Predicate Transformers, (co)Monads and Resolutions

Pierre Hyvernat

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arXiv · 0906.2866

Predicate Transformers, (co)Monads and Resolutions

Pierre Hyvernat

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Abstract

This short note contains random thoughts about a factorization theorem for closure/interior operators on a powerset which is reminiscent to the notion of resolution for a monad/comonad. The question originated from formal topology but is interesting in itself. The result holds constructively (even if it classically has several variations); but usually not predicatively (in the sense that the interpolant will no be given by a set). For those not familiar with predicativity issues, we look at a ``classical'' version where we bound the size of the interpolant.

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Pierre Hyvernat. 2009-06-16. Predicate Transformers, (co)Monads and Resolutions. https://arxiv.org/abs/0906.2866

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