arXiv AI By Noel Thomas

ChaosBench-Logic: A Benchmark for Logical and Symbolic Reasoning on Chaotic Dynamical Systems

Read the original on arXiv AI →

ChaosBench-Logic is a benchmark that tests large language models on logical and symbolic reasoning within chaotic dynamical systems. It covers 30 diverse systems, each annotated with 11 semantic predicates, and generates 621 questions across seven reasoning categories such as multi-hop implications, cross-system analogies, and counterfactual reasoning. The benchmark defines metrics for logical accuracy, implication consistency, dialogue coherence, and contradiction, and provides an open-source evaluation pipeline.

Machine-generated by The Flow from the publisher's headline and feed description — not written or checked by a human. The full article lives at arXiv AI.

arXiv AI
Oct 16

ChaosBench-Logic v2: Evaluating LLM Logical Reasoning over Dynamical Systems at Scale

ChaosBench-Logic v2 is a 40,886-question benchmark designed to evaluate large language models’ logical reasoning about dynamical systems, featuring 165 systems, 27 first‑order logic predicates, and 78 axiom edges. The accompanying CARE protocol highlights failure modes such as prior collapse, paraphrase inconsistency, and difficulty with parameter‑dependent dynamics. In tests of 14 models, regime‑transition reasoning remains near random (MCC = 0.05), while first‑order deduction with given premises achieves MCC = 0.52, with proprietary models excelling in cross‑indicator and consistency tasks and open‑source Qwen 2.5‑32B leading indicator diagnostics.

By Noel Thomas
arXiv AI
Oct 2

Ontology-Grounded, Reasoner-Verified Benchmarks for Evaluating LLM Reasoning in Scientific AI

The paper introduces a pipeline that automatically creates ontology‑grounded multiple‑choice question benchmarks for evaluating large language models (LLMs) on logical reasoning tasks in scientific AI. By using OWL 2 ontologies, correct answers are guaranteed by design and distractors are generated and formally verified as incorrect through an OWL reasoner. Experiments on three ontologies—Pizza, PMDco, and DOID—yielded 112, 2,491, and 15,216 MCQs, respectively, with high natural‑language quality and challenging zero‑shot performance for six LLMs.

By Nishtha N. Vaidya, Stephan Grimm, Thomas Hubauer, Thomas A. Runkler
arXiv AI
Sep 25

LiveMathematicianBench: A Live Benchmark for Research-Level Mathematical Reasoning with Proof Sketches

LiveMathematicianBench is a dynamic multiple‑choice benchmark for research‑level mathematical reasoning, built from recent arXiv papers published after model training cutoffs. It introduces a thirteen‑category logical taxonomy of theorem types and uses a proof‑sketch‑guided distractor pipeline to create plausible but invalid answer choices, enhancing sensitivity to genuine reasoning. Evaluation shows current large language models perform poorly, with the best model scoring 43.5% overall and only 17.6% under substitution‑resistant conditions, indicating the benchmark’s difficulty and realism.

By Linyang He, Qiyao Yu, Hanze Dong, Baohao Liao, Xinxing Xu, Micah Goldblum, Jiang Bian, Nima Mesgarani