You provided no information about your system, or OS even. I'm on Mac, so I have to infer the BSOD is a Windows phenomenon?
However, I'm going to make a WAG that your problem is either corrupt source footage or a codec corruption. Replacing the footage or a reinstall of the app may fix your issue.
You can test the corrupt footage theory by duping your sequence, and chopping off the first half. If it exports without issue, then that would implicate some footage early in your original Sequence.
Thermal protection is likely to kick in. Improve your cooling. BSOD is a hardware problem and had nothing to do with Adobe.
Welcome to the forum.
A BSOD is most often hardware related, or it can be caused by a low-level driver, causing an issue for the OS. This ARTICLE goes into more detail, and also has links to some tools, that can be very useful in finding where the problem lies.
I had this in the start of CS5, and it turned out to be faulty RAM, so I think Harm could be right that it could be hardware related