Had a good chat with deepakgarg in the grad lounge around lunchtime about his and my research stuff. He told me about several surprising encodings of the lax modality ○. Apparently ○A is equivalent to both (A ⊸ p) ⊸ p and □(p ∨ A) for some fresh propositional atom p ... at least the latter encoding works if you also hereditarily box everything else in sight.
Feeling sort of sniffly and sore-throated, though. I hope I haven't caught the latest cold that's going around.