Strongly compatible total orders on free monoids (Q1179490)

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scientific article; zbMATH DE number 24709
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Strongly compatible total orders on free monoids
scientific article; zbMATH DE number 24709

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    Strongly compatible total orders on free monoids (English)
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    26 June 1992
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    Strongly compatible orders on the free monoids \(X^*\) are considered here. It is shown that a strongly compatible order coincides with the lexicographic order if these orders are equal on all words of length three or less. Moreover, the strongly compatible orders for a binary alphabet are completely characterized.
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    free monoids
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    lexicographic order
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    strongly compatible orders
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