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arxiv: 1104.2744 · v2 · pith:3XVPHX4Anew · submitted 2011-04-14 · 🧮 math.LO

Non-deterministic inductive definitions

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keywords definitionsinductivenon-deterministicprincipleapplicationscallconstructivecontext
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We study a new proof principle in the context of constructive Zermelo-Fraenkel set theory based on what we will call "non-deterministic inductive definitions". We give applications to formal topology as well as a predicative justification of this principle.

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