Questions tagged [real-numbers]

For questions about $\mathbb{R}$, the field of real numbers.

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State-of-the-art constructive encodings of Reals in a (constructive) type theory that supports quotient-types

I don't think a particular choice of such type theory matters much. Extensional MLTT, SetoidTT, OTT, HoTT, HOTT, CuTT -- they all support quotient types. Reals is supposed to be a Set (in HoTT ...
Russoul's user avatar
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14 votes
1 answer

Converting between formulations of reals in Coq

While trying to answer more concretely a question on floating points, I tried proving a simple statement using the Flocq library of Coq. However, I got stuck before really exercising it because I am ...
Bruno Le Floch's user avatar