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Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

Mathematical reasoning and optimization are fundamental to artificial intelligence and computational problem-solving. Recent advancements in Large Language Models (LLMs) have significantly improved AI-driven mathematical reasoning, theorem…

Artificial Intelligence · Computer Science 2025-03-25 Ali Forootani

As a contribution to the challenge of building game-playing AI systems, we develop and analyse a formal language for representing and reasoning about strategies. Our logical language builds on the existing general Game Description Language…

Artificial Intelligence · Computer Science 2014-07-22 Dongmo Zhang , Michael Thielsher

This paper is a brief introduction to our recently initiated project named VERIFAI: Traceability and verification of natural language requirements. The project addresses the challenges in the traceability and verification of formal…

Software Engineering · Computer Science 2025-06-13 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Although LLMs exhibit strong reasoning capabilities, existing training methods largely depend on outcome-based feedback, which can produce correct answers with flawed reasoning. Prior work introduces supervision on intermediate steps but…

Computation and Language · Computer Science 2026-01-30 Jundong Xu , Hao Fei , Huichi Zhou , Xin Quan , Qijun Huang , Shengqiong Wu , William Yang Wang , Mong-Li Lee , Wynne Hsu

LLM-as-a-judge models have been used for evaluating both human and AI generated content, specifically by providing scores and rationales. Rationales, in addition to increasing transparency, help models learn to calibrate its judgments.…

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

Verifying multi-step reasoning in large language models is difficult due to imprecise error localization and high token costs. Existing methods either assess entire reasoning chains, suffering attention dilution, or rely on expensive…

Artificial Intelligence · Computer Science 2025-10-06 Yulong Zhang , Li Wang , Wei Du , Peilin Li , Yuqin Dai Zhiyuan Zhao , Lingyong Fang , Ziniu Liu , Ru Zhang , Huijia Zhu , Gongshen Liu

Logical reasoning is fundamental for humans yet presents a substantial challenge in the domain of Artificial Intelligence. Initially, researchers used Knowledge Representation and Reasoning (KR) systems that did not scale and required…

Computation and Language · Computer Science 2024-04-02 Man Luo , Shrinidhi Kumbhar , Ming shen , Mihir Parmar , Neeraj Varshney , Pratyay Banerjee , Somak Aditya , Chitta Baral

Recent advances in Vision-Language Models (VLMs) and large language models (LLMs) have greatly enhanced visual reasoning, a key capability for embodied AI agents like robots. However, existing visual reasoning benchmarks often suffer from…

Computer Vision and Pattern Recognition · Computer Science 2025-08-21 Simindokht Jahangard , Mehrzad Mohammadi , Yi Shen , Zhixi Cai , Hamid Rezatofighi

System and software design benefits greatly from formal modeling, allowing for automated analysis and verification early in the design phase. Current methods excel at checking information flow and component interactions, ensuring…

Systems and Control · Electrical Eng. & Systems 2025-01-31 Candice Chambers , Summer Mueller , Parth Ganeriwala , Chiradeep Sen , Siddhartha Bhattacharyya

As Large Language Models (LLMs) become increasingly sophisticated and ubiquitous in natural language processing (NLP) applications, ensuring their robustness, trustworthiness, and alignment with human values has become a critical challenge.…

Computation and Language · Computer Science 2024-08-09 Wrick Talukdar , Anjanava Biswas

Large Language Models (LLMs) have demonstrated impressive capabilities in structured reasoning and symbolic tasks, with coding emerging as a particularly successful application. This progress has naturally motivated efforts to extend these…

Artificial Intelligence · Computer Science 2026-02-02 Andrea Asperti , Alberto Naibo , Claudio Sacerdoti Coen

Pre-trained large language models (LMs) struggle to perform logical reasoning reliably despite advances in scale and compositionality. In this work, we tackle this challenge through the lens of symbolic programming. We propose DSR-LM, a…

Artificial Intelligence · Computer Science 2023-05-09 Hanlin Zhang , Jiani Huang , Ziyang Li , Mayur Naik , Eric Xing

Inspired by recent and revolutionary developments in AI, particularly in language understanding and generation, we set about designing AI systems that are able to address complex scientific tasks that challenge human capabilities to make…

Computation and Language · Computer Science 2022-11-01 José Manuel Gómez-Pérez

Large language models (LLMs) have been shown to be capable of impressive few-shot generalisation to new tasks. However, they still tend to perform poorly on multi-step logical reasoning problems. Here we carry out a comprehensive evaluation…

Artificial Intelligence · Computer Science 2022-05-20 Antonia Creswell , Murray Shanahan , Irina Higgins

Large Language Models (LLMs) show great promise in complex reasoning, with Reinforcement Learning with Verifiable Rewards (RLVR) being a key enhancement strategy. However, a prevalent issue is ``superficial self-reflection'', where models…

Artificial Intelligence · Computer Science 2025-05-20 Xiaoyuan Liu , Tian Liang , Zhiwei He , Jiahao Xu , Wenxuan Wang , Pinjia He , Zhaopeng Tu , Haitao Mi , Dong Yu

With software systems becoming increasingly pervasive and autonomous, our ability to test for their quality is severely challenged. Many systems are called to operate in uncertain and highly-changing environment, not rarely required to make…

Software Engineering · Computer Science 2024-03-21 Luca Giamattei , Roberto Pietrantuono , Stefano Russo

Large language models (LLMs) solve reasoning problems by first generating a rationale and then answering. We formalize reasoning as a latent variable model and derive a reward-based filtered expectation-maximization (FEM) objective for…

Machine Learning · Computer Science 2026-02-03 Junghyun Lee , Branislav Kveton , Anup Rao , Subhojyoti Mukherjee , Ryan A. Rossi , Sunav Choudhary , Alexa Siu

Vision-language agents have achieved remarkable progress in a variety of multimodal reasoning tasks; however, their learning remains constrained by the limitations of human-annotated supervision. Recent self-rewarding approaches attempt to…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Jiaqi Liu , Kaiwen Xiong , Peng Xia , Yiyang Zhou , Haonian Ji , Lu Feng , Siwei Han , Mingyu Ding , Huaxiu Yao