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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.
5
votes
Constructive homological algebra in HoTT
I posted an answer citing my work with Jarl Flaten on defining Ext groups constructively at https://mathoverflow.net/a/447555/952, where I also mention that you can use this to define other derived fu …
15
votes
How to make Ext and Tor constructive?
Jarl Flaten and I have developed the theory of Ext groups constructively in homotopy type theory, and have formalized most of the results in Coq. We use Yoneda's resolution-free approach to Ext, so t …