mlsanityData to 14 Oct 2026

Analogical proportions in monounary algebras

arXiv 2208.06829 ↗First posted 14 Aug 2022cs.AI cs.DM cs.LOcited by 2

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Abstract (arXiv)

This paper studies analogical proportions in monounary algebras consisting only of a universe and a single unary function. We show that the analogical proportion relation is characterized in the infinite monounary algebra formed by the natural numbers together with the successor function via difference proportions.

Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). Builds on 4 of its 35 references that are in the map. First posted on arXiv 14 Aug 2022.

Builds on

4 of 35 references.

References · 4

  1. 2014Analogical Dissimilarity: Definition, Algorithms and Two Experiments in Machine Learningcited by 15
  2. 2020Analogical proportionscited by 13
  3. 2018Logic program proportionscited by 12
  4. 2021Inapproximability of Unique Games in Fixed-Point Logic with Countingcited by 2

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Cited by year

Citing papers per year: 2022: 1; 2023: 0; 2024: 1.

2 papers.

  1. 2022Proportoidscited by 4
  2. 2024Algebraic anti-unificationcited by 0