Formulas of one variable in KR

This note corrects an error in an earlier paper (Urquhart 2023)claiming that the algebra of three-variable formulas in the logic KR is finite.Here we show that the algebra of one-variable formulas in this logic is infinite.

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Publication Details

Journal
The Australasian Journal of Logic
Published
2026-03-12
DOI
https://doi.org/10.26686/ajl.v23i2.9824
Primary Topic
Advanced Algebra and Logic
Type
article
Field-Weighted Citation Impact
0.00
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article

Formulas of one variable in KR

Alasdair Urquhart
The Australasian Journal of Logic
Advanced Algebra and Logic
article

Formulas of one variable in KR

Alasdair Urquhart
article en

Abstract

This note corrects an error in an earlier paper (Urquhart 2023)claiming that the algebra of three-variable formulas in the logic KR is finite.Here we show that the algebra of one-variable formulas in this logic is infinite.

The Australasian Journal of LogicVol. 23(2)
University of Toronto (CA)
Reduced inequalities
Openalex Percentile: Top 24%
Advanced Algebra and Logic
DOIOpen Access PDFOpenAlex
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