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This work introduces Symbolic-Aided Chain-of-Thought (CoT), an improved approach to standard CoT, for logical reasoning in large language models (LLMs). The key idea is to integrate lightweight symbolic representations into few-shot…

Artificial Intelligence · Computer Science 2025-10-07 Phuong Minh Nguyen , Tien Huu Dang , Naoya Inoue

Rule-based reasoning over natural language input arises in domains where decisions must be auditable and justifiable: clinical protocols specify eligibility criteria in prose, evidence rules define admissibility through textual conditions,…

Artificial Intelligence · Computer Science 2026-01-06 Albert Sadowski , Jarosław A. Chudziak

Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision…

Artificial Intelligence · Computer Science 2012-07-19 Leila Amgoud , Henri Prade

Large Language Models (LLMs), despite their success in question answering, exhibit limitations in complex multi-hop question answering (MQA) tasks that necessitate non-linear, structured reasoning. This limitation stems from their inability…

Computation and Language · Computer Science 2025-09-25 Haonan Bian , Yutao Qi , Rui Yang , Yuanxi Che , Jiaqian Wang , Heming Xia , Ranran Zhen

Common Knowledge Logic is meant to describe situations of the real world where a group of agents is involved. These agents share knowledge and make strong statements on the knowledge of the other agents (the so called \emph{common…

Computer Science and Game Theory · Computer Science 2007-12-20 Pierre Lescanne , Jérôme Puisségur

Recent years have witnessed tremendous progress in enabling LLMs to solve complex reasoning tasks such as math and coding. As we start to apply LLMs to harder tasks that they may not be able to solve in one shot, it is worth paying…

Artificial Intelligence · Computer Science 2026-05-18 Hengyuan Hu , Tingchen Fu , Minqi Jiang , Alexander H Miller , Yoram Bachrach , Jakob Nicolaus Foerster

We present Bluebell, a program logic for reasoning about probabilistic programs where unary and relational styles of reasoning come together to create new reasoning tools. Unary-style reasoning is very expressive and is powered by…

Logic in Computer Science · Computer Science 2024-12-16 Jialu Bao , Emanuele D'Osualdo , Azadeh Farzan

This paper presents an extended version of the SPADE platform, which aims to empower intelligent agent systems with normative reasoning and value alignment capabilities. Normative reasoning involves evaluating social norms and their impact…

The combined approach of the Qualitative Reasoning and Probabilistic Functions for the knowledge representation is proposed. The method aims at represent uncertain, qualitative knowledge that is essential for the moving blocks task's…

Robotics · Computer Science 2013-07-30 P. A. Wałȩga

Automated decision support systems that are able to infer second opinions from experts can potentially facilitate a more efficient allocation of resources; they can help decide when and from whom to seek a second opinion. In this paper, we…

Machine Learning · Computer Science 2022-07-01 Nina L. Corvelo Benz , Manuel Gomez Rodriguez

The prevailing approach to distilling reasoning from Large Language Models (LLMs)-behavioral cloning from textual rationales-is fundamentally limited. It teaches Small Language Models (SLMs) to mimic surface-level patterns rather than the…

Artificial Intelligence · Computer Science 2025-10-02 Xiangyu Wen , Junhua Huang , Zeju Li , Min Li , Jianyuan Zhong , Zhijian Xu , Mingxuan Yuan , Yongxiang Huang , Qiang Xu

This position statement looks back on two decades of work on shallow embeddings of non-classical logics in classical higher-order logic (HOL), a line of research that expanded into a range of logic embeddings in HOL and inspired the LogiKEy…

Logic in Computer Science · Computer Science 2026-05-27 Christoph Benzmüller , Daniel Kirchner , Luca Pasetto

We propose an automatic approach to analyze the consistency and satisfiability of Unified Modeling Language UML models containing multiple class, object and statechart diagrams using logic reasoners for the Web Ontology Language OWL 2. We…

Artificial Intelligence · Computer Science 2022-05-24 Ali Hanzala Khan , Ivan Porres

We identify agreement and disagreement between utterances that express stances towards a topic of discussion. Existing methods focus mainly on conversational settings, where dialogic features are used for (dis)agreement inference. We extend…

Computation and Language · Computer Science 2019-06-05 Chang Xu , Cecile Paris , Surya Nepal , Ross Sparks

Solving complex reasoning tasks may involve visual understanding, domain knowledge retrieval, numerical calculation, and multi-step reasoning. Existing methods augment large language models (LLMs) with external tools but are restricted to…

Machine Learning · Computer Science 2026-04-15 Pan Lu , Bowen Chen , Sheng Liu , Rahul Thapa , Joseph Boen , James Zou

This paper provides a self-contained first introduction to description logics (DLs). The main concepts and features are explained with examples before syntax and semantics of the DL SROIQ are defined in detail. Additional sections review…

Artificial Intelligence · Computer Science 2013-06-04 Markus Krötzsch , Frantisek Simancik , Ian Horrocks

The decoupling between the representation of a certain problem, i.e., its knowledge model, and the reasoning side is one of main strong points of model-based Artificial Intelligence (AI). This allows, e.g. to focus on improving the…

Artificial Intelligence · Computer Science 2022-03-03 Carmine Dodaro , Marco Maratea , Mauro Vallati

Human reasoning can be understood as a cooperation between the intuitive, associative "System-1" and the deliberative, logical "System-2". For existing System-1-like methods in visual activity understanding, it is crucial to integrate…

Computer Vision and Pattern Recognition · Computer Science 2023-11-30 Xiaoqian Wu , Yong-Lu Li , Jianhua Sun , Cewu Lu

Recent advances in the intrinsic reasoning capabilities of large language models (LLMs) have given rise to LLM-based agent systems that exhibit near-human performance on a variety of automated tasks. However, although these systems share…

Artificial Intelligence · Computer Science 2025-08-26 Bingxi Zhao , Lin Geng Foo , Ping Hu , Christian Theobalt , Hossein Rahmani , Jun Liu