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Counterfactual reasoning, a hallmark of intelligence, consists of three steps: inferring latent variables from observations (abduction), constructing alternatives (interventions), and predicting their outcomes (prediction). This skill is…

Machine Learning · Computer Science 2025-10-03 Aniket Vashishtha , Qirun Dai , Hongyuan Mei , Amit Sharma , Chenhao Tan , Hao Peng

Assisting LLMs with code generation improved their performance on mathematical reasoning tasks. However, the evaluation of code-assisted LLMs is generally restricted to execution correctness, lacking a rigorous evaluation of their generated…

Computation and Language · Computer Science 2025-07-23 Zena Al-Khalili , Nick Howell , Dietrich Klakow

Pretraining language models directly on web-scale corpora is the de facto paradigm. We study an alternative where the model is initially exposed to abstract structured data to ease the subsequent acquisition of rich semantic knowledge, much…

Computation and Language · Computer Science 2026-05-29 Liangze Jiang , Zachary Shinnick , Anton van den Hengel , Hemanth Saratchandran , Damien Teney

Large Language Models (LLMs) have shown remarkable performance in various natural language processing tasks but face challenges in mathematical reasoning, where complex problem-solving requires both linguistic understanding and mathematical…

Computation and Language · Computer Science 2025-03-20 Shuguang Chen , Guang Lin

Multi-step reasoning is essential for large language models (LLMs), yet multilingual performance remains challenging. While Chain-of-Thought (CoT) prompting improves reasoning, it struggles with non-English languages due to the entanglement…

Chain-of-thought (CoT) rationales, which provide step-by-step reasoning to derive final answers, benefit LLMs in both inference and training. Incorporating rationales, either by generating them before answering during inference, or by…

Computation and Language · Computer Science 2025-10-21 Wenhang Shi , Shuqing Bian , Yiren Chen , Xinyi Zhang , Zhe Zhao , Pengfei Hu , Wei Lu , Xiaoyong Du

Large language models (LLMs) have demonstrated remarkable reasoning capabilities in math and coding, often bolstered by post-training on the chain-of-thoughts (CoTs) generated by stronger models. However, existing strategies for curating…

Machine Learning · Computer Science 2025-05-27 Siqi Kou , Qingyuan Tian , Hanwen Xu , Zihao Zeng , Zhijie Deng

Several formal systems, such as resolution and minimal model semantics, provide a framework for logic programming. In this paper, we will survey the use of structural proof theory as an alternative foundation. Researchers have been using…

Logic in Computer Science · Computer Science 2021-11-02 Dale Miller

Enhancing reasoning capabilities remains a central focus in the LLM reasearch community. A promising direction involves requiring models to simulate code execution step-by-step to derive outputs for given inputs. However, as code is often…

Computation and Language · Computer Science 2025-07-15 Keqin Bao , Nuo Chen , Xiaoyuan Li , Binyuan Hui , Bowen Yu , Fuli Feng , Xiangnan He , Dayiheng Liu

Reasoning models (RMs), language models (LMs) trained with reinforcement learning to produce long-form natural language reasoning, have been remarkably successful, but they still require large amounts of computation and data to train, and…

Computation and Language · Computer Science 2025-10-27 Cedegao E. Zhang , Cédric Colas , Gabriel Poesia , Joshua B. Tenenbaum , Jacob Andreas

Recent work has provided indirect evidence that pretraining language models on code improves the ability of models to track state changes of discourse entities expressed in natural language. In this work, we systematically test this claim…

Computation and Language · Computer Science 2024-06-03 Najoung Kim , Sebastian Schuster , Shubham Toshniwal

Effective code generation with language models hinges on two critical factors: accurately understanding the intent of the prompt and generating code that applies algorithmic reasoning to produce correct solutions capable of passing diverse…

Artificial Intelligence · Computer Science 2025-10-21 Amir Jalilifard , Anderson de Rezende Rocha , Marcos Medeiros Raimundo

Code provides a general syntactic structure to build complex programs and perform precise computations when paired with a code interpreter - we hypothesize that language models (LMs) can leverage code-writing to improve Chain of Thought…

Computation and Language · Computer Science 2024-07-31 Chengshu Li , Jacky Liang , Andy Zeng , Xinyun Chen , Karol Hausman , Dorsa Sadigh , Sergey Levine , Li Fei-Fei , Fei Xia , Brian Ichter

Large language models (LLMs) achieve strong performance on code generation, but the mechanisms by which Chain-of-Thought (CoT) prompting helps remain unclear. We present a systematic empirical and information-theoretic study of CoT…

Software Engineering · Computer Science 2025-12-11 Naizhu Jin , Zhong Li , Guang Yang , Tian Zhang , Qingkai Zeng

Training on verifiable symbolic data is a promising way to expand the reasoning frontier of language models beyond what standard pre-training corpora provide. Yet existing procedural generators often rely on fixed puzzles or templates and…

Computation and Language · Computer Science 2026-03-03 Valentin Lacombe , Valentin Quesnel , Damien Sileo

We address the general task of structured commonsense reasoning: given a natural language input, the goal is to generate a graph such as an event -- or a reasoning-graph. To employ large language models (LMs) for this task, existing…

Computation and Language · Computer Science 2022-12-07 Aman Madaan , Shuyan Zhou , Uri Alon , Yiming Yang , Graham Neubig

Large language models (LLMs) with reasoning capabilities have fueled a compelling narrative that reasoning universally improves performance across language tasks. We test this claim through a comprehensive evaluation of 504 configurations…

Computation and Language · Computer Science 2026-03-02 Donghao Huang , Zhaoxia Wang

Training LLMs to think and reason for longer has become a key ingredient in building state-of-the-art models that can solve complex problems previously out of reach. Recent efforts pursue this in different ways, such as RL fine-tuning to…

Machine Learning · Computer Science 2026-02-03 Yihao Xue , Allan Zhang , Jianhao Huang , Amit Sahai , Baharan Mirzasoleiman

Recent advances in Large Reasoning Models (LRMs) trained with Long Chain-of-Thought (Long CoT) reasoning have demonstrated remarkable cross-domain generalization capabilities. However, the underlying mechanisms supporting such transfer…

Computation and Language · Computer Science 2025-06-19 Feng He , Zijun Chen , Xinnian Liang , Tingting Ma , Yunqi Qiu , Shuangzhi Wu , Junchi Yan

Reinforcement learning (RL) has become the dominant paradigm for improving the performance of language models on complex reasoning tasks. Despite the substantial empirical gains demonstrated by RL-based training methods like GRPO, a…

Artificial Intelligence · Computer Science 2025-10-27 Jiayu Wang , Yifei Ming , Zixuan Ke , Caiming Xiong , Shafiq Joty , Aws Albarghouthi , Frederic Sala