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LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning

Summary

Long-horizon execution in LLMs remains unstable even with high-level strategies. This work shows that while decomposition is essential for stability, extreme decomposition creates a 'no-recovery bottleneck' due to highly non-uniform error distribution. The proposed Lookahead-Enhanced Atomic Decomposition (LEAD) incorporates short-horizon future validation and aggregating overlapping rollouts, enabling the o4-mini model to solve Checkers Jumping up to complexity n=13, whereas extreme decomposition fails beyond n=11.

LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning
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content type paperpublished July 2026

LEAD: Breaking the No-Recovery Bottleneck in Long-Horizon Reasoning

AuthorsDenys Pushkin†, Emmanuel Abbé†

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Long-horizon execution in Large Language Models (LLMs) remains unstable even when high-level strategies are provided. Evaluating on controlled algorithmic puzzles, we demonstrate that while decomposition is essential for stability, extreme decomposition creates a “no-recovery bottleneck”. We show that this bottleneck becomes critical due to highly non-uniform error distribution, where consistent errors on a few “hard” steps become irreversible. To address this, we propose Lookahead-Enhanced Atomic Decomposition (LEAD). By incorporating short-horizon future validation and aggregating overlapping rollouts, LEAD provides enough isolation to maintain stability while retaining enough local context to correct errors. This enables the o4-mini model to solve Checkers Jumping up to complexity n = 13, whereas extreme decomposition fails beyond n = 11.

† EPFL

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Key points and analysis

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Key points

  • Long-horizon execution in LLMs remains unstable even with provided high-level strategies.
  • Extreme decomposition creates a 'no-recovery bottleneck' where errors on a few hard steps become irreversible.
  • LEAD combines short-horizon future validation and overlapping rollout aggregation to correct errors.
  • LEAD raises the solvable complexity from n=11 to n=13 in Checkers Jumping.

Highlights and analysis are generated automatically and may contain errors. Check the original source.