Abstract
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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van den Berg, B. Non-deterministic inductive definitions. Arch. Math. Logic 52, 113–135 (2013). https://doi.org/10.1007/s00153-012-0309-4
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DOI: https://doi.org/10.1007/s00153-012-0309-4