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The Polylog AI Intelligence Brief

Morning Edition · Tuesday, June 30, 2026

A Theory Paper Asks Whether Language Models Can Learn While Hallucinating Forever

New work extends the classic 'generation in the limit' framework to ask what happens when a learner never stops producing invalid strings.

A theoretical contribution, Generating in the Limit with Infinitely Many Hallucinations, works in the formal model of language learning as a game between an adversary, which reveals strings from an unknown target language, and a learner tha…

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Part of a tracked trend

Theoretical Limits on Hallucination

Formal learning theory increasingly frames hallucination as a bounded property rather than an eliminable defect, shifting reliability work toward verification layers around models.