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Paper · arXiv

Generating in the Limit with Infinitely Many Hallucinations

The classic paradigm of language identification in the limit models learning as a game between an adversary, who reveals strings from an unknown target language, and a learner tasked with identifying that language. The recently introduced framework of language generation in the limit shifted the objective to better reflect modern language modeling, requiring the learner to produce valid, unseen strings from the target language. Related work highlighted a fundamental tension: a broad coverage of the target often comes at the cost of validity. We introduce a new notion of precision and recast this problem as the classic recall-precision trade-off. We analyze generation in the limit under va...

AuthorsIrene Strauss, Alexandra Butoi, Ryan Cotterell
Primary categorycs.CL
Published8 June 2026
Last updated at source8 June 2026
cs.CLcs.FLcs.LG
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