WIP: parameterise operators with boolean result by the result integer type

This PR parameterises Caesium's operators with a "boolean" result (i.e. the comparison operators as well as the derived && and || operators) by a result integer type (which was hard-coded before to i32) as a step to use Caesium for modelling other C-like languages with different modelling of boolean results (e.g. Rust, which uses single-byte booleans).

Concretely, the changes can be summarised as:

• add a parameter rit to the affected operators and use that for the operational semantics of these operators, replacing the i32 used before.
• adapt the existing notations for these operators to reflect this.
• add new derived notations in lang/c_notations.v that instantiate the operators with i32 so that the codegen for RefinedC does not need to be changed much, and change the Coq codegen to also import this new file.
• adapt the typing proofs to work for the changed operators instantiated to i32. Possibly, it might be desirable to support other result types even for C and to generalize the proofs accordingly, but I'm not sure.

The existing examples in the repo compile with these changes, but I haven't tested more exhaustively yet.

I had a quick look, and that seems pretty good to me so far.

Note however that we only have CI on branches with names starting with ci/ (just CI) or time/ (CI + data on https://coq-speed.mpi-sws.org). It would probably make sense to rename your branch into something like ci/lang-bool-param so that we get CI.

Thanks for taking a look!

Oh, I didn't know that. Seems like renaming branches in Gitlab isn't a thing yet (Github only recently added it), so I'll create a new MR and close this one.

mentioned in merge request !99 (merged)

Closed in favour of !99 (merged)

closed