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Related papers: FOLIO: Natural Language Reasoning with First-Order…

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Translating natural language into formal language such as First-Order Logic (FOL) is a foundational challenge in NLP with wide-ranging applications in automated reasoning, misinformation tracking, and knowledge validation. In this paper, we…

Computation and Language · Computer Science 2025-03-07 Abhinav Lalwani , Tasha Kim , Lovish Chopra , Christopher Hahn , Zhijing Jin , Mrinmaya Sachan

Existing methods on understanding the capabilities of LLMs in logical reasoning rely on binary entailment classification or synthetically derived rationales, which are not sufficient for proper investigation of model's capabilities. We…

To comprehensively evaluate the mathematical reasoning capabilities of Large Language Models (LLMs), researchers have introduced abundant mathematical reasoning datasets. However, most existing datasets primarily focus on linear reasoning,…

Computation and Language · Computer Science 2026-02-25 Yuliang Ji , Fuchen Shen , Jian Wu , Qiujie Xie , Yue Zhang

Due to its expressiveness and unambiguous nature, First-Order Logic (FOL) is a powerful formalism for representing concepts expressed in natural language (NL). This is useful, e.g., for specifying and verifying desired system properties.…

Artificial Intelligence · Computer Science 2025-11-18 Andrea Brunello , Luca Geatti , Michele Mignani , Angelo Montanari , Nicola Saccomanno

Logical reasoning is a fundamental task in natural language processing that presents significant challenges to Large Language Models (LLMs). The inherent characteristics of logical reasoning makes it well-suited for symbolic representations…

Computation and Language · Computer Science 2024-09-26 Ramya Keerthy Thatikonda , Jiuzhou Han , Wray Buntine , Ehsan Shareghi

Automating the translation of natural language to first-order logic (FOL) is crucial for knowledge representation and formal methods, yet remains challenging. We present a systematic evaluation of fine-tuned LLMs for this task, comparing…

Computation and Language · Computer Science 2025-12-02 Felix Vossel , Till Mossakowski , Björn Gehrke

Translating natural language sentences to first-order logic (NL-FOL translation) is a longstanding challenge in the NLP and formal logic literature. This paper introduces LogicLLaMA, a LLaMA-7B model fine-tuned for NL-FOL translation using…

Computation and Language · Computer Science 2023-05-26 Yuan Yang , Siheng Xiong , Ali Payani , Ehsan Shareghi , Faramarz Fekri

The use of formal language for deductive logical reasoning aligns well with language models (LMs), where translating natural language (NL) into first-order logic (FOL) and employing an external solver results in a verifiable and therefore…

Computation and Language · Computer Science 2026-01-15 Ramya Keerthy Thatikonda , Jiuzhou Han , Wray Buntine , Ehsan Shareghi

Logical reasoning is a key task for artificial intelligence due to it's role in major downstream tasks such as Question Answering, Summarization. Recent methods in improving the reasoning ability of LLMs fall short in correctly converting a…

Machine Learning · Computer Science 2025-06-24 Koushik Viswanadha , Deepanway Ghosal , Somak Aditya

Logical reasoning, i.e., deductively inferring the truth value of a conclusion from a set of premises, is an important task for artificial intelligence with wide potential impacts on science, mathematics, and society. While many…

Computation and Language · Computer Science 2024-02-15 Theo X. Olausson , Alex Gu , Benjamin Lipkin , Cedegao E. Zhang , Armando Solar-Lezama , Joshua B. Tenenbaum , Roger Levy

Large Language Models (LLMs) still struggle with complex logical reasoning. While previous works achieve remarkable improvements, their performance is highly dependent on the correctness of translating natural language (NL) problems into a…

Artificial Intelligence · Computer Science 2025-10-14 Xiangyu Wang , Haocheng Yang , Fengxiang Cheng , Fenrong Liu

Claim verification plays a crucial role in combating misinformation. While existing works on claim verification have shown promising results, a crucial piece of the puzzle that remains unsolved is to understand how to verify claims without…

Computation and Language · Computer Science 2023-10-23 Haoran Wang , Kai Shu

Logical reasoning remains a challenge for natural language processing, but it can be improved by training language models to mimic theorem provers on procedurally generated problems. Previous work used domain-specific proof generation…

Computation and Language · Computer Science 2024-06-18 Damien Sileo

The ability of Large Language Models (LLMs) to perform reasoning tasks such as deduction has been widely investigated in recent years. Yet, their capacity to generate proofs-faithful, human-readable explanations of why conclusions…

Artificial Intelligence · Computer Science 2026-01-21 Hui Yang , Jiaoyan Chen , Uli Sattler

Semantic parsing is the task of obtaining machine-interpretable representations from natural language text. We consider one such formal representation - First-Order Logic (FOL) and explore the capability of neural models in parsing English…

Computation and Language · Computer Science 2020-02-18 Hrituraj Singh , Milan Aggrawal , Balaji Krishnamurthy

While large language models (LLMs) have shown strong performance in math and logic reasoning, their ability to handle combinatorial optimization (CO) -- searching high-dimensional solution spaces under hard constraints -- remains…

Artificial Intelligence · Computer Science 2026-04-13 Xia Jiang , Jing Chen , Cong Zhang , Jie Gao , Chengpeng Hu , Chenhao Zhang , Yaoxin Wu , Yingqian Zhang

Large language models (LLMs) have shown promising first-order logic (FOL) reasoning capabilities with applications in various areas. However, their effectiveness in complex mathematical reasoning involving multi-step FOL deductions is still…

Artificial Intelligence · Computer Science 2025-06-23 Chuxue Cao , Mengze Li , Juntao Dai , Jinluan Yang , Zijian Zhao , Shengyu Zhang , Weijie Shi , Chengzhong Liu , Sirui Han , Yike Guo

Reasoning in language models is difficult to evaluate: natural-language traces are unverifiable, symbolic datasets are too small, and most benchmarks conflate heuristics with inference. We present FOL-Traces, the first large-scale dataset…

Artificial Intelligence · Computer Science 2026-01-27 Isabelle Lee , Sarah Liaw , Dani Yogatama

Large Language Models (LLMs) are primarily trained on high-resource natural languages, limiting their effectiveness in low-resource settings and in tasks requiring deep logical reasoning. This research introduces Rosetta-PL, a benchmark…

Computation and Language · Computer Science 2025-05-06 Shaun Baek , Shaun Esua-Mensah , Cyrus Tsui , Sejan Vigneswaralingam , Abdullah Alali , Michael Lu , Vasu Sharma , Sean O'Brien , Kevin Zhu

Despite the remarkable performance of Large Language Models (LLMs) in natural language processing tasks, they still struggle with generating logically sound arguments, resulting in potential risks such as spreading misinformation. To…

Computation and Language · Computer Science 2025-05-06 Luca Mouchel , Debjit Paul , Shaobo Cui , Robert West , Antoine Bosselut , Boi Faltings
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