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Part of the book series: Texts in Theoretical Computer Science An EATCS Series ((TTCS))

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Abstract

There is a lot of freedom in inductive definitions. A type may be a constant whose type is one of the sorts in the system, it may also be a function, this function may have a dependent type, and some of its arguments may be parameters. The constructors may be constants or functions, possibly with a dependent type, their arguments may or may not be in the inductive type, and these arguments may themselves be functions. In this section, we want to study the limits of this freedom.

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© 2004 Springer-Verlag Berlin Heidelberg

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Bertot, Y., Castéran, P. (2004). ** Foundations of Inductive Types. In: Interactive Theorem Proving and Program Development. Texts in Theoretical Computer Science An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-07964-5_14

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  • DOI: https://doi.org/10.1007/978-3-662-07964-5_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05880-6

  • Online ISBN: 978-3-662-07964-5

  • eBook Packages: Springer Book Archive

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