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arXiv · 1309.1258

Induction by Coinduction and Control Operators in Call-by-Name

Yoshihiko Kakutani·Daisuke Kimura
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Abstract

This paper studies emulation of induction by coinduction in a call-by-name language with control operators. Since it is known that call-by-name programming languages with control operators cannot have general initial algebras, interaction of induction and control operators is often restricted to effect-free functions. We show that some class of such restricted inductive types can be derived from full coinductive types by the power of control operators. As a typical example of our results, the type of natural numbers is represented by the type of streams. The underlying idea is a counterpart of the fact that some coinductive types can be expressed by inductive types in call-by-name pure language without side-effects.

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Yoshihiko Kakutani, Daisuke Kimura. 2013-09-05. Induction by Coinduction and Control Operators in Call-by-Name. https://doi.org/10.4204/eptcs.127.7

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