Organizations: Center for Data Science, AAIS, Peking University · Wangxuan Institute of Computer Technology, Peking University · Tsinghua University · State Key Laboratory of General Artificial Intelligence
Performing causal reasoning akin to humans is fundamental to achieving strong artificial intelligence. However, existing studies on causal reasoning and large language models (LLMs) often underestimate the role of human causal cognition. Human causal reasoning is far more than recognizing causes and effects. Humans often factor in many other considerations when establishing a causal link between two events, such as norm violations, intentionality, morality, counterfactual scenarios, etc. To simulate such reasoning, it is intuitive to identify cause-effect pairs using token causality formalisms while modeling the factors that influence human causal judgment using findings from cognitive science experiments. To support the evaluation and modeling of human-like causal reasoning in LLMs, we introduce HCR-Bench, a challenging benchmark with 1,093 instances and detailed human causal reasoning step annotations, and HCR-Reasoner, an approach that systematically integrates theories of token causality and cognitive science into LLMs for human-like causal reasoning. Results suggest that HCR-Reasoner consistently improves LLMs' causal alignment with humans, and that theory-guided reasoning is highly effective.
Figures & tables
Figure 1: An example in HCR-Bench . To simulate human causal reasoning, one needs to consider both causal and cognitive factors.
Dataset
Type
Valid. Labels
Caus.
Cogn.
COPA Roemmele et al. (2011)
Type
✓
✗
✗
e-CARE Du et al. (2022)
Type
✓
✗
✗
CLadder Jin et al. (2023)
Type
✗
✓
✗
Corr2Cause Jin et al. (2024)
Type
✗
✓
✗
QRData Liu et al. (2024)
Type
✓
✗
✗
Big-Bench Srivastava et al. (2023)
Token
✓
✗
✗
Table 1: Comparison of causal reasoning benchmarks. Type: type vs. token causality? Valid. Labels: labels human-validated? Caus.: causal structures annotated? Cogn.: cognitive factors annotated?
Category
Statistic
Total
Size
# Samples
1,093
Story
# Sentences (per sample)
8.49
# Words (per sample)
162.70
Query
# Queried causal events (per sample)
1.02
Reasoning
# Events (per sample)
3.39
# Causal events (per sample)
2.39
Table 2: HCR-Bench statistics.
Figure 2: The overview of HCR-Reasoner .
Methods
Acc. (C.)
Acc. (I.)
Acc.
Human Average
-
-
69.60%
Qwen2.5-32B-Instruct
65.25%
80.43%
68.98%
+ HCR-Reasoner
70.14%
80.43%
72.67%
Qwen2.5-72B-Instruct
65.89%
77.83%
68.82%
+ HCR-Reasoner
71.63%
79.13%
73.48%
DeepSeek-V3
66.45%
77.61%
69.20%
Table 3: Results of the pilot study. Human average is directly cited from Suzgun et al. (2023) . See § D.1 for complete results and significance testing results.
Methods
Accuracy
CE ✓
OE ✓
Open-source LLMs
Qwen2.5-32B-Instruct
62.67%
-
-
+ zero-shot CoT
61.94%
-
-
+ manual CoT
62.85%
-
-
+ HCR-Reasoner
64.78%
95.91%
93.96%
Qwen2.5-72B-Instruct
64.87%
-
-
Table 4: The results of different LLMs on HCR-Bench . CE ✓ and OE ✓ are the proportions of correctly identified causal and outcome events, respectively.
Figure 3: Fine-grained accuracies of different factors.
Figure 4: Results of the causal analysis.
Model
Vanilla → FO → FT → HCR-Reasoner
Open-source LLMs
Qwen2.5-32B
62.67% → 61.67% → 64.59% → 64.78%
Qwen2.5-72B
64.87% → 64.41% → 67.98% → 67.52%
DeepSeek-V3
63.49% → 67.25% → 65.87% → 67.61%
Closed-source LLMs
Gemini-2.0
60.20% → 58.19% → 60.84% → 64.96%
Table 5: Ablation results on HCR-Bench . Green and red highlights denote performance rise/drop compared with Vanilla.
Appendix figures & tables18 assets
Supplementary material from the paper’s appendix.
Appendix
Figure 5: The causal representation of the case.
Factor
Value
Definition
foccurE
True
E actually occurs in the causal setting.
False
Otherwise.
forderE
/
An integer starting from 0, denoting the temporal order of E relative to other events in the causal setting. If two events occur simultaneously, they should share the same order.
ftcE
True
E is an token cause of O by Def. 1 . If 1) foccurE∧foccurO holds and 2) fncE holds while allowing contingencies based on AC2, then ftcE holds. [Proof: AC1 holds if foccurE∧foccurO holds; AC2 holds if fncE holds while allowing contingencies; AC3 already holds since we only annotate minimal/atomic and non-overlapping causal events.]
False
Otherwise.
fncE
True
E is a necessary cause of O by Def. 2 . If but for E , O would not have occurred, then fncE holds.
Appendix
Table 6: Annotation guideline.
Methods
Acc. (C.)
Acc. (I.)
Acc.
