A criterion of properness for a family of functions (Q6608057)
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scientific article; zbMATH DE number 7915935
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion of properness for a family of functions |
scientific article; zbMATH DE number 7915935 |
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A criterion of properness for a family of functions (English)
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19 September 2024
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The authors extended the result on the Boolean case of families of functions to the case of k-valued logics for \(k > 2\). They showed that in the case of \(k > 2\), properness is equivalent to the existence of a hereditarily unique fixed point for the family itself and all its re-encoding transformations, and observed that re-encodings enriched with consistent re-numberings of variables and functions are the stabilizer of the set of proper families.
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\(n\)-quasigroups
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proper families of Boolean functions
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unique sink orientations
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