What on earth does that have to do with the halting problem? A computer going into an infinite loop is not the halting problem. If you meant that you can't tell whether a regular-expression denotes an infinite language, that's not quite right either. It's infinite if and only if it contains an infinite quantifier (+, *, {m,}), which is an easy property to check.
blokhead
Comment on Re^2: back translating regular expressions