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Stuart_Armstrong comments on A toy model of the control problem - Less Wrong Discussion
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It would be neat to actually make an implementation of this to show sceptics. It seems to be within the reach of a MSc project or so. The hard part is representing 2-5.
I would suggest modelling it as "B outputs 'down' -> B goes down iff B active", and similarly for other directions (up, left, and right), "A output 'sleep' -> B inactive", and "A sees block in lower right: output 'sleep'" or something like that.