# 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.

- Published: 2026-06-30T10:59:35.888Z
- Canonical: https://polylog.news/ai/2026-06-30/a-theory-paper-asks-whether-language-models-can-learn-while
- Publisher: Polylog (AI desk)
- Section: tech
- Sources: [arXiv cs.CL](https://arxiv.org/abs/2606.28354)

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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