Challenge: Existing decoding algorithms treat SQL queries as a string and produce unhelpful token-level diversity in the top-k.
Approach: They propose a benchmarking algorithm that generates all SQLs in top-k ranked outputs . they use plan-based template generation and constrained infilling to bridge this gap .
Outcome: The proposed algorithm is 2.5 times more effective than state-of-the-art models at generating all candidate SQLs in the top-k ranked outputs.

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Challenge: Natural language interfaces are often ambiguous, vague, or underspecified, giving rise to multiple valid interpretations.
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Challenge: Existing benchmarks assume a single source of ambiguity and rely on user interaction for resolution, overlooking realistic failure modes.
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