Human Average
-
-
69.60 ± 0.00
Qwen2.5-32B-Instruct
65.25 ± 0.32
80.43 ± 0.00
68.98 ± 0.24
+ zero-shot CoT
61.70 ± 0.78
75.22 ± 1.74
65.03 ± 0.49
+ manual CoT
65.89 ± 0.59
79.13 ± 1.06
69.14 ± 0.34
+ HCR-Reasoner
70.14 ± 1.83
80.43 ± 0.00
72.67 ± 1.38
Qwen2.5-72B-Instruct
65.89 ± 1.21
77.83 ± 1.30
68.82 ± 1.04
Appendix
Table 7: Complete results of the pilot study.
Model
Comparison
Accuracy Diff
p -value ( ± std)
Significant
Significant (Bonferroni)
Qwen2.5-32B-Instruct
HCR-Reasoner vs. Vanilla
0.0369
0.0020±0.0004
√
√
HCR-Reasoner vs. Zero-shot CoT
0.0765
0.0021±0.0004
√
√
HCR-Reasoner vs. Manual CoT
0.0353
0.0022±0.0004
√
√
Qwen2.5-72B-Instruct
HCR-Reasoner vs. Vanilla
0.0465
0.0022±0.0004
√
√
HCR-Reasoner vs. Zero-shot CoT
0.0754
0.0022±0.0003
√
√
HCR-Reasoner vs. Manual CoT
0.0642
0.0020±0.0004
√
√
Appendix
Table 8: Statistical significance of HCR-Reasoner on Big-Bench Hard causal judgment.
Despite their strong performance on reasoning benchmarks, large language models (LLMs) have proven brittle when presented with counterfactual questions, suggesting weaknesses in their causal reasoning ability. While recent work has demonstrated that labeled counterfactual tasks can be useful benchmarks of LLMs' causal reasoning, producing such data at the scale required to cover the vast potential space of counterfactuals is limited. In this work, we introduce double counterfactual consistency (DCC), a lightweight inference-time method for measuring and guiding the ability of LLMs to reason causally. Without requiring labeled counterfactual data, DCC verifies a model's ability to execute two important elements of causal reasoning: causal intervention and counterfactual prediction. Using DCC, we evaluate the causal reasoning abilities of various leading LLMs across a range of reasoning tasks and interventions. Moreover, we demonstrate the effectiveness of DCC as a training-free test-time rejection sampling criterion and show that it can directly improve performance on reasoning tasks across multiple model families.
Victoria Lin, Xinnuo Xu, Rachel Lawrence +4
Carnegie Mellon University · Microsoft Research Cambridge · Microsoft Research India
The ability to understand causality significantly impacts the competence of large language models (LLMs) in output explanation and counterfactual reasoning, as causality reveals the underlying data distribution. However, the lack of a comprehensive benchmark currently limits the evaluation of LLMs' causal learning capabilities. To fill this gap, this paper develops CausalBN-Bench based on data from the causal research community, enabling comparative evaluations of LLMs against traditional causal learning algorithms. To provide a comprehensive investigation, we offer three tasks of varying difficulties, including correlation, causal skeleton, and causality identification. Evaluations of 19 leading LLMs reveal that, while closed-source LLMs show potential for simple causal relationships, they significantly lag behind traditional algorithms on larger-scale networks (>50 nodes). Specifically, LLMs struggle with collider structures but excel at chain structures, especially at long-chain causality analogous to Chain-of-Thought techniques. This supports the current prompt approaches while suggesting directions to enhance LLMs' causal reasoning capability. Furthermore, CausalBN-Bench incorporates background knowledge and training data into prompts to thoroughly unlock LLMs' text-comprehension ability during evaluation, whose findings indicate that, LLM understand causality through semantic associations with distinct entities, rather than directly from contextual information or numerical distributions.
Yu Zhou, Xingyu Wu, Jibin Wu +2
Department of Data Science and Artificial Intelligence, The Hong Kong Polytechnic University, Hong Kong SAR 999077, China · College of Computer Science, Chongqing University, Chongqing 400044, China
As large language models (LLMs) witness increasing deployment in complex, high-stakes decision-making scenarios, it becomes imperative to ground their reasoning in causality rather than spurious correlations. However, strong performance on traditional reasoning benchmarks does not guarantee true causal reasoning ability of LLMs, as high accuracy may still arise from memorizing semantic patterns instead of analyzing the underlying true causal structures. To bridge this critical gap, we propose a new causal reasoning benchmark, CausalFlip, designed to encourage the development of new LLM paradigm or training algorithms that ground LLM reasoning in causality rather than semantic correlation. CausalFlip consists of causal judgment questions built over event triples that could form different confounder, chain, and collider relations. Based on this, for each event triple, we construct pairs of semantically similar questions that reuse the same events but yield opposite causal answers, where models that rely heavily on semantic matching are systematically driven toward incorrect predictions. To further probe models' reliance on semantic patterns, we introduce a noisy-prefix evaluation that prepends causally irrelevant text before intermediate causal reasoning steps without altering the underlying causal relations or the logic of the reasoning process. We evaluate LLMs under multiple training paradigms, including answer-only training, explicit Chain-of-Thought (CoT) supervision, and a proposed internalized causal reasoning approach that aims to mitigate explicit reliance on correlation in the reasoning process. Our results show that explicit CoT can still be misled by spurious semantic correlations, where internalizing reasoning steps yields substantially improved causal grounding, suggesting that it is promising to better elicit the latent causal reasoning capabilities of base LLMs.
Yuzhe Wang, Yaochen Zhu, Jundong Li
University of Virginia Charlottesville, Virginia, USA