GitLab

This also solves a name clash with the extension order of CMRAs.

This reverts commit 20b4ae55bdf00edb751ccdab3eb876cb9b13c99f, which does
not seem to work with Coq 8.5pl2 (I accidentally tested with 8.5pl1).

This makes type checking more directed, and somewhat more predictable.

On the downside, it makes it impossible to declare the singleton on
lists as an instance of SingletonM and the insert and alter operations
on functions as instances of Alter and Insert. However, these were not
used often anyway.

There was not really a need for the lattice type classes, so I removed
these.

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 singleton maps notation is now also more consistent with the
insert <[_ := _]> _ notation for maps.

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

Also do some minor clean up.

Important changes in the core semantics:
* Types extended with function types. Since function types are a special kind
  of pointer types, types now have an additional mutual part called "ptr_type".
* Pointers extended with function pointers. Theses are just names that refer
  to an actual function in the function environment.
* Typing environments extended to assign argument and return types to function
  names. Before we used a separate environment for these, but since the
  argument and return types are already needed to type function pointers, this
  environment would appear in pretty much every typing judgment.

As a side-effect, the frontend has been rewritten entirely. The important
changes are:

* Type checking of expressions is more involved: there is a special kind of
  expression type corresponding to a function designator.
* To handle things like block scoped extern function, more state-fullness was
  needed. To prepare for future extensions, the entire frontend now uses a
  state monad.