Fixed point languages of rational transductions (Q1822509)

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scientific article; zbMATH DE number 4003550
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Fixed point languages of rational transductions
scientific article; zbMATH DE number 4003550

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    Fixed point languages of rational transductions (English)
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    1986
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    This paper studies fixed points of rational transductions (rational relations). The set of fixed points of a rational transduction as a subset of a free monoid is called a fixed point language. Here we prove that a fixed point language is always a context-sensitive language and study some special cases. The results may also be viewed as a contribution to the qualitative theory of equation in free monoids.
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    fixed points
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    rational transductions
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    rational relations
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    fixed point language
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    context-sensitive language
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    qualitative theory of equation in free monoids
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