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Showed that the constrained state property is decidable for ELMO #361

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6 changes: 6 additions & 0 deletions theories/Core/Equivocation.v
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Original file line number Diff line number Diff line change
Expand Up @@ -79,6 +79,12 @@ Proof.
by apply sum_weights_subseteq.
Qed.

#[export] Instance not_heavy_dec
`{BasicEquivocation st validator Cv threshold}
`{!DecidableReachableThreshold validator Cv threshold} :
forall (s : st), Decision (not_heavy s).
Proof. by intros s; apply rt_dec. Qed.

(** *** State-message oracles and endowing states with history

Our first step is to define some useful concepts in the context of a single VLSM.
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5 changes: 5 additions & 0 deletions theories/Core/ReachableThreshold.v
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Expand Up @@ -20,6 +20,11 @@ Class ReachableThreshold V Cv (threshold : R) `{Hm : Measurable V} `{FinSet V Cv

#[global] Hint Mode ReachableThreshold - - - ! ! ! ! ! ! ! ! ! ! : typeclass_instances.

Class DecidableReachableThreshold V Cv (threshold : R) `{ReachableThreshold V Cv threshold} :=
rt_dec :> forall (vs : Cv), Decision (sum_weights vs <= threshold)%R.

#[global] Hint Mode DecidableReachableThreshold - - - ! ! ! ! ! ! ! ! ! ! ! : typeclass_instances.

Section sec_reachable_threshold_props.

Context
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