Just like dating for the first time, depends on how hot she is. Ask her what happened then give her a trial period. Make her know that she's lost your trust and that she has to earn it back.
Tell her no, and make her show you she truly wants you and she's willing to work for it. Set a date, and see how things are going by that date. For instance, say 6 months from now, if she's still after you, and you think there may be a chance, then give it a go. My guess is she won't be after you still, and you'll have moved on as well.
Do it for teh secks, breh. Cheat on her while you're "dating" her, but don't commit to long term. It won't work. Think of her as free booty while you look for The One. Follow the white rabbit.
QFT.... been there, done that (even married her), and wouldn't do it again inext hindsight. Same issues that made you break it off in the first place will most likely manifest the 2nd time around as well.
Of course the possibility is extremely low, but I know a lot of stories where it worked out perfectly and ended up in a 20+ year marriage plus kids. So in the end, don't let other people tell you what to do, you're the only one who knows what the relationship was like, what kind of person she is and whether it is worth it to try again. I'd think the regret of not trying would be bigger than trying and it not working out again.
No, however one of my exes is now one of my really good friends after giving it a 2nd go. We both found out that while we like each other a lot, we weren't in love with each other (at least on my end). But if I didn't give it a 2nd shot, I doubt I would be friends with her because she really did change after our first go round (as did I). Don't live life according to your friends and family breh, make your own mistakes and your own accomplishments.
Ask yourself this, if you were to get back together, would you be wondering if she was telling you the truth (or what she was doing when she's not around you)? Having any doubt, and having to be a detective, is not a foundation for any relationship. I think you know this. You need to protect your time, and your heart, and this girl has shown she's NOT worth the investment. Let some other guy take a chance on her.
I have went down this path before. She's going to do it again. She's trying to ego boost herself. Tell her to tattoo your name on her ass cheek and you will get back with her.
I know of a lot of case that did not work out and a few that did. The question I have for you is do you want her back?