https://gitlab.com/nomadic-labs/mi-cho-coq
Tip revision: 7ccb33612808dc6eba01b4d54e638e3ebade2924 authored by Raphaƫl Cauderlier on 18 March 2021, 11:08:58 UTC
Use the fuel-free WP in Dexter proofs
Use the fuel-free WP in Dexter proofs
Tip revision: 7ccb336
dexter_verification_ep_updateTokenPoolInternal.v
(* Open Source License *)
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(* Coq *)
Require Import String.
Require Import Michocoq.macros.
Import syntax.
Import comparable.
Require Import NArith.
Require Import ZArith.
Require Import Coq.Setoids.Setoid.
Require Import Coq.micromega.Lia.
From Coq Require Import Program.Tactics.
(* Mi-Cho-Coq *)
Require Import semantics.
Require Import util.
Import error.
Require List.
(* Dexter *)
Require dexter_definition.
Require dexter_spec.
Require Import dexter_util.
Require Import dexter_spec_util.
Module Spec := dexter_spec.
Module Def := dexter_definition.
Import Def.Storage.
Import Tactics.
Require Import contract_semantics.
(* It's better not to unfold compare in this proof,
* this makes it easier to use util.eqb_eq.
*)
Opaque N.mul.
Opaque N.add.
Opaque Z.modulo.
Opaque compare.
Opaque int64bv.sign.
Opaque int64bv.to_Z.
Opaque negb.
Opaque ediv_Z.
Opaque Z.add.
Opaque Z.sub.
Opaque Z.mul.
Opaque N.add.
Opaque N.sub.
Definition ep_updateTokenPoolInternal := Eval vm_compute in Def.ep_updateTokenPoolInternal.
Lemma ep_updateTokenPoolInternal_same : Def.ep_updateTokenPoolInternal = ep_updateTokenPoolInternal.
Proof.
reflexivity.
Qed.
Lemma ep_updateTokenPoolInternal_correct
(env : @proto_env dexter_definition.self_type)
(p : data dexter_definition.parameter_ep_updateTokenPoolInternal_ty)
(sto : data dexter_definition.storage_ty)
(ret_ops : Datatypes.list (data operation))
(ret_sto : data dexter_definition.storage_ty) :
eval0_seq_precond env Def.ep_updateTokenPoolInternal
(fun x => x = (ret_ops, ret_sto, tt))
(p, (sto, tt)) <->
Spec.ep_updateTokenPoolInternal env p sto ret_ops ret_sto.
Proof.
rewrite ep_updateTokenPoolInternal_same.
simpl.
destruct_sto sto
tokenPool xtzPool lqtTotal selfIsUpdatingTokenPool freezeBaker manager tokenAddress lqtAddress.
unfold Spec.ep_updateTokenPoolInternal.
repeat unfold_spec.
unfold dexter_definition.Storage.sto_selfIsUpdatingTokenPool.
unfold dexter_definition.Storage.sto_tokenAddress.
unfold dexter_definition.Storage.sto_set_selfIsUpdatingTokenPool.
unfold dexter_definition.Storage.sto_set_tokenPool.
rewrite bool_false_not. rewrite <- Bool.negb_andb.
rewrite <- negb_is_true. rewrite Bool.negb_involutive.
rewrite Bool.andb_true_iff. rewrite (eqb_eq address).
rewrite lt_is_leb. rewrite Bool.negb_false_iff.
rewrite comparison_to_int_tez_compare_le_zero.
intuition; try injection H1; intros; subst; try auto;
try assumption; try injection H3; try intros; try easy.
destruct selfIsUpdatingTokenPool; easy.
Qed.