Claim-Level Reliability Assessment (CLR) is a training-free framework designed to improve the reasoning accuracy of large language models (LLMs) by reallocating test-time compute from generating more solutions to verifying the logical consistency of existing ones. Instead of relying on whole-trace evaluation, which the authors argue is often diluted by routine tokens, CLR identifies and tests the specific logical anchors that determine whether a solution is correct.
The Problem with Whole-Trace Evaluation
Current test-time scaling methods often struggle because they treat statistical confidence as a proxy for logical reliability. The authors note that high statistical confidence does not guarantee that a reasoning trace is sound. Furthermore, evaluating an entire reasoning trace is difficult because most tokens are routine, creating a "weakly discriminative background" that hides fatal errors. While step-by-step verification can catch these errors, it is computationally expensive and often requires specialized supervision or separate verifiers.
How CLR Works
CLR operates in a two-stage pipeline that treats reasoning as a falsifiable process:
- Claim Extraction: For every sampled reasoning trace, the model generates a compact set of "decision-critical claims"—the specific logical steps or constraints that must be true for the final answer to be correct. 2. Falsification-Based Verification: The model is prompted to search for a single decisive flaw in these claims. The authors exploit an asymmetry in reasoning: while constructing a perfect solution is difficult, refuting an incorrect one only requires finding one error. 3. Nonlinear Reliability Scoring: The framework assigns a reliability score to each trace based on how many claims survive this falsification check. It uses a nonlinear penalty, meaning that if a trace has multiple decision-critical claims, the failure of even one significantly reduces the trace's influence on the final consensus.
Performance and Efficiency
The authors evaluated CLR across four LLMs (Gemma-4-12B-it, GPT-OSS-20B, GPT-OSS-120B, and Qwen3.5-27B) and four reasoning benchmarks. By reallocating compute, CLR often outperformed standard self-consistency methods. For example, on the CMIMC25 benchmark, CLR improved the accuracy of GPT-OSS-20B from 77.50% to 82.19% while using 37.0% fewer tokens. In other cases, such as with Gemma-4-12B-it on HMMT25, CLR achieved significant accuracy gains (from 76.67% to 88.75%) under a matched-request budget.
Limitations and Considerations
The authors clarify that CLR is not a guarantee of correctness, but rather a method to improve the reliability of answer aggregation. Because the framework only reweights existing candidates, it cannot recover a correct answer if that answer was not generated during the initial sampling stage. Additionally, the effectiveness of CLR can vary based on the base model's capabilities; for models that are already highly accurate, such as Qwen3.5-27B, the performance gains are more modest because there is less "headroom" for improvement. The authors also note that the choice of the number of claims (M) involves a trade-off between semantic coverage and computational cost.
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