Yes, if it is anti-spyware and not the AVG antivirus program it is fine.
Two things for you to do.
One is to disable the auto reboot on error so you can see the bsod.
To do so, please perform the following steps:
1.Right-click My Computer.
3.In the System Properties, select the tab Advanced.
4.In the box called Startup and Recovery, click Settings.
5.A new window will open:
6.Uncheck the box "Automatically restart" in the group System Failure
7.Confirm the changes in both Windows by clicking OK.
Whenever a critical system failure occurs now, you will see a blue screen with a cryptic description of the error. However, the content of this message might help in finding the appropriate solution to the problem.
Note: Most of the critical errors are due to faulty driver installations or incorrect BIOS settings. Especially in case of misbehaving drivers, the blue screens often list the filename of the driver that caused the crash.
The second thing I recommend is to do a Windows Live Safety Scan:
Go to Windows Live Onecare Free Scan
It will say "Get a free PC safety scan"http://safety.live.com/site/en-us/default.htm
Make sure you click "Full Service Scan"
in the middle of the page and not the "Try It Now Free" on the right side.
Allow it to download Active X components.
Choose "Complete Scan" in the window that opens
Do not click on anything else that offers you a free trial or to sign up if you live in the US.
Allow it to scan - it may take quite a while, maybe two hours or so depending on how big your hard drive is and how fragmented your registry and drive are.