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abstract indexed · arXiv 2609.35425 · updated 2026-10-18

Semantic Prefix Oracles for LLM Decoding: Contracts and Differential Validation

First page of Semantic Prefix Oracles for LLM Decoding: Contracts and Differential Validation
From the original paper · arXiv 2609.35425Page 1. Select the image to read the PDF.

The method replaces syntax-only (regular/context-free) constrained decoding, which cannot catch type, scope, or declaration errors, with a grammar-authoring framework that checks semantic constraints during Earley parsing and prunes only provably irreparable prefixes. The cost is substantial upfront engineering: writing a semantic grammar specification per target language, verifying its dead-end-freedom and coverage conditions, ensuring tokenizer vocabulary coverage, and running an Earley-based oracle in the decoding loop, which adds per-token latency beyond standard grammar masks. Failure modes include grammars that violate the sufficient conditions (as the authors' own plain STLC instance did), vocabulary-coverage gaps that break the tokenizer lifting, and no guarantee that semantic validity implies task correctness on harder real-world languages.

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Semantic prefix oracle for constrained decoding
published
2026-09-28

The gains are real but demonstrated only on small language fragments with hand-built grammars, so a small team should wait for mature, maintained grammar libraries for mainstream languages before committing production engineering effort.

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  1. claim 01Paperraft inference
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    The method replaces syntax-only (regular/context-free) constrained decoding, which cannot catch type, scope, or declaration errors, with a grammar-authoring framework that checks semantic constraints during Earley parsing and prunes only provably irreparable prefixes. The cost is substantial upfront engineering: writing a semantic grammar specification per target language, verifying its dead-end-freedom and coverage conditions, ensuring tokenizer vocabulary coverage, and running an Earley-based oracle in the decoding loop, which adds per-token latency beyond standard grammar masks. Failure modes include grammars that violate the sufficient conditions (as the authors' own plain STLC instance did), vocabulary-coverage gaps that break the tokenizer lifting, and no guarantee that semantic validity implies task correctness on harder real-world languages.

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  2. claim 02Paperraft inference

    Semantic-minus-syntactic ablation shows nonnegative gains for all nine matched models, with maxima of +15.2 points on STLC task correctness and +14.3 points on ML validity; differential validation against ocamlc/cc reports zero false prunes across all prefixes of 65 valid programs and 25/30 invalid programs localized mid-stream versus 0/30 for syntax-only decoding.

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