I know this is useful for crypto, but I think think I'm actually more interested in what new modes of remote code running on untrusted platforms this enables.
Python's Deal library provides contracts and a small portable formal proofs area of the codebase.
Additionally, Deal integrates with CrossHair which does concolic execution of the tests and functions annotated with contracts. It's integrated with Z3, and most of the Python primitives are covered.
It just works surprisingly well for incrementally building up provable code properties.
I just read your Coinductive guide to inductive transformer heads paper.
My mind is blown.
Is the Hopf Algebra based ML framework you are working on on your github? I took a glance, but you have 1500 repositories and it wasn't on the first few of them.