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A new operation between languages

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Fundamentals of Computation Theory (FCT 1981)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 117))

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Abstract

Here is introduced a new operation between languages noted ∇ in order to study their structural complexity. Two languages L and M being given, we say that L is of structural complexity greater than M iff the full semi-A F L F(M) generated by M is included in the full semi-A F L F(L) generated by L. Then ∇ satisfies the property that, when applied to some structurally comparable languages, it produces a language of intermediary structural complexity.

We use the ∇ operation to build a context-free language which has structural complexity greater than any finite-turn language but is not context-free generator.

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Ferenc Gécseg

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© 1981 Springer-Verlag Berlin Heidelberg

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Beauquier, J. (1981). A new operation between languages. In: Gécseg, F. (eds) Fundamentals of Computation Theory. FCT 1981. Lecture Notes in Computer Science, vol 117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-10854-8_44

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  • DOI: https://doi.org/10.1007/3-540-10854-8_44

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10854-2

  • Online ISBN: 978-3-540-38765-7

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