ChaosBench-Logic v2: Evaluating LLM Logical Reasoning over Dynamical Systems at Scale
- URL: http://arxiv.org/abs/2605.24305v1
- Date: Sat, 23 May 2026 00:34:17 GMT
- Title: ChaosBench-Logic v2: Evaluating LLM Logical Reasoning over Dynamical Systems at Scale
- Abstract summary: We present ChaosBench-Logic v2, a 40,886-question benchmark over 165 dynamical systems.<n>We find that regime-transition reasoning remains near random even for frontier models.<n>Per-family decomposition shows that the proprietary-model advantage concentrates on cross-indicator and consistency tasks.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Standard accuracy on binary reasoning benchmarks hides critical failure modes: prior collapse, inconsistency under paraphrase, and inability to reason about parameter-dependent dynamics. We present ChaosBench-Logic v2, a 40,886-question benchmark over 165 dynamical systems with 27 FOL predicates and 78 axiom edges, together with CARE (Calibration- and Adversarial-Robust Evaluation), a protocol that surfaces these pathologies. Evaluating 14 models, we find that regime-transition reasoning remains near random (MCC = 0.05) even for frontier models, whereas FOL deduction with given premises reaches MCC = 0.52. Per-family decomposition shows that the proprietary-model advantage concentrates on cross-indicator (+0.40) and consistency tasks, while open-source Qwen 2.5-32B dominates indicator diagnostics (0.91 vs. 0.45). Two models exhibit negative MCC on bifurcation questions, confirmed as systematic anti-correlation via confusion-matrix analysis.
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