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
ritto the affected operators and use that for the operational semantics of these operators, replacing the
- adapt the existing notations for these operators to reflect this.
- add new derived notations in
lang/c_notations.vthat instantiate the operators with
i32so 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.