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The family of one-counter languages is closed under quotient

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Summary

We study, first, the operation of quotient in connection with rational transductions. We show, afterwards, that Rocl, the family of one counter languages is closed under quotient by a context-free language. On the contrary, every recursively enumerable language is the quotient of two linear languages.

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Latteux, M., Leguy, B. & Ratoandromanana, B. The family of one-counter languages is closed under quotient. Acta Informatica 22, 579–588 (1985). https://doi.org/10.1007/BF00267045

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