Zulip Chat Archive
Stream: lean4
Topic: Formalizing proof of some conjecture on modal logic
SnO2WMaN (Aug 04 2025 at 04:42):
Recently I formalized the proof of a conjecture of modal logic, "Boxdot Conjecture", on our formalizing mathematical logic project (Formalized Formal Logic).
https://github.com/FormalizedFormalLogic/Foundation/blob/master/Foundation/Modal/Boxdot/Jerabek.lean
I followed the proof of Jeřábek's: https://arxiv.org/abs/1308.0994 (remark: it is already published) and omit the details about this conjecture here.
And it is noted that this conjecture is listed on google-deepmind/formal-conjectures. I don't know it's reported to formalized/proved some problem on this list, but it might be first one. (I don't know how to contribute when proved/formalized on this list, issue opened)
Kim Morrison (Aug 05 2025 at 05:33):
In what sense is it "10-years unsolved" if there's an arxiv paper from 2013 proving it?
SnO2WMaN (Aug 05 2025 at 05:42):
Kim Morrison said:
In what sense is it "10-years unsolved" if there's an arxiv paper from 2013 proving it?
I have misunderstood this thing and choosing wrong words. This problem was originally posed in 2009 and already solved by Jeřábek in 2013 (officially published in 2016). I only formalized this proof, not solved, so edited the first message. thanks.
Last updated: Dec 20 2025 at 21:32 UTC