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Part of the book series: Outstanding Contributions to Logic ((OCTR,volume 15))

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Abstract

In this paper we discuss the problem of interpolation in the alternation levels of the \(\mu \)-Calculus. In particular, we consider interpolation and uniform interpolation for the alternation free fragment, and, more generally, for the level \(\varDelta _n\) of the alternation hierarchy of the \(\mu \)-calculus.

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Acknowledgements

This paper has been partially supported by the GNCS-INDAM Project ‘Algoritmica per il model checking e la sintesi di sistemi safety-critica’.

The author wish to thank Michael T. Vanden Boom for pointing out various mistakes in a previous version of the paper, and the anonimous referees for being very patient and positive in spite of all these mistakes.

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Correspondence to Giovanna D’Agostino .

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D’Agostino, G. (2018). \(\mu \)-Levels of Interpolation. In: Odintsov, S. (eds) Larisa Maksimova on Implication, Interpolation, and Definability. Outstanding Contributions to Logic, vol 15. Springer, Cham. https://doi.org/10.1007/978-3-319-69917-2_8

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