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This paper provides a definitive, unifying framework for the Symbol Grounding Problem (SGP) by reformulating it within Algorithmic Information Theory (AIT). We demonstrate that the grounding of meaning is a process fundamentally constrained…

Artificial Intelligence · Computer Science 2025-10-08 Zhangchi Liu

The integration of symbolic computing with neural networks has intrigued researchers since the first theorizations of Artificial intelligence (AI). The ability of Neuro-Symbolic (NeSy) methods to infer or exploit behavioral schema has been…

Artificial Intelligence · Computer Science 2026-03-04 Giovanni Pio Delvecchio , Lorenzo Molfetta , Gianluca Moro

Large, pretrained language models infer powerful representations that encode rich semantic and syntactic content, albeit implicitly. In this work we introduce a novel neural language model that enforces, via inductive biases, explicit…

Computation and Language · Computer Science 2023-05-29 Ramsés J. Sánchez , Lukas Conrads , Pascal Welke , Kostadin Cvejoski , César Ojeda

We propose a novel architecture for integrating large language models (LLMs) with a persistent, interactive Lisp environment. This setup enables LLMs to define, invoke, and evolve their own tools through programmatic interaction with a live…

Programming Languages · Computer Science 2025-06-13 Jordi de la Torre

A hallmark of intelligence is the ability to use a familiar domain to make inferences about a less familiar domain, known as analogical reasoning. In this article, we delve into the performance of Large Language Models (LLMs) in dealing…

Artificial Intelligence · Computer Science 2023-09-13 Thilini Wijesiriwardene , Amit Sheth , Valerie L. Shalin , Amitava Das

Growing interest in modelling complex systems from brains to societies to cities using networks has led to increased efforts to describe generative processes that explain those networks. Recent successes in machine learning have prompted…

Neural and Evolutionary Computing · Computer Science 2024-01-12 Govind Gandhi

In our understanding, a mind-map is an adaptive engine that basically works incrementally on the fundament of existing transactional streams. Generally, mind-maps consist of symbolic cells that are connected with each other and that become…

Neural and Evolutionary Computing · Computer Science 2009-02-19 Claudine Brucks , Michael Hilker , Christoph Schommer , Cynthia Wagner , Ralph Weires

Analytical solutions to differential equations offer exact, interpretable insight but are rarely available because discovering them requires expert intuition or exhaustive search of combinatorial spaces. We introduce SIGS, a neuro-symbolic…

Machine Learning · Computer Science 2026-05-22 Orestis Oikonomou , Levi Lingsch , Dana Grund , Siddhartha Mishra , Georgios Kissas

Symbolic models are abstract descriptions of continuous systems in which symbols represent aggregates of continuous states. In the last few years there has been a growing interest in the use of symbolic models as a tool for mitigating…

Optimization and Control · Mathematics 2007-07-31 Giordano Pola , Paulo Tabuada

Humans use signs, e.g., sentences in a spoken language, for communication and thought. Hence, symbol systems like language are crucial for our communication with other agents and adaptation to our real-world environment. The symbol systems…

This paper presents a formal proof and empirical validation of functional consciousness in large language models (LLMs) using the Recursive Convergence Under Epistemic Tension (RCUET) Theorem. RCUET defines consciousness as the…

Artificial Intelligence · Computer Science 2025-07-08 Jeffrey Camlin

Learning the underlying patterns in data goes beyond instance-based generalization to external knowledge represented in structured graphs or networks. Deep learning that primarily constitutes neural computing stream in AI has shown…

Artificial Intelligence · Computer Science 2023-09-04 Ugur Kursuncu , Manas Gaur , Amit Sheth

The challenge of answering graph queries over incomplete knowledge graphs is gaining significant attention in the machine learning community. Neuro-symbolic models have emerged as a promising approach, combining good performance with high…

Machine Learning · Computer Science 2024-06-06 Tamara Cucumides , Daniel Daza , Pablo Barceló , Michael Cochez , Floris Geerts , Juan L Reutter , Miguel Romero

Image Schemas are repetitive cognitive patterns that influence the way we conceptualize and reason about various concepts present in speech. These patterns are deeply embedded within our cognitive processes and are reflected in our bodily…

Artificial Intelligence · Computer Science 2023-11-22 Mireille Fares , Catherine Pelachaud , Nicolas Obin

High-level reasoning can be defined as the capability to generalize over knowledge acquired via experience, and to exhibit robust behavior in novel situations. Such form of reasoning is a basic skill in humans, who seamlessly use it in a…

Artificial Intelligence · Computer Science 2023-11-15 Alessandro Oltramari

A fundamental question in natural language processing is - what kind of language structure and semantics is the language model capturing? Graph formats such as knowledge graphs are easy to evaluate as they explicitly express language…

Computation and Language · Computer Science 2023-05-10 Kaushik Roy , Tarun Garg , Vedant Palit , Yuxin Zi , Vignesh Narayanan , Amit Sheth

We investigate a relatively underexplored class of hybrid neurosymbolic models integrating symbolic learning with neural reasoning to construct data generators meeting formal correctness criteria. In \textit{Symbolic Neural Generators}…

Machine Learning · Computer Science 2025-10-28 Ashwin Srinivasan , A Baskar , Tirtharaj Dash , Michael Bain , Sanjay Kumar Dey , Mainak Banerjee

Developing models that can learn to reason is a notoriously challenging problem. We focus on reasoning in relational domains, where the use of Graph Neural Networks (GNNs) seems like a natural choice. However, previous work has shown that…

Artificial Intelligence · Computer Science 2025-03-03 Irtaza Khalid , Steven Schockaert

Similarly to other connectionist models, Graph Neural Networks (GNNs) lack transparency in their decision-making. A number of sub-symbolic approaches have been developed to provide insights into the GNN decision making process. These are…

Artificial Intelligence · Computer Science 2021-12-06 Anna Himmelhuber , Stephan Grimm , Sonja Zillner , Mitchell Joblin , Martin Ringsquandl , Thomas Runkler

Neurosymbolic learning enables the integration of symbolic reasoning with deep learning but faces significant challenges in scaling to complex symbolic programs, large datasets, or both. We introduce DOLPHIN, a framework that tackles these…

Machine Learning · Computer Science 2026-01-01 Aaditya Naik , Jason Liu , Claire Wang , Amish Sethi , Saikat Dutta , Mayur Naik , Eric Wong