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The emergence of large language models (LLMs) has sparked enormous interest due to their potential application across a range of educational tasks. For example, recent work in programming education has used LLMs to generate learning…

Software Engineering · Computer Science 2024-05-10 Charles Koutcheme , Nicola Dainese , Sami Sarsa , Juho Leinonen , Arto Hellas , Paul Denny

Large language models (LLMs) have become capable mathematical problem-solvers, often producing correct proofs for challenging problems. However, correctness alone is not sufficient: mathematical proofs should also be clear, concise,…

Computation and Language · Computer Science 2026-05-12 Ivo Petrov , Jasper Dekoninck , Dimitar I. Dimitrov , Martin Vechev

Widely used evaluation metrics for text generation either do not work well with longer texts or fail to evaluate all aspects of text quality. In this paper, we introduce a new metric called SMART to mitigate such limitations. Specifically,…

Computation and Language · Computer Science 2022-08-02 Reinald Kim Amplayo , Peter J. Liu , Yao Zhao , Shashi Narayan

Evaluating text summarization quality remains a critical challenge in Natural Language Processing. Current approaches face a trade-off between performance and interpretability. We present SEval-Ex, a framework that bridges this gap by…

Computation and Language · Computer Science 2025-05-06 Tanguy Herserant , Vincent Guigue

Autoformalization addresses the scarcity of data for Automated Theorem Proving (ATP) by translating mathematical problems from natural language into formal statements. Efforts in recent work shift from directly prompting large language…

Artificial Intelligence · Computer Science 2025-10-09 Qi Guo , Jianing Wang , Jianfei Zhang , Deyang Kong , Xiangzhou Huang , Xiangyu Xi , Wei Wang , Jingang Wang , Xunliang Cai , Shikun Zhang , Wei Ye

While logical reasoning evaluation of Large Language Models (LLMs) has attracted significant attention, existing benchmarks predominantly rely on multiple-choice formats that are vulnerable to random guessing, leading to overestimated…

Computation and Language · Computer Science 2025-02-25 Qin Zhu , Fei Huang , Runyu Peng , Keming Lu , Bowen Yu , Qinyuan Cheng , Xipeng Qiu , Xuanjing Huang , Junyang Lin

While pre-trained language models achieve impressive performance on various NLP benchmarks, they still struggle with tasks that require numerical reasoning. Recent advances in improving numerical reasoning are mostly achieved using very…

Computation and Language · Computer Science 2023-05-30 Jasivan Alex Sivakumar , Nafise Sadat Moosavi

Large Language Models (LLMs) demonstrate impressive mathematical reasoning abilities, but their solutions frequently contain errors that cannot be automatically checked. Formal theorem proving systems such as Lean 4 offer automated…

Artificial Intelligence · Computer Science 2026-03-18 Sumanth Varambally , Thomas Voice , Yanchao Sun , Zhifeng Chen , Rose Yu , Ke Ye

Recent advancements in large language models have led to significant improvements across various tasks, including mathematical reasoning, which is used to assess models' intelligence in logical reasoning and problem-solving. Models are…

Artificial Intelligence · Computer Science 2026-04-27 Erez Yosef , Oron Anschel , Shunit Haviv Hakimi , Asaf Gendler , Adam Botach , Nimrod Berman , Igor Kviatkovsky

The majority of NLG evaluation relies on automatic metrics, such as BLEU . In this paper, we motivate the need for novel, system- and data-independent automatic evaluation methods: We investigate a wide range of metrics, including…

Computation and Language · Computer Science 2017-09-18 Jekaterina Novikova , Ondřej Dušek , Amanda Cercas Curry , Verena Rieser

Prompt optimization algorithms for Large Language Models (LLMs) excel in multi-step reasoning but still lack effective uncertainty estimation. This paper introduces a benchmark dataset to evaluate uncertainty metrics, focusing on Answer,…

Machine Learning · Computer Science 2024-12-30 Pei-Fu Guo , Yun-Da Tsai , Shou-De Lin

Verifiable formal languages like Lean have profoundly impacted mathematical reasoning, particularly through the use of large language models (LLMs) for automated reasoning. A significant challenge in training LLMs for these formal languages…

Computation and Language · Computer Science 2025-02-28 Guoxiong Gao , Yutong Wang , Jiedong Jiang , Qi Gao , Zihan Qin , Tianyi Xu , Bin Dong

Inequality proving, crucial across diverse scientific and mathematical fields, tests advanced reasoning skills such as discovering tight bounds and strategic theorem application. This makes it a distinct, demanding frontier for large…

Artificial Intelligence · Computer Science 2025-12-16 Pan Lu , Jiayi Sheng , Luna Lyu , Jikai Jin , Tony Xia , Alex Gu , James Zou

The identification and localization of errors is a core task in peer review, yet the exponential growth of scientific output has made it increasingly difficult for human reviewers to reliably detect errors given the limited pool of experts.…

Computation and Language · Computer Science 2025-12-01 Sarina Xi , Vishisht Rao , Justin Payan , Nihar B. Shah

Recently, large language models have presented promising results in aiding formal mathematical reasoning. However, their performance is restricted due to the scarcity of formal theorem-proving data, which requires additional effort to be…

Artificial Intelligence · Computer Science 2024-07-25 Zijian Wu , Jiayu Wang , Dahua Lin , Kai Chen

The rapid rise in popularity of Large Language Models (LLMs) with emerging capabilities has spurred public curiosity to evaluate and compare different LLMs, leading many researchers to propose their own LLM benchmarks. Noticing preliminary…

Artificial Intelligence · Computer Science 2025-05-15 Timothy R. McIntosh , Teo Susnjak , Nalin Arachchilage , Tong Liu , Paul Watters , Malka N. Halgamuge

Evaluation in machine learning is usually informed by past choices, for example which datasets or metrics to use. This standardization enables the comparison on equal footing using leaderboards, but the evaluation choices become sub-optimal…

Large language models (LLMs) with Chain-of-Thought (CoT) prompting achieve strong reasoning but often produce unnecessarily long explanations, increasing cost and sometimes reducing accuracy. Fair comparison of efficiency-oriented…

Computation and Language · Computer Science 2025-11-14 Junquan Huang , Haotian Wu , Yubo Gao , Yibo Yan , Junyan Zhang , Yonghua Hei , Song Dai , Jie Zhang , Puay Siew Tan , Xuming Hu

Translating human-written mathematical theorems and proofs from natural language (NL) into formal languages (FLs) like Lean 4 has long been a significant challenge for AI. Most state-of-the-art methods either focus on theorem-only NL-to-FL…

Logic in Computer Science · Computer Science 2026-03-31 Prithwish Jana , Kaan Kale , Ahmet Ege Tanriverdi , Cruise Song , Sriram Vishwanath , Vijay Ganesh

Automated theorem proving is essential for the formal verification of safety-critical systems. As the corpus of formal proofs grows, a natural paradigm is to learn from existing proofs. However, current learning-based approaches…

Software Engineering · Computer Science 2026-05-12 Jian Fang , Yixun Yao , Yingfei Xiong