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arXiv — cs.AI preprintsInternational21 October 2026

Binary Discrete Diffusion: Candidate-Set Diffusion for Logic and Planning Tasks

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arXiv:2610.28543v1 Announce Type: cross Abstract: Discrete diffusion models iteratively denoise a noisy sequence of categorical data such as text, enabling any-order generation with self-correction and in-filling capabilities. This makes them promising candidates for reasoning, planning, and constrained-generation tasks like coding and math. Yet masked and uniform diffusion erase a token's identity in a single corruption event, so their noisy states cannot explicitly represent partially resolved uncertainty in which several alternatives remain plausible. We close this gap with Binary Discrete
— arXiv — cs.AI preprints

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