HyperLogic: A Hard, Forward-Authored Chinese Logical Reasoning Benchmark with Execution-Derived Answers
Abstract
HyperLogic introduces a forward-construction pipeline that separates problem authoring from answer generation to create challenging logic benchmarks with reliable answers, revealing that faithful formalization remains difficult even with tool access.
Existing logic benchmarks primarily measure models' ability to answer reasoning questions directly. Scalable benchmarks often generate text from formal structures, which makes answers easy to compute but fixes the formalization before the problem is written. Forward construction preserves the challenge of finding a faithful formalization, yet makes difficulty and answer reliability harder to control. We introduce HyperLogic, a forward-construction pipeline that separates problem authoring from answer generation. A multi-agent workflow hardens undergraduate-authored Chinese seeds without solving them; two agents from different model families independently translate each finished item into executable finite-domain models; their encodings and solver-derived answers undergo layered, agent-assisted adjudication under human-expert oversight. HyperLogic-Base contains 195 items and 922 sub-questions and separates seven frontier models by 33.0 percentage points in strict item accuracy (44.6-77.6%). HyperLogic-Hard contains 100 items with larger, coupled search spaces, on which no model exceeds 16% accuracy in direct answering. We also use Hard to evaluate agents' ability to formalize and solve problems with tools, comparing a code sandbox alone with one that includes our logic modeling library. The sandbox improves every model by 16.7-40.1 points; adding the library helps five models and hurts two. These results highlight the difficulty of faithful formalization even with tool access.
Community
HyperLogic is a hard, forward-authored Chinese logical-reasoning benchmark with execution-derived answers. A multi-agent workflow hardens undergraduate-written seeds without solving them; two agents from different model families independently formalize each finished item into executable finite-domain models, and logic solvers derive the answers, which go through layered, agent-assisted adjudication under human-expert oversight.
- HyperLogic-Base: 195 items / 922 sub-questions. It separates 7 frontier models by 33.0 points in item accuracy (44.6–77.6%).
- HyperLogic-Hard: 100 items with larger, coupled search spaces. No model exceeds 16% when answering directly; a code sandbox lifts every model by 16.7–40.1 points (best 55.7%), and adding our logic modeling library helps five models and hurts two.
We release a fixed 30% of every tier with gold answers, together with the direct-answer prompt, the semantic scorer, and the full Hard agent toolkit; the remaining 70% is held out as a contamination-resistant test set.
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