Abstract

Given a finite subset X of a free monoid A∗, we define the rank of X as r( X = min {;∣ Y∣: X ⊆ Y∗};. The problem we study here is to decide whether or not r( X)⩽2. We propose an O( nln 2 m) algorithm, where n stands for the sum of the lenghts of the words in X, and m stands for the length of the longest word.

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