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This research introduces SHIM, a lightweight correction method that leverages existing parser states in Grammar Constrained Decoding to reduce distributional bias without modifying the underlying language model. By aligning generated outputs closer to the model's true grammar-conditioned distribution, the approach significantly improves generation quality over standard masking or costly online sampling techniques. The technique is particularly relevant for text-to-SQL and bit-vector generation tasks where syntactic validity is critical.
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The Parser Already Knows: Lightweight Bias Correction in Constrained Decoding

arXiv2 min read

arXiv:2608.10137v2 Announce Type: replace Abstract: Grammar Constrained Decoding (GCD) forces Language Models (LMs) to produce syntactically valid outputs by masking out non-conforming tokens at each step. However, because masking only checks whether each token is valid so far, the resulting distribution over complete outputs diverges from the LM's own distribution conditioned on the grammar, biasing generation toward valid but suboptimal outputs. Online sampling can restore this distribution, but only through costly iterative resampling. Our key insight is that the parser and lexer states that GCD tools already maintain carry a strong signal about future grammatical validity. We introduce SHIM, a lightweight, offline-trained correction of the LM's next-token probabilities, conditioned on this syntactic and lexical state together with candidate next tokens. Since GCD tools already compute these states, SHIM leaves the LM itself untouched. Across bit-vector and text-to-SQL grammars, this correction substantially narrows the gap to the LM's grammar-conditioned distribution compared to masking and online sampling, while running at nearly masking's speed. Even a variant that sees only the next token can improve on both baselines, making SHIM usable with GCD tools that do not expose their parser state.

Abstract:Grammar Constrained Decoding (GCD) forces Language Models (LMs) to produce syntactically valid outputs by masking out non-conforming tokens at each step. However, because masking only checks whether each token is valid so far, the resulting distribution over complete outputs diverges from the LM's own distribution conditioned on the grammar, biasing generation toward valid but suboptimal outputs. Online sampling can restore this distribution, but only through costly iterative resampling. Our key insight is that the parser and lexer states that GCD tools already maintain carry a strong signal about future grammatical validity. We introduce SHIM, a lightweight, offline-trained correction of the LM's next-token probabilities, conditioned on this syntactic and lexical state together with candidate next tokens. Since GCD tools already compute these states, SHIM leaves the LM itself untouched. Across bit-vector and text-to-SQL grammars, this correction substantially narrows the gap to the LM's grammar-conditioned distribution compared to masking and online sampling, while running at nearly masking's speed. Even a variant that sees only the next token can improve on both baselines, making SHIM usable with GCD tools that do not expose their parser state.

Computation and Language (cs.CL); Machine Learning (cs.LG)

arXiv:2608.10137 [cs.CL]

(or arXiv:2608.10137v2 [cs.CL] for this version)

https://doi.org/10.48550/arXiv.2608.10137 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 279 words

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