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We introduce Reasoning Gym (RG), a library of reasoning environments for reinforcement learning with verifiable rewards. It provides over 100 data generators and verifiers spanning multiple domains including algebra, arithmetic,…

Machine Learning · Computer Science 2025-10-21 Zafir Stojanovski , Oliver Stanley , Joe Sharratt , Richard Jones , Abdulhakeem Adefioye , Jean Kaddour , Andreas Köpf

This paper proposes an approach to information-based logics using many-logic modal structures (MLMS). These structures can express accessibility relations between worlds with different underlying logics by anchoring them to a base lattice,…

Logic · Mathematics 2026-05-11 Manuel Martins , Abílio Rodrigues , Marcelo Coniglio , Alfredo Freire

We present the system description for our submission towards the Key Point Analysis Shared Task at ArgMining 2021. Track 1 of the shared task requires participants to develop methods to predict the match score between each pair of arguments…

Computation and Language · Computer Science 2021-10-26 Manav Nitin Kapadnis , Sohan Patnaik , Siba Smarak Panigrahi , Varun Madhavan , Abhilash Nandy

Scholastic trivia competitions test knowledge and intelligence through mastery of question answering. Modern question answering benchmarks are one variant of the Turing test. Specifically, answering a set of questions as well as a human is…

Computation and Language · Computer Science 2021-02-15 Pedro Rodriguez , Shi Feng , Mohit Iyyer , He He , Jordan Boyd-Graber

This volume contains the proceedings of the 17th International Conference on Quantum Physics and Logic (QPL 2020), which was held June 2-6, 2020. Quantum Physics and Logic is an annual conference that brings together researchers working on…

Logic in Computer Science · Computer Science 2021-09-06 Benoît Valiron , Shane Mansfield , Pablo Arrighi , Prakash Panangaden

Large Language Models (LLMs) are increasingly deployed in real-world scenarios where they may lack sufficient information to complete a given task. In such settings, the ability to actively seek out missing information becomes a critical…

Computation and Language · Computer Science 2026-02-03 Langyuan Cui , Chun Kai Ling , Hwee Tou Ng

As Large Language Models (LLMs) integrate into our social and economic interactions, we need to deepen our understanding of how humans respond to LLMs opponents in strategic settings. We present the results of the first controlled…

General Economics · Economics 2025-05-19 Darija Barak , Miguel Costa-Gomes

Large language models (LLMs) have achieved remarkable successes on various tasks. However, recent studies have found that there are still significant challenges to the logical reasoning abilities of LLMs, which can be categorized into the…

Artificial Intelligence · Computer Science 2025-07-22 Fengxiang Cheng , Haoxuan Li , Fenrong Liu , Robert van Rooij , Kun Zhang , Zhouchen Lin

This paper introduces LingGym, a new benchmark that evaluates LLMs' capacity for meta-linguistic reasoning using Interlinear Glossed Text (IGT) and grammatical descriptions extracted from 18 typologically diverse reference grammars. Unlike…

Computation and Language · Computer Science 2025-11-04 Changbing Yang , Franklin Ma , Freda Shi , Jian Zhu

Mathematics is often perceived as difficult or inaccessible, yet meaningful engagement can arise in unexpected places. In this article we describe a multi-year exploration of mathematical outreach through games, puzzles, exhibitions, and…

History and Overview · Mathematics 2025-12-04 Hugo Parlier , Bruno Teheux

Large language models (LLMs) excel at solving problems with clear and complete statements, but often struggle with nuanced environments or interactive tasks which are common in most real-world scenarios. This highlights the critical need…

We introduce SATBench, a benchmark for evaluating the logical reasoning capabilities of large language models (LLMs) through logical puzzles derived from Boolean satisfiability (SAT) problems. Unlike prior work that focuses on inference…

Artificial Intelligence · Computer Science 2025-09-23 Anjiang Wei , Yuheng Wu , Yingjia Wan , Tarun Suresh , Huanmi Tan , Zhanke Zhou , Sanmi Koyejo , Ke Wang , Alex Aiken

Evaluating humor in large language models (LLMs) is an open challenge because existing approaches yield isolated, incomparable metrics rather than unified model rankings, making it difficult to track progress across systems. We introduce…

Computation and Language · Computer Science 2026-04-23 Edward Ajayi , Prasenjit Mitra

Mathematical reasoning remains one of the most challenging domains for large language models (LLMs), requiring not only linguistic understanding but also structured logical deduction and numerical precision. While recent LLMs demonstrate…

Computation and Language · Computer Science 2026-01-27 Mahbub E Sobhani , Md. Faiyaz Abdullah Sayeedi , Tasnim Mohiuddin , Md Mofijul Islam , Swakkhar Shatabda

Large language models (LLMs) have shown remarkable improvements in reasoning and many existing benchmarks have been addressed by models such as o1 and o3 either fully or partially. However, a majority of these benchmarks emphasize deductive…

Machine Learning · Computer Science 2025-05-15 Wenyue Hua , Tyler Wong , Sun Fei , Liangming Pan , Adam Jardine , William Yang Wang

Large language models (LLMs) have achieved remarkable success in natural language processing tasks, yet their internal knowledge structures remain poorly understood. This study examines these structures through the lens of historical…

Computation and Language · Computer Science 2026-01-23 Juhwan Choi , Seunguk Yu , JungMin Yun , YoungBin Kim

We describe a list of open problems in random matrix theory and the theory of integrable systems that was presented at the conference Asymptotics in Integrable Systems, Random Matrices and Random Processes and Universality, Centre de…

Mathematical Physics · Physics 2017-03-16 Percy Deift

Today, many different probabilistic programming languages exist and even more inference mechanisms for these languages. Still, most logic programming based languages use backward reasoning based on SLD resolution for inference. While these…

Logic in Computer Science · Computer Science 2011-07-27 Bernd Gutmann , Ingo Thon , Angelika Kimmig , Maurice Bruynooghe , Luc De Raedt

Commonsense reasoning deals with the implicit knowledge that is well understood by humans and typically acquired via interactions with the world. In recent times, commonsense reasoning and understanding of various LLMs have been evaluated…

Computation and Language · Computer Science 2025-04-15 Abhinav Joshi , Areeb Ahmad , Divyaksh Shukla , Ashutosh Modi

Large language models (LLMs) have achieved remarkable performance in generating human-like text and solving reasoning tasks of moderate complexity, such as question-answering and mathematical problem-solving. However, their capabilities in…

Computation and Language · Computer Science 2025-02-21 Cole Gawin , Yidan Sun , Mayank Kejriwal
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