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Can Large Language Models Reason? A Characterization via 3-SAT
Örebro University, School of Science and Technology. (Centre for Applied Autonomous Sensor Systems (AASS))ORCID iD: 0000-0003-3422-2085
Department of Computer Science, KU Leuven, Belgium.
Örebro University, School of Science and Technology. (Centre for Applied Autonomous Sensor Systems (AASS))ORCID iD: 0000-0001-5834-0188
Örebro University, School of Science and Technology. Department of Computer Science, KU Leuven, Belgium. (Centre for Applied Autonomous Sensor Systems (AASS))ORCID iD: 0000-0002-6860-6303
2025 (English)Conference paper, Published paper (Refereed)
Abstract [en]

Large Language Models (LLMs) have been touted as AI models possessing advanced reasoning abilities. However, recent works have shown that LLMs often bypass true reasoning using shortcuts, sparking skepticism. To study the reasoning capabilities in a principled fashion, we adopt a computational theory perspective and propose an experimental protocol centered on 3-SAT – the prototypical NP-complete problem lying at the core of logical reasoning and constraint satisfaction tasks. Specifically, we examine the phase transitions in random 3-SAT and characterize the reasoning abilities of LLMs by varying the inherent hardness of the problem instances. Our experimental evidence shows that LLMs are incapable of performing true reasoning, as required for solving 3-SAT problems. Moreover, we observe significant performance variation based on the inherent hardness of the problems – performing poorly on harder instances and vice versa. Importantly ,we show that integrating external reasoners can considerably enhance LLM performance. By following a principled experimental protocol, our study draws concrete conclusions and moves beyond the anecdotal evidence often found in LLM reasoning research.

Place, publisher, year, edition, pages
2025.
National Category
Computer Sciences
Identifiers
URN: urn:nbn:se:oru:diva-123280DOI: 10.48550/arXiv.2408.07215OAI: oai:DiVA.org:oru-123280DiVA, id: diva2:1993729
Conference
13th International Conference on Learning Representations (ICLR 2025), Singapore, April 24-28, 2025
Note

Published at ICLR 2025 Workshop on Reasoning and Planning for LLMs

Available from: 2025-09-01 Created: 2025-09-01 Last updated: 2025-09-01Bibliographically approved
In thesis
1. Neurosymbolic Decision-Making with Large Language Models
Open this publication in new window or tab >>Neurosymbolic Decision-Making with Large Language Models
2025 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Reasoning and decision-making are foundational challenges in artificial intelligence (AI). These processes are closely linked – an intelligent agent must reason about its environment and goals in order to make decisions and select actions. Two principal frameworks for sequential decision-making are AI planning and reinforcement learning (RL). Planning assumes access to a known model of the environment and uses symbolic representations to compute a sequence of actions that leads from an initial state to a desired goal. In contrast, RL focuse son learning behavior through interaction, enabling agents to develop policies that maximize long-term reward under uncertainty. Despite methodological differences, both approaches aim to generate intelligent, goal-directed action sequences.

The rise of Large Language Models (LLMs) has sparked significant interest in their potential to perform reasoning, planning, and decision-making tasks. Despite their impressive performance in natural language understanding and generalization, there is growing skepticism about whether LLMs genuinely reason or merely leverage statistical correlations. This dissertation investigates this question through a principled evaluation grounded in computational theory, using 3-SAT – the canonical NP-complete problem – as a testbed. The findings demonstrate that LLMs fail to exhibit sound and complete reasoning, especially on complex instances where shallow heuristics fail, and that their apparent reasoning abilities often stem from overfitting to statistical patterns.

To address these limitations, this dissertation proposes a range of neurosymbolic architectures that combine the generative flexibility of LLMs with the rigor and reliability of symbolic methods. Empirical evaluations across planning, reward design, and plan verification tasks show that such integration yields systems that are more robust and accurate. This work advances our theoretical and practical understanding of LLM-based reasoning, provides concrete design principles for neurosymbolic systems, and charts a path toward AI agents that integrate world knowledge with logical precision.

Place, publisher, year, edition, pages
Örebro: Örebro University, 2025. p. 67
Series
Örebro Studies in Technology, ISSN 1650-8580 ; 106
National Category
Computer Sciences
Identifiers
urn:nbn:se:oru:diva-122456 (URN)9789175296869 (ISBN)
Public defence
2025-10-17, Örebro universitet, Långhuset, Hörsal L2, Fakultetsgatan 1, Örebro, 13:00 (English)
Opponent
Supervisors
Available from: 2025-07-22 Created: 2025-07-22 Last updated: 2025-09-04Bibliographically approved

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Hazra, RishiZuidberg dos Martires, PedroDe Raedt, Luc

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