Ideal related algebras and their logics-Reference-Cited by-同舟云学术

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Ideal related algebras and their logics

Published:2021-04-24 Issue:8 Volume:31 Page:2159-2188
ISSN:0955-792X
Container-title:Journal of Logic and Computation
language:en
Short-container-title:

Author:

DÜntsch Ivo¹,Dzik Wojciech²

Affiliation:

1. College of Mathematics and Informatics, Fujian Normal University, 350007, Fuzhou, China and Department of Computer Science, Brock University, St Catharines, L2S3A1, Ontario, Canada

2. Institute of Mathematics, University of Silesia, 40-007, Katowice, Poland

Abstract

Abstract We investigate modal algebras that generalize the unary discriminator into two directions related to an ideal of the algebra. It turns out that some classes lead to well-known logics, while others have not yet been explored.

Funder

National Natural Science Foundation of China

Publisher

Oxford University Press (OUP)

Subject

Logic,Hardware and Architecture,Arts and Humanities (miscellaneous),Software,Theoretical Computer Science

Link

https://academic.oup.com/logcom/article-pdf/31/8/2159/41808820/exab021.pdf

Reference48 articles.

1. Free algebras in discriminator varieties;Andréka;Algebra Universalis,1991

2. On the lattice of extensions of the modal logics KAlt$_n$;Bellissima;Archive for Mathematical Logic,1988

3. Pseudomonadic algebras as algebraic models of doxastic modal logic;Bezhanishvili;MLQ Mathematical Logic Quarterly,2002

4. Cambridge Tracts in Theoretical Computer Science;Blackburn,2001

5. PhD Thesis;Blok,1976

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