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This would be neat! I've been wanting to play around with separation logic in Lean. I was thinking of trying to port some of the stuff in “Program Logics for Certified Compilers” at some stage to Lean 4… do you know how this stuff compares?
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I have it on good authority that this stuff is the state of the art in proof calculi for SL, and (as the paper suggests) it certainly improves on the Isabelle infrastructure my old group produced. And the tactics are for BI-assertions, which is what I want, not SL triples.
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