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If we consider Isabelle or Coq theories, OpenTheory should be worth a look, since it's developed as a proof exchange tool (only between the HOL family of provers, for now). Isabelle/HOL does have "read" support though, so we would get that for free!
So, OpenTheory works by putting assumption terms in a stack-based custom VM (specs are here) and then writing a program for that VM that turns them into the conclusion terms, i.e. that program is the proof. Regardless of how useful having that format is, this sounds
quite similar to our own approach
like a fun thing to implement
I consider doing this when I'm done with the rule export!
possible outputs that would be nice are:
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