What i'm working on -- Self Control Reservoir Network -- Can this take us a step closer to AGI?

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I have found this kind of architecture can be experimented with if one thinks of prompts as programs. For example, even gpt-4 can’t solve

find an arithmetic expression over the integers 4 and 6 that evaluates to 24. You can only use each integer once

but, if I add a loop that seems very similar to your idea, but at the prompt level, gpt-3.5 has no problem. Steps 3/4 seem similar to your control-gate, I think?

find an arithmetic expression over the integers 2, 3, and 6 that evaluates to 12. You must use each integer exactly once. use the following problem-solving method:

  1. generate a trial expression
  2. evaluate the trial expression.
  3. test if the result of step 2 equals 12
  4. if test is positive, respond with trial expression and STOP.
  5. Otherwise, add trial expression to the list of expressions tried
    Loop until test is positive
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