Sounds like a good idea, but here are my reservations/warnings:
1) For the kind of work you describe, you would probably need a high-level security clearance and continued scrutiny on your life (to make sure you don't share it with the wrong people), and you probably wouldn't be able to publicly discuss your work. (i.e., where SIAI can hear it.)
2) What are your chances you'll actually get to work on the aspect of the problem that relates to Friendliness?
The scrutiny isn't so bad. They're mainly looking for illegality or potential for corruption. And even if you've committed illegal acts, so long as you own up to it, and it wasn't in the recent past (5 to 7 years), it's generally OK. Felonies are a different matter, of course.
A secret clearance is an interview, taking fingerprints, interviews of family and friends, interviews of neighbors, a credit check, and will likely require drug testing. Top secret clearances and above lead to polygraphs and heavy grilling, with monitoring for new developments. They'r...
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