Published November 27, 2025 | Version v2

Parallel computing minimal $ f\in \mathrm{cMaj}_5^{\{0,1\}} $ (py)

  • 1. ROR icon Instituto Tecnológico Autónomo de México

Description

This dataset consists of a (mostly) parallel Python code, its documentation and its results. The code is one of 3 independent implementations that accompany the paper entitled “All minimal clones generated by $\{0,1\}$-valued majority operations on a five-element set”. Within the set of all cyclically symmetric majority operations on \(A=\{0,1,2,3,4\}\) with values in \(\{0,1\}\) on injective triples, denoted  \(\mathrm{cMaj}_5^{\{0,1\}}\) , the code identifies all \(f\) that generate a minimal clone. The list of these functions is reduced up to an equivalence relation defined by conjugacy (isomorphisms).

More detailed information is available in the file docu.pdf (source code for this file is given in docu.tex).

Version 2: Only the documentation was changed, i.e., a few typos were corrected and a link to this dataset was introduced.

Files

docu.pdf

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Additional details

Software

Programming language
Python console , Python