D 2016

Set Representation of Partial Dynamic De Morgan algebras

CHAJDA, Ivan and Jan PASEKA

Basic information

Original name

Set Representation of Partial Dynamic De Morgan algebras

Authors

CHAJDA, Ivan (203 Czech Republic) and Jan PASEKA (203 Czech Republic, guarantor, belonging to the institution)

Edition

LOS ALAMITOS, 2016 IEEE 46TH INTERNATIONAL SYMPOSIUM ON MULTIPLE-VALUED LOGIC (ISMVL 2016), p. 119-124, 6 pp. 2016

Publisher

IEEE COMPUTER SOC

Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

storage medium (CD, DVD, flash disk)

RIV identification code

RIV/00216224:14310/16:00088577

Organization unit

Faculty of Science

ISBN

978-1-4673-9488-8

ISSN

UT WoS

000386537300021

Keywords in English

De Morgan lattice; De Morgan poset; semi-tense operators; tense operators; (partial) dynamic De Morgan algebra

Tags

Tags

International impact, Reviewed
Změněno: 20/4/2017 11:46, Ing. Andrea Mikešková

Abstract

V originále

By a De Morgan algebra is meant a bounded poset equipped with an antitone involution considered as negation. Such an algebra can be considered as an algebraic axiomatization of a propositional logic satisfying the double negation law. Our aim is to introduce the so-called tense operators in every De Morgan algebra for to get an algebraic counterpart of a tense logic with negation satisfying the double negation law which need not be Boolean. Following the standard construction of tense operators G and H by a frame we solve the following question: if a dynamic De Morgan algebra is given, how to find a frame such that its tense operators G and H can be reached by this construction.

Links

GA15-15286S, research and development project
Name: Algebraické, vícehodnotové a kvantové struktury pro modelování neurčitosti
Investor: Czech Science Foundation
GF15-34697L, research and development project
Name: Nové přístupy k reziduovaným posetům
Investor: Czech Science Foundation, Partner Agency (Austria)

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