[Iris-Club] Frame-preserving update and double-negation
jung at mpi-sws.org
Wed Aug 24 17:54:46 CEST 2016
> Oops, yes, sorry, I should have proof-read my mail more carefully. Thank
> you for correcting this. Here are two quick proofs (which work when
> placed sufficiently late in the uPred_logic section in uPred.v):
> Lemma rvs_nn P: (|=r=> P) ⊢ ((P -★ False) -★ False).
> split. unseal. intros.
> edestruct H0; eauto.
> eapply (H3 n' x0); eauto.
> - rewrite comm; naive_solver.
> - naive_solver.
Ah, this makes sense. :)
So, we indeed get that
> Lemma rvs_ownM_update_nn x (Φ : M → Prop) :
> x ~~>: Φ → uPred_ownM x |- (((∃ y, ■ Φ y ∧ uPred_ownM y) -* False) -* False).
That's funny. On the other hand, we don't get adequacy, so it seems that
double negation is strictly too weak as a notion for our updates.
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