Arma 3 is also currently in it's ALPHA stage, I hope you didn't forget that. With that in mind it is quite possable the game currently has copy protection i.e FADE, but not Anti-Cheat i.e Battle-Eye / VAC etc. Best bet is to wait and see what BI implements into Beta / Final, on the plus side if hacking is so rife at this stage it is possable BI will implement Anti-Cheat sooner rather than later.

Hello Astaroth, I have discovered the root of this issue I believe.

I was able to run the Alpha for at least 6 hours today, by slightly upping the Core Voltage on my Nvidia GTX 580. So I apologise for what I think was a false alarm. Eitherway you may wish to make a note that quite a few GTX 580's seem to be 'under voltage' and thus don't like to play nice with Direct X 10 / 11 games, just incase this issue appears for others. Once again I apologise for my error, and thank you for your time and assitance.

A dmp file isn't created I'm afraid, all I have in the folder under
"C:\Users\<Name>\AppData\Local\Arma 3 Alpha\"
is the rtp file itself, there are no other files within the folder.
The rtp file has been uploaded to mediafire and is located here:
http://www.mediafire.com/?3udk43s76t75iae

Certainly Astaroth, I was unable to just upload the .rpt file so it is contained within the attached .rar file. I hope it will be helpful.

After further testing, it appears that the lockups may not actually due to the destruction of vehicles. It appears that lockups occur randomly as the game is played, but the Alpha does always end up causing a lockup.