Equation 9 · AI Feeds on the Distance Between an Intention and an Outcome
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Symbol K_t
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subscript
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What the article says around this equation
Then comes the factor most benchmark descriptions hide inside “multi-step.” Let be the number of consequential state transitions required to go from the fresh container to the terminal predicate. It is not clicks, tokens, shell commands, or internal thoughts. A transition counts only when it changes a repository-relevant state that must be deliberately repaired, preserved, or validated before the hidden predicate can be attempted: for example, locating the affected behavior, altering a coupled implementation boundary, updating a declared behavior, or establishing a verification state. A pre-registered task graph, built from the frozen task package and reviewed by raters blind to…
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Then comes the factor most benchmark descriptions hide inside “multi-step.” Let be the number of consequential state transitions required to go from the fresh container to the terminal predicate. It is not clicks, tokens, shell commands, or internal thoughts. A transition counts only when it changes a repository-relevant state that must be deliberately repaired, preserved, or validated before the hidden predicate can be attempted: for example, locating the affected behavior, altering a coupled implementation boundary, updating a declared behavior, or establishing a verification state. A pre-registered task graph, built from the frozen task package and reviewed by raters blind to outcomes, collapses mechanical command sequences into one transition and splits semantically independent commitments into more than one. Disagreement about is reported as measurement uncertainty, not settled by the most impatient rater.
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