Here is a bidirectional STλC type checker in string diagram Mercury, or something.
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Looks a bit like the algebraic presentation of type checking in bentnib.org/posts/2015-04-
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Just went through the slides this afternoon with . Super cool stuff and quite mind expanding - especially the tactic stuff! Have you experimented with this approach more since then?
I've experimented a bit with more complex theories like Fomega. Keep meaning to write it up properly, but never getting round to it.
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