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The performance of Large language models (LLMs) across a broad range of domains has been impressive but have been critiqued as not being able to reason about their process and conclusions derived. This is to explain the conclusions draw,…

Computation and Language · Computer Science 2024-10-30 Rob Sullivan , Nelly Elsayed

Despite significant progress in natural language understanding, Large Language Models (LLMs) remain error-prone when performing logical reasoning, often lacking the robust mental representations that enable human-like comprehension. We…

Artificial Intelligence · Computer Science 2025-09-05 François Olivier , Zied Bouraoui

Large Language Models (LLMs) are expected to be predictable and trustworthy to support reliable decision-making systems. Yet current LLMs often show inconsistencies in their judgments. In this work, we examine logical preference consistency…

Computation and Language · Computer Science 2025-02-11 Yinhong Liu , Zhijiang Guo , Tianya Liang , Ehsan Shareghi , Ivan Vulić , Nigel Collier

Neuro-symbolic reasoning increasingly demands frameworks that unite the formal rigor of logic with the interpretability of large language models (LLMs). We introduce an end to end explainability by construction pipeline integrating the…

Logic in Computer Science · Computer Science 2026-03-16 Yang Xu , Jun Liu , Shuwei Chen , Chris Nugent , Hailing Guo

This paper explores the integration of two AI subdisciplines employed in the development of artificial agents that exhibit intelligent behavior: Large Language Models (LLMs) and Cognitive Architectures (CAs). We present three integration…

Artificial Intelligence · Computer Science 2023-09-29 Oscar J. Romero , John Zimmerman , Aaron Steinfeld , Anthony Tomasic

The rise of large language models (LLMs) has significantly influenced the quality of information in decision-making systems, leading to the prevalence of AI-generated content and challenges in detecting misinformation and managing…

Computation and Language · Computer Science 2024-10-08 Cheng Jiayang , Chunkit Chan , Qianqian Zhuang , Lin Qiu , Tianhang Zhang , Tengxiao Liu , Yangqiu Song , Yue Zhang , Pengfei Liu , Zheng Zhang

The profusion of knowledge encoded in large language models (LLMs) and their ability to apply this knowledge zero-shot in a range of settings makes them promising candidates for use in decision-making. However, they are currently limited by…

Computation and Language · Computer Science 2026-05-08 Gabriel Freedman , Adam Dejl , Deniz Gorur , Xiang Yin , Antonio Rago , Francesca Toni

Large Language Models (LLMs) often exhibit limited logical coherence, mapping premises to conclusions without adherence to explicit inference rules. We propose Proof-Carrying Reasoning with LLMs (PCRLLM), a framework that constrains…

Computation and Language · Computer Science 2025-11-12 Tangrui Li , Pei Wang , Hongzheng Wang Christian Hahm , Matteo Spatola , Justin Shi

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

The combination of Large Language Models (LLMs), systematic evaluation, and evolutionary algorithms has enabled breakthroughs in combinatorial optimization and scientific discovery. We propose to extend this powerful combination to the…

Artificial Intelligence · Computer Science 2026-03-12 Carlo Bosio , Mark W. Mueller

Deep learning (DL) based language models achieve high performance on various benchmarks for Natural Language Inference (NLI). And at this time, symbolic approaches to NLI are receiving less attention. Both approaches (symbolic and DL) have…

Computation and Language · Computer Science 2021-06-11 Zeming Chen , Qiyue Gao , Lawrence S. Moss

As large language models (LLMs) are increasing integrated into fact-checking pipelines, formal logic is often proposed as a rigorous means by which to mitigate bias, errors and hallucinations in these models' outputs. For example, some…

Computation and Language · Computer Science 2026-04-28 Jason Chan , Robert Gaizauskas , Zhixue Zhao

Large Language Models (LLMs) have revolutionized natural language processing, yet they struggle with inconsistent reasoning, particularly in novel domains and complex logical sequences. This research introduces Proof of Thought, a framework…

Artificial Intelligence · Computer Science 2024-10-24 Debargha Ganguly , Srinivasan Iyengar , Vipin Chaudhary , Shivkumar Kalyanaraman

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

There are two main barriers to using large language models (LLMs) in clinical reasoning. Firstly, while LLMs exhibit significant promise in Natural Language Processing (NLP) tasks, their performance in complex reasoning and planning falls…

Artificial Intelligence · Computer Science 2024-12-31 Shengxin Hong , Liang Xiao , Xin Zhang , Jianxia Chen

Neurosymbolic approaches can add robustness to opaque neural systems by incorporating explainable symbolic representations. However, previous approaches have not used formal logic to contextualize queries to and validate outputs of large…

Computation and Language · Computer Science 2024-09-19 Priyesh Vakharia , Abigail Kufeldt , Max Meyers , Ian Lane , Leilani Gilpin

Deep learning has become the dominant approach for creating high capacity, scalable models across diverse data modalities. However, because these models rely on a large number of learned parameters, tightly couple feature extraction with…

Artificial Intelligence · Computer Science 2026-05-12 Adam Gould , Francesca Toni

The ability of large language models (LLMs) to engage in credible dialogues with humans, taking into account the training data and the context of the conversation, has raised discussions about their ability to exhibit intrinsic motivations,…

Artificial Intelligence · Computer Science 2023-11-16 Arlindo L. Oliveira , Tiago Domingos , Mário Figueiredo , Pedro U. Lima

Large Language Models (LLMs) have shown promising results across various tasks, yet their reasoning capabilities remain a fundamental challenge. Developing AI systems with strong reasoning capabilities is regarded as a crucial milestone in…

Artificial Intelligence · Computer Science 2025-08-20 Xiao-Wen Yang , Jie-Jing Shao , Lan-Zhe Guo , Bo-Wen Zhang , Zhi Zhou , Lin-Han Jia , Wang-Zhou Dai , Yu-Feng Li

A lively ongoing debate is taking place, since the extraordinary emergence of Large Language Models (LLMs) with regards to their capability to understand the world and capture the meaning of the dialogues in which they are involved.…

Computation and Language · Computer Science 2025-05-09 Daniel N. Nissani