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The program will not assume is monotone. Monotonicity may follow only when the admissible-control set shrinks consistently with time and the horizon subalgebras are nested in the required sense. If reopening grants a qualitatively new route at a later cutoff, a naïve implementation could violate the ordering. The paper must prove the conditions or report the nonmonotonicity as a definition failure.
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Equation 46 · Evolutionary Physics
How Fast Can a Horizon Learn Which Path You Took?
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
The program will not assume is monotone. Monotonicity may follow only when the admissible-control set shrinks consistently with time and the horizon subalgebras are nested in the required sense. If reopening grants a qualitatively new route at a later cutoff, a naïve implementation could violate the ordering. The paper must prove the conditions or report the nonmonotonicity as a definition failure.