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Paper · arXiv

Second-Order Problem Solving for Recursive Self-Improvement in Formal Verification

Recursive self-improvement (RSI) enables agents to iteratively optimize their workflows via execution feedback. However, standard RSI typically operates as a first-order optimizer: it repeatedly patches surface-level parameters in response to immediate failure symptoms, often leading to trial-and-error thrashing without resolving underlying mechanisms. To address this limitation, we introduce SO-RSI, a framework that elevates workflow optimization to a second-order diagnostic inquiry, investigating why failures occur before committing to structural interventions. SO-RSI passively monitors execution traces for three structural anomalies (recurrence, opposing edits, and expectation mismatch...

AuthorsYuxuan Jiang, Aditya Vempaty, Ashish Jagmohan
Primary categorycs.AI
Published5 October 2026
Last updated at source6 October 2026
cs.AI
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