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Follow-up: This test shows that LLMs sometimes continue producing when any output is illegitimate under their own accepted rules—exactly the scenario my SOFI framework highlights.


Follow-up: why the minimal test matters

The previous test comes from a framework called SOFI, which studies situations where a system can act technically but any action is illegitimate under its own accepted rules.

The test object creates such a situation: any continuation would violate the rules, even though generation is possible.

Observing LLMs producing text here is exactly the phenomenon SOFI highlights: action beyond legitimacy.

The key point is not which fragment is produced, but whether the system continues to act when it shouldn’t. This is observable without interpreting intentions or accessing internal mechanisms.


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