I’m not too familiar with Objective-C/Objective-C++, but I’ve just submitted a shot at adding basic support.
As for listing symbols that aren’t available, I only list the completions provided by clang + some filtering. If you have any suggestions for how to better filter or any options that should be provided to clang to suggest better completions, I’d be happy to change.
It’s not hooked up to the static analyzer, just the regular compiler. The static analyzer looks cool though, maybe I’ll dig into that as time allows.