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Some Combinatorial Properties of Factorial Languages

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Sequences

Abstract

A language L over a finite alphabet A is factorial if each factor (or subword) of any word of L still belongs to L. Typical examples of factorial languages are those formed by all finite factors of a given set of infinite words. In this case the language satisfies the important property that any word of L can be prolonged, in at least one direction, in the language.

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© 1990 Springer-Verlag New York Inc.

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de Luca, A., Varricchio, S. (1990). Some Combinatorial Properties of Factorial Languages. In: Capocelli, R.M. (eds) Sequences. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-3352-7_20

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  • DOI: https://doi.org/10.1007/978-1-4612-3352-7_20

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7977-8

  • Online ISBN: 978-1-4612-3352-7

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