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hei411 committed Nov 1, 2024
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10 changes: 10 additions & 0 deletions theories/coneris/adequacy.v
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Expand Up @@ -466,6 +466,15 @@ Section safety.
lra.
- by rewrite H0.
Qed.

(* Lemma sch_erasable_dbind_mass `{Countable sch_int_state} (ζ : sch_int_state) (sch: scheduler con_prob_lang_mdp sch_int_state) `{H0 : !TapeOblivious sch_int_state sch} μ σ n es: *)
(* sch_erasable (λ (t : Type) _ _ *)
(* (sch : scheduler con_prob_lang_mdp t), TapeOblivious t sch) μ σ -> *)
(* SeriesC (μ≫=(λ σ', sch_pexec sch n (ζ, (es, σ')))) = SeriesC (sch_pexec sch n (ζ, (es, σ))). *)
(* Proof. *)
(* intros H'. *)
(* epose proof H' _ _ _ _ _ _ n H0 as H1. *)
(* Admitted. *)

Lemma state_step_coupl_erasure_safety `{Countable sch_int_state} (ζ : sch_int_state) es σ ε Z n (sch: scheduler con_prob_lang_mdp sch_int_state) `{H0 : !TapeOblivious sch_int_state sch}:
state_step_coupl σ ε Z -∗
Expand Down Expand Up @@ -501,6 +510,7 @@ Section safety.

Admitted.


Lemma state_step_coupl_erasure_safety' `{Countable sch_int_state} (ζ : sch_int_state) e es e' σ ε Z n num (sch: scheduler con_prob_lang_mdp sch_int_state) `{!TapeOblivious sch_int_state sch}:
((e::es)!!num = Some e') ->
to_val e = None ->
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