This has some advantages:

- Evaluation contexts behave like a proper "Huet's zipper", and thus:
  + We no longer need to reverse the list of evaluation context items in the
    `reshape_expr` tactic.
  + The `fill` function becomes tail-recursive.
- It gives rise to more definitional equalities in simulation proofs using
  binary logical relations proofs.

  In the case of binary logical relations, we simulate an expressions in some
  ambient context, i.e. `fill K e`. Now, whenever we reshape `e` by turning it
  into `fill K' e'`, we end up with `fill K (fill K' e')`. In order to use the
  rules for the expression that is being simulated, we need to turn
  `fill K (fill K' e')` into `fill K'' e'` for some `K'`. In case of the old
  `foldr`-based approach, we had to rewrite using the lemma `fill_app` to
  achieve that. However, in case of the old `foldl`-based `fill`, we have that
  `fill K (fill K' e')` is definitionally equal to `fill (K' ++ K) e'` provided
  that `K'` consists of a bunch of `cons`es (which is always the case, since we
  obtained `K'` by reshaping `e`).

Note that this change hardly affected `heap_lang`. Only the proof of
`atomic_correct` broke. I fixed this by proving a more general lemma
`ectxi_language_atomic` about `ectxi`-languages, which should have been there
in the first place.

This patch was created using

  find -name *.v | xargs -L 1 awk -i inplace '{from = 0} /^From/{ from = 1; ever_from = 1} { if (from == 0 && seen == 0 && ever_from == 1) { print "Set Default Proof Using \"Type*\"."; seen = 1 } }1 '

and some minor manual editing

This reverts commit 2a7755fe because
it is no longer needed after Matthieu Sozeau reverted this change in
Coq 8.6. See also the discussion:

  [Coq-Club] Coq 8.6 typeclasses behavior change

at 11/16/2016 02:14 PM.

In Coq 8.6 type class search is not called recursively on premises
that are not type classes. To that end, we use a hint extern to invoke
an ordinary auto.

And also rename the corresponding proof mode tactics.

Also, since do_head_step no longer has a purpose, I have removed it
and just use a bunch of eauto hints.

This generalization is surprisingly easy in Iris 3.0, so I could not
resist not doing it :).

This commit features:

- A simpler model. The recursive domain equation no longer involves a triple
  containing invariants, physical state and ghost state, but just ghost state.
  Invariants and physical state are encoded using (higher-order) ghost state.

- (Primitive) view shifts are formalized in the logic and all properties about
  it are proven in the logic instead of the model. Instead, the core logic
  features only a notion of raw view shifts which internalizing performing frame
  preserving updates.

- A better behaved notion of mask changing view shifts. In particular, we no
  longer have side-conditions on transitivity of view shifts, and we have a
  rule for introduction of mask changing view shifts |={E1,E2}=> P with
  E2 ⊆ E1 which allows to postpone performing a view shift.

- The weakest precondition connective is formalized in the logic using Banach's
  fixpoint. All properties about the connective are proven in the logic instead
  of directly in the model.

- Adequacy is proven in the logic and uses a primitive form of adequacy for
  uPred that only involves raw views shifts and laters.

Some remarks:

- I have removed binary view shifts. I did not see a way to describe all rules
  of the new mask changing view shifts using those.
- There is no longer the need for the notion of "frame shifting assertions" and
  these are thus removed. The rules for Hoare triples are thus also stated in
  terms of primitive view shifts.

TODO:

- Maybe rename primitive view shift into something more sensible
- Figure out a way to deal with closed proofs (see the commented out stuff in
  tests/heap_lang and tests/barrier_client).

In particular, remove ectx_language.atomic, because it seems unused
expect for a smart constructor for language.atomic.

* Values are considered as atomic expressions (this does not hurt, and
  this makes the proofs of atomicity simpler).

I also reverted 7952bca4 since there is no need for atomic to be a
boolean predicate anymore. Moreover, I introduced a hint database
fsaV for solving side-conditions related to FSAs, in particular,
side-conditions related to expressions being atomic.

This gets rid of the (ambiguous) notation %l, because we can declare
LitLoc as a coercion. It also shortens the code.

This required a new ectx axiom: Positivity of evaluation contexts. This axiom was
also present in the old Iris 1.1 development, back when it still derived lifting
axioms for ectx languages.

Thanks to Amin Timany for the suggestion.

For consistency's sake.

simplify_equality        => simplify_eq
simplify_equality'       => simplify_eq/=
simplify_map_equality    => simplify_map_eq
simplify_map_equality'   => simplify_map_eq/=
simplify_option_equality => simplify_option_eq
simplify_list_equality   => simplify_list_eq
f_equal'                 => f_equal/=

The /= suffixes (meaning: do simpl) are inspired by ssreflect.

The tactic injection H as H is doing exactly that.

It now also reshapes expressions as values for contexts that need
values such as AppECtx.

Also, make our redefinition of done more robust under different
orders of Importing modules.