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We describe a mathematical models of grounded symbols in the brain. It also serves as a computational foundations for Perceptual Symbol System (PSS). This development requires new mathematical methods of dynamic logic (DL), which have…

Neurons and Cognition · Quantitative Biology 2010-10-21 Leonid Perlovsky , Roman Ilin

Recent studies of the applications of conversational AI tools, such as chatbots powered by large language models, to complex real-world knowledge work have shown limitations related to reasoning and multi-step problem solving. Specifically,…

Artificial Intelligence · Computer Science 2024-03-06 Nova Spivack , Sam Douglas , Michelle Crames , Tim Connors

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

Many recent studies have found evidence for emergent reasoning capabilities in large language models (LLMs), but debate persists concerning the robustness of these capabilities, and the extent to which they depend on structured reasoning…

Computation and Language · Computer Science 2025-06-09 Yukang Yang , Declan Campbell , Kaixuan Huang , Mengdi Wang , Jonathan Cohen , Taylor Webb

There is a wide gap between symbolic reasoning and deep learning. In this research, we explore the possibility of using deep learning to improve symbolic reasoning. Briefly, in a reasoning system, a deep feedforward neural network is used…

Artificial Intelligence · Computer Science 2018-09-13 Cheng-Hao Cai , Dengfeng Ke , Yanyan Xu , Kaile Su

Reasoning is an essential component of human intelligence in that it plays a fundamental role in our ability to think critically, support responsible decisions, and solve challenging problems. Traditionally, AI has addressed reasoning in…

Artificial Intelligence · Computer Science 2025-11-17 Ha-Thanh Nguyen , Ken Satoh , Francesca Toni , Randy Goebel , Kostas Stathis

Machine common sense remains a broad, potentially unbounded problem in artificial intelligence (AI). There is a wide range of strategies that can be employed to make progress on this challenge. This article deals with the aspects of…

Artificial Intelligence · Computer Science 2020-06-16 Alexander Gavrilenko , Katerina Morozova

Human reasoning can often be understood as an interplay between two systems: the intuitive and associative ("System 1") and the deliberative and logical ("System 2"). Neural sequence models -- which have been increasingly successful at…

Artificial Intelligence · Computer Science 2021-12-16 Maxwell Nye , Michael Henry Tessler , Joshua B. Tenenbaum , Brenden M. Lake

In this paper, a deep neural network approach and a neuro-symbolic one are proposed for classification and regression. The neuro-symbolic predictive models based on Logic Tensor Networks are capable of discriminating and in the same time of…

Neural and Evolutionary Computing · Computer Science 2024-06-19 Eduard Hogea , Darian Onchis

We propose a hybrid architecture that integrates decision tree-based symbolic reasoning with the generative capabilities of large language models (LLMs) within a coordinated multi-agent framework. Unlike prior approaches that loosely couple…

Artificial Intelligence · Computer Science 2025-08-08 Andrew Kiruluta

In this paper, we present our position for a neuralsymbolic integration strategy, arguing in favor of a hybrid representation to promote an effective integration. Such description differs from others fundamentally, since its entities aim at…

Artificial Intelligence · Computer Science 2019-12-19 Marcio Moreno , Daniel Civitarese , Rafael Brandao , Renato Cerqueira

With the emergence of advanced reasoning models like OpenAI o3 and DeepSeek-R1, large language models (LLMs) have demonstrated remarkable reasoning capabilities. However, their ability to perform rigorous logical reasoning remains an open…

Artificial Intelligence · Computer Science 2025-02-14 Hanmeng Liu , Zhizhang Fu , Mengru Ding , Ruoxi Ning , Chaoli Zhang , Xiaozhang Liu , Yue Zhang

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

Deep learning has been shown to achieve impressive results in several tasks where a large amount of training data is available. However, deep learning solely focuses on the accuracy of the predictions, neglecting the reasoning process…

Artificial Intelligence · Computer Science 2020-02-07 Giuseppe Marra , Michelangelo Diligenti , Francesco Giannini , Marco Gori , Marco Maggini

Automated theorem provers and formal proof assistants are general reasoning systems that are in theory capable of proving arbitrarily hard theorems, thus solving arbitrary problems reducible to mathematics and logical reasoning. In…

Artificial Intelligence · Computer Science 2025-06-23 Lasse Blaauwbroek , David Cerna , Thibault Gauthier , Jan Jakubův , Cezary Kaliszyk , Martin Suda , Josef Urban

The AI community has been exploring a pathway to artificial general intelligence (AGI) by developing "language agents", which are complex large language models (LLMs) pipelines involving both prompting techniques and tool usage methods.…

Do LLMs understand the meaning of the texts they generate? Do they possess a semantic grounding? And how could we understand whether and what they understand? I start the paper with the observation that we have recently witnessed a…

Computation and Language · Computer Science 2024-02-20 Holger Lyre

The growing adoption of large language models in legal practice brings both significant promise and serious risk. Legal professionals stand to benefit from AI that can reason over contracts, draft documents, and analyze sources at scale,…

Artificial Intelligence · Computer Science 2026-05-15 Olivia Peiyu Wang , Leilani H. Gilpin

One of the enduring challenges in education is how to empower students to take ownership of their learning by setting meaningful goals, tracking their progress, and adapting their strategies when faced with setbacks. Research has shown that…

Multiagent Systems · Computer Science 2025-08-27 Ryan Hare , Ying Tang

A wide range of real-world applications is characterized by their symbolic nature, necessitating a strong capability for symbolic reasoning. This paper investigates the potential application of Large Language Models (LLMs) as symbolic…

Computation and Language · Computer Science 2024-01-18 Meng Fang , Shilong Deng , Yudi Zhang , Zijing Shi , Ling Chen , Mykola Pechenizkiy , Jun Wang