deduction system is sound and complete.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF00370164
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: 30,224
Through your library
References found in this work BETA
The Mathematics of Metamathematics.Helena Rasiowa - 1963 - Warszawa, Państwowe Wydawn. Naukowe.

Add more references

Citations of this work BETA

No citations found.

Add more citations

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

Total downloads
14 ( #341,520 of 2,192,001 )

Recent downloads (6 months)
1 ( #289,023 of 2,192,001 )

How can I increase my downloads?

Monthly downloads
My notes
Sign in to use this feature