Absoluteness of subword inequality is undecidable

Computer Science – Formal Languages and Automata Theory

Scientific paper

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Scientific paper

Mateescu, Salomaa, and Yu asked: is it decidable whether a given subword
history assumes only non-negative values for all words over a given alphabet.
In this paper, we solve this open problem by proving that this problem is
undecidable even under stronger conditions than supposed originally.

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