(* Open Source License *)
(* Copyright (c) 2019 Nomadic Labs. <contact@nomadic-labs.com> *)

(* Permission is hereby granted, free of charge, to any person obtaining a *)
(* copy of this software and associated documentation files (the "Software"), *)
(* to deal in the Software without restriction, including without limitation *)
(* the rights to use, copy, modify, merge, publish, distribute, sublicense, *)
(* and/or sell copies of the Software, and to permit persons to whom the *)
(* Software is furnished to do so, subject to the following conditions: *)

(* The above copyright notice and this permission notice shall be included *)
(* in all copies or substantial portions of the Software. *)

(* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR *)
(* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, *)
(* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL *)
(* THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER *)
(* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING *)
(* FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER *)
  (* DEALINGS IN THE SOFTWARE. *)

Require Import Michocoq.macros.
Import syntax.
Import comparable.
Require Import semantics.

Ltac simplify_instruction :=
  match goal with
    |- ?g =>
    match g with
    | context c[semantics.eval_precond ?env (S ?n) ?i ?psi] =>
      is_var i ||
             (let simplified := (eval simpl in (semantics.eval_precond env (S n) i psi)) in
              let full := context c[simplified] in
              let final := eval cbv beta zeta iota in full in
              change final)
    end
  end.

Ltac more_fuel :=
  match goal with
    | Hfuel : (_ <= ?fuel) |- _ =>
      destruct fuel as [|fuel];
      [inversion Hfuel; fail
      | apply le_S_n in Hfuel]
  end.