Authors: Doder, Dragan
Ognjanović, Zoran 
Perović, Aleksandar
Rašković, Miodrag 
Affiliations: Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: On evaluations of propositional formulas whose range is a subset of some fixed countable ordered field
Journal: World Scientific Proc. Series on Computer Engineering and Information Science 7; Uncertainty Modeling in Knowledge Engineering and Decision Making - Proceedings of the 10th International FLINS Conf.
Volume: 7
First page: 567
Last page: 572
Conference: 10th International Fuzzy Logic and Intelligent Technologies inNuclear Science Conference, FLINS 2012; Istanbul; Turkey; 26 August 2012 through 29 August 2012
Editors: Kahraman, Cengiz
Tunc Bozbura, Faik
Kerre, Etienne E.
Issue Date: 1-Dec-2012
Rank: M33
ISBN: 978-981441773-0
DOI: 10.1142/9789814417747_0091
Abstract: 
Let L be a countable first-order language such that its set of constant symbols Const(L) is countable. We provide a complete infinitary propositional logic (formulas remain finite sequences of symbols, but we use inference rules with countably many premises) for description of C-valued L-structures, where C is an infinite subset of Const(L). The main goal is to provide a formal framework for reasoning about F-valued evaluations of propositional formulas, where F is some countable ordered field. The prime examples of F are the field of rational numbers ℚ, its real closure ℚ and the field of fractions ℚ(ε), where ε is a positive infinitesimal.
Publisher: World Scientific

Show full item record

SCOPUSTM   
Citations

1
checked on Sep 16, 2022

Page view(s)

41
checked on Oct 1, 2022

Google ScholarTM

Check

Altmetric

Altmetric


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.