During the April 2013 workshop I rephrased this as the principle “The actions and sensor values of the offspring should not appear outside of quantifiers”. Justification: If we have to reason case-by-case about all possible actions, all possible sensor values, and all possibles states of the world, our child’s size must be less than or equal to “the number of cases we can consider” / “child’s sensor state space” x “child’s action state space” x “world state space” which in general implies a logarithmically smaller child. I call this the Vingean Principle.
During the April 2013 workshop I rephrased this as the principle “The actions and sensor values of the offspring should not appear outside of quantifiers”. Justification: If we have to reason case-by-case about all possible actions, all possible sensor values, and all possibles states of the world, our child’s size must be less than or equal to “the number of cases we can consider” / “child’s sensor state space” x “child’s action state space” x “world state space” which in general implies a logarithmically smaller child. I call this the Vingean Principle.