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arXiv · 1902.10971

Representing Continuous Functions between Greatest Fixed Points of Indexed Containers

Pierre Hyvernat
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Abstract

We describe a way to represent computable functions between coinductive types as particular transducers in type theory. This generalizes earlier work on functions between streams by P. Hancock to a much richer class of coinductive types. Those transducers can be defined in dependent type theory without any notion of equality but require inductive-recursive definitions. Most of the properties of these constructions only rely on a mild notion of equality (intensional equality) and can thus be formalized in the dependently typed language Agda.

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Pierre Hyvernat. 2019-02-28. Representing Continuous Functions between Greatest Fixed Points of Indexed Containers. https://doi.org/10.46298/lmcs-17(3%3A13)2021

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