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Large language models have achieved remarkable progress on complex reasoning tasks. However, they often implicitly fabricate information when inputs are incomplete, producing confident but unreliable conclusions -- a failure mode we term…

Computation and Language · Computer Science 2026-04-22 Yiwen Qiu , Linjuan Wu , Yizhou Liu , Yuchen Yan , Jin Ma , Xu Tan , Yao Hu , Daoxin Zhang , Wenqi Zhang , Weiming Lu , Jun Xiao , Yongliang Shen

This paper establishes a theoretical foundation for understanding the fundamental limits of AI explainability through algorithmic information theory. We formalize explainability as the approximation of complex models by simpler ones,…

Artificial Intelligence · Computer Science 2025-11-04 Shrisha Rao

Given a model and a specification, the fundamental model-checking problem asks for algorithmic verification of whether the model satisfies the specification. We consider graphs and Markov decision processes (MDPs), which are fundamental…

Data Structures and Algorithms · Computer Science 2018-04-16 Krishnendu Chatterjee , Monika Henzinger , Veronika Loitzenbauer , Simin Oraee , Viktor Toman

Inspired by humans' exceptional ability to master arithmetic and generalize to new problems, we present a new dataset, Handwritten arithmