Rather than use traditional hints, each square must be a match of the regular expression associated with the row or column.
I have so far solved about half of the "crossword" and it is clear that the answer is going to be
YOUR BEST AND WISEST REFUGE FROM ALL TROUBLES IS IN YOUR SCIENCE - ADA LOVELACE.
[EDITED after finishing it to add:]
And it does turn out that the regex clues alone are enough to nail it down, though I briefly thought they wouldn't.
Not that there's any extra information in it, but:
[EDITED some time afterwards because I noticed I'd omitted a word when I posted this originally. That was a typo rather than an actual error in what I thought the answer was. Now fixed, anyway.]