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Binary Codes that Do Not Preserve Primitivity

Publikace na Matematicko-fyzikální fakulta |
2022

Tento text není v aktuálním jazyce dostupný. Zobrazuje se verze "en".Abstrakt

A code X is not primitivity preserving if there is a primitive list w is an element of lists X whose concatenation is imprimitive. We formalize a full characterization of such codes in the binary case in the proof assistant Isabelle/HOL.

Part of the formalization, interesting on its own, is a description of {x, y}-interpretations of the square xx if |y| <= |x|. We also provide a formalized parametric solution of the related equation x(j) y(k) = z(l).