Christian Antić - Boolean proportions

lmcs:11055 - Logical Methods in Computer Science, April 9, 2024, Volume 20, Issue 2 -
Boolean proportionsArticle

Authors: Christian Antić

    The author has recently introduced an abstract algebraic framework of analogical proportions within the general setting of universal algebra. This paper studies analogical proportions in the boolean domain consisting of two elements 0 and 1 within his framework. It turns out that our notion of boolean proportions coincides with two prominent models from the literature in different settings. This means that we can capture two separate modellings of boolean proportions within a single framework which is mathematically appealing and provides further evidence for the robustness and applicability of the general framework.

    Volume: Volume 20, Issue 2
    Published on: April 9, 2024
    Accepted on: February 18, 2024
    Submitted on: March 10, 2023
    Keywords: Computer Science - Artificial Intelligence,Computer Science - Discrete Mathematics,Computer Science - Logic in Computer Science

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