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I have an alternative suggestion for english names. After thinking about it lots more, I am not sure that there needs to be a one-to-one match between short names and english names, just the same expressive power.
How about 'maybe', 'greedy', and 'non-greedy':
* (greedy 0 <sre> ...)
+ (greedy 1 <sre> ...)
>= (greedy <n> <sre> ...)
= (greedy <n> <n> <sre> ...)
** (greedy <n> <m> <sre> ...)
?? (non-greedy 0 1 <sre> ...)
*? (non-greedy 0 <sre> ...)
**? (non-greedy <n> <m> <sre> ...)