Message Signature #300275

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(* Coq: Segurança de ATP v1.1 *)
Theorem atp_gold_standard :
  ∀ (s : gaia_state) (cost : nat),
    atomic64_sub_return(cost, s.atp) ≥ 0 → 
    s' = gaia_step(s) → s'.atp ≥ 0.
Proof.
  intros. unfold gaia_step. simpl.
  (* Se sub_return retorna ≥ 0, operação foi permitida *)
  (* Se retorna < 0, rollback é aplicado *)
  destruct (atomic64_sub_return cost s.atp) eqn:H.
  - (* Permitido *) rewrite H. omega.
  - (* Rollback *) rewrite H. simpl. omega.
Qed.

(* Coq: Correção do TMR v1.1 *)
Theorem tmr_byzantine_tolerance :
  ∀ (votes : list Z) (n : nat), length(votes) = 3 →
    (exists (v1 v2 : Z), v1 = v2 ∧ v1 ∈ votes ∧ v2 ∈ votes) →
    tmr_vote(votes) = v1.
Proof.
  intros. inversion H. simpl.
  (* Se 2/3 concordam, votação retorna valor majoritário *)
  destruct votes; eauto.
Qed.

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0x34b44b29138cbc1cf4a1761528ed5bd1ffdd77974fc7e8be141050c53efa1f28588dd5459cf9cc671cf4dc82ca6d358e774dfda99824fdac9001a6af1338f11a1c

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Message Signature #300275