I think that there are more dimensions than such classification implies. "General" naturally means that it can be applied to any intellectual task (dimension of

I think that there are more dimensions than such classification implies. "General" naturally means that it can be applied to any intellectual task (dimension of generality), but "super" means that it can solve them faster/better than humans (dimension(s) of speed and quality). Looks like slow general and fast narrow AIs already exist, so realistically the thing people call AGI (AI at least as general and as fast as human mind at anything) will also be ASI (faster/better than human mind at something). Russian classification traditionally also have distinction between terms "artificial intelligence" and "artificial mind" ("искусственный разум") to keep the problems of autonomy/agency/consciousness out of field of AI.