[akiarie]

It's because we're dealing with an extreme example in which a program's safety depends on the resolution of an open problem.

If the program's safety depends on the semantics of C and how they've been used in a function, it will be possible to deal with all the conditions upon which a program could be unsafe (in the sense of the standard safety vulnerabilities – like those listed here [0]). Doing so would lead to denouement, so that the annotation to the main function would be empty (meaning none of those bugs can occur).

Programs that might be unsafe should not be verifiable.

[0]: https://alexgaynor.net/2020/may/27/science-on-memory-unsafet...

[muldvarp]

> It's because we're dealing with an extreme example in which a program's safety depends on the resolution of an open problem.

It really isn't. The second example is what a reasonable C programmer would produce if you asked them to collect statistics about the chromatic number of random planar graphs. It also isn't based on any open problem. It's overall a very reasonable C program and a small one at that. It's safety also "depends on the semantics of C and how they've been used in a function", specifically on the fact that accessing an array is safe if and only if the index is in bounds. Out of bounds accesses to memory are probably the most common critical vulnerability in C programs, so it is essential that Xr0 prevents them.

I would love to see how you would write this reasonable program in a way that leads to "denouement".

> Programs that might be unsafe should not be verifiable.

Funnily enough, that's exactly what you criticize Rust for. It's not at all clear that writing programs with "denouement" is any less limiting than Rust. In fact, Frama-C (where you also try to write your code in such a way that the annotations become simpler) feels more limiting than Rust.

[akiarie]

> It really isn't. The second example is ...

So will you admit that the first example has been sufficiently addressed? Because I was commenting on the problem involving the Collatz conjecture.

> It's safety also "depends on the semantics of C and how they've been used in a function", specifically on the fact that accessing an array is safe if and only if the index is in bounds. Out of bounds accesses to memory are probably the most common critical vulnerability in C programs, so it is essential that Xr0 prevents them.

True. As you said earlier:

> The safety of this program requires you to prove that `generate_random_planar_graph` always returns a planar graph, that `compute_chromatic_number` correctly identifies the chromatic number and that the chromatic number of every planar graph is less than 5.

This can obviously only be proven if we have the bodies of `generate_random_planar_graph` and `compute_chromatic_number`. Please provide these, and then I can attempt to answer. Because our whole point in Xr0 is that safety comes down to formalising interfaces – without interfaces for these functions we cannot investigate the safety of `main`.