A note on the relation between the Contextual Fraction and CNT2

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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 (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 CNT2, was proposed as one of the measures within the Contextuality-by-Default approach. In this note, I prove that CNTF=2CNT2 within a class of systems, called cyclic, that have played a prominent role in contextuality research.

Original languageEnglish (US)
Article number102726
JournalJournal of Mathematical Psychology
StatePublished - Feb 2023


  • CNT
  • CNTF
  • Contextual fraction
  • Contextuality-by-Default
  • Measures of contextuality
  • Sheaf-theoretic contextuality

ASJC Scopus subject areas

  • General Psychology
  • Applied Mathematics


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