A note on the relation between the Contextual Fraction and CNT2

• URL: http://arxiv.org/abs/2110.07113v3
• Date: Fri, 4 Nov 2022 02:33:26 GMT
• Title: A note on the relation between the Contextual Fraction and CNT2
• Authors: V\'ictor H. Cervantes
• Abstract summary: I prove that $textCNTF=2textCNT_2$ within a class of systems, called cyclic, has played a prominent role in contextuality research.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Contextuality (or lack thereof) is a property of systems of random variables. Among the measures of the degree of contextuality, two have played important roles. One of them, Contextual Fraction ($\text{CNTF}$) was proposed within the framework of the sheaf-theoretic approach to contextuality, and extended to arbitrary systems in the Contextuality-by-Default approach. The other, denoted $\text{CNT}_{2}$, was proposed as one of the measures within the Contextuality-by-Default approach. In this note, I prove that $\text{CNTF}=2\text{CNT}_{2}$ within a class of systems, called cyclic, that have played a prominent role in contextuality research.

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