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Remarkable progress has been made on automated reasoning with natural text, by using Language Models (LMs) and methods such as Chain-of-Thought and Selection-Inference. These techniques search for proofs in the forward direction from axioms…

Artificial Intelligence · Computer Science 2023-05-30 Mehran Kazemi , Najoung Kim , Deepti Bhatia , Xin Xu , Deepak Ramachandran

Recently, with the chain of thought (CoT) prompting, large language models (LLMs), e.g., GPT-3, have shown strong reasoning ability in several natural language processing tasks such as arithmetic, commonsense, and logical reasoning.…

Artificial Intelligence · Computer Science 2023-10-20 Yixuan Weng , Minjun Zhu , Fei Xia , Bin Li , Shizhu He , Shengping Liu , Bin Sun , Kang Liu , Jun Zhao

While forward reasoning (i.e., find the answer given the question) has been explored extensively in recent literature, backward reasoning is relatively unexplored. We examine the backward reasoning capabilities of LLMs on Math Word Problems…

Computation and Language · Computer Science 2024-07-09 Aniruddha Deb , Neeva Oza , Sarthak Singla , Dinesh Khandelwal , Dinesh Garg , Parag Singla

While large language models (LLMs) have rapidly improved their performance on a broad number of tasks, they still often fall short on reasoning tasks. As LLMs become more integrated in diverse real-world tasks, advancing their reasoning…

Computation and Language · Computer Science 2025-01-29 Tim Knappe , Ryan Li , Ayush Chauhan , Kaylee Chhua , Kevin Zhu , Sean O'Brien

Although contemporary large language models (LMs) demonstrate impressive question-answering capabilities, their answers are typically the product of a single call to the model. This entails an unwelcome degree of opacity and compromises…

Artificial Intelligence · Computer Science 2022-08-31 Antonia Creswell , Murray Shanahan

Large language models (LLMs) have exhibited remarkable reasoning and planning capabilities. Most prior work in this area has used LLMs to reason through steps from an initial to a goal state or criterion, thereby effectively reasoning in a…

Artificial Intelligence · Computer Science 2024-11-05 Allen Z. Ren , Brian Ichter , Anirudha Majumdar

While large language models have made significant progress in mathematical reasoning, they remain unreliable at judging the correctness of their own solutions. Existing approaches that equip models with self-verification typically treat…

Computation and Language · Computer Science 2026-05-28 Haihui Pan , Junwei Bao , Hongfei Jiang , Yang Song

Majority voting is considered an effective method to enhance chain-of-thought reasoning, as it selects the answer with the highest "self-consistency" among different reasoning paths (Wang et al., 2023). However, previous chain-of-thought…

Computation and Language · Computer Science 2025-05-19 Weiqin Wang , Yile Wang , Hui Huang

Self-Consistency, a widely-used decoding strategy, significantly boosts the reasoning capabilities of Large Language Models (LLMs). However, it depends on the plurality voting rule, which focuses on the most frequent answer while…

Computation and Language · Computer Science 2025-09-18 Siyuan Huang , Zhiyuan Ma , Jintao Du , Changhua Meng , Weiqiang Wang , Zhouhan Lin

There is a growing literature on reasoning by large language models (LLMs), but the discussion on the uncertainty in their responses is still lacking. Our aim is to assess the extent of confidence that LLMs have in their answers and how it…

Computation and Language · Computer Science 2024-12-23 Yudi Pawitan , Chris Holmes

Large language models (LLMs) have demonstrated impressive capabilities in various reasoning tasks, aided by techniques like chain-of-thought prompting that elicits verbalized reasoning. However, LLMs often generate text with obvious…

Artificial Intelligence · Computer Science 2024-12-06 Zhihui Xie , Jizhou Guo , Tong Yu , Shuai Li

In reasoning tasks, even a minor error can cascade into inaccurate results, leading to suboptimal performance of large language models in such domains. Earlier fine-tuning approaches sought to mitigate this by leveraging more precise…

Computation and Language · Computer Science 2024-07-12 Changyu Chen , Xiting Wang , Ting-En Lin , Ang Lv , Yuchuan Wu , Xin Gao , Ji-Rong Wen , Rui Yan , Yongbin Li

Best-of-n sampling improves the accuracy of large language models (LLMs) and large reasoning models (LRMs) by generating multiple candidate solutions and selecting the one with the highest reward. The key challenge for reasoning tasks is…

Large Language Models often improve accuracy on reasoning tasks by sampling multiple Chain-of-Thought (CoT) traces and aggregating them with majority voting (MV), a test-time technique called self-consistency. When we truncate a CoT partway…

Machine Learning · Statistics 2026-05-11 Naoto Iwase , Yuki Ichihara , Mohammad Atif Quamar , Junpei Komiyama

Despite the strong reasoning ability of large language models~(LLMs), they are prone to errors and hallucinations. As a result, how to check their outputs effectively and efficiently has become a critical problem in their applications.…

Artificial Intelligence · Computer Science 2025-10-29 Jiayu Liu , Wei Dai , Zhenya Huang , Ning Miao , Enhong Chen

Autoformalization, the process of transforming informal mathematical language into formal specifications and proofs remains a difficult task for state-of-the-art (large) language models. Existing works point to competing explanations for…

Artificial Intelligence · Computer Science 2025-02-25 Willy Chan , Michael Souliman , Jakob Nordhagen , Brando Miranda , Elyas Obbad , Kai Fronsdal Sanmi Koyejo

We propose a large language model explainability technique for obtaining faithful natural language explanations by grounding the explanations in a reasoning process. When converted to a sequence of tokens, the outputs of the reasoning…

Machine Learning · Computer Science 2026-03-17 Vojtech Cahlik , Rodrigo Alves , Pavel Kordik

Despite their success in many natural language tasks, solving math problems remains a significant challenge for large language models (LLMs). A large gap exists between LLMs' pass-at-one and pass-at-N performance in solving math problems,…

Computation and Language · Computer Science 2023-10-17 Yixin Liu , Avi Singh , C. Daniel Freeman , John D. Co-Reyes , Peter J. Liu

Large language models (LLMs) are a promising venue for natural language understanding and generation tasks. However, current LLMs are far from reliable: they are prone to generate non-factual information and, more crucially, to contradict…

Machine Learning · Computer Science 2024-04-22 Diego Calanzone , Stefano Teso , Antonio Vergari

Large Language Models (LLMs) have demonstrated impressive reasoning capabilities, leading to their adoption in high-stakes domains such as healthcare, law, and scientific research. However, their reasoning often contains subtle logical…

Software Engineering · Computer Science 2025-12-30 Xinyi Zheng , Ningke Li , Xiaokun Luan , Kailong Wang , Ling Shi , Meng Sun , Haoyu Wang
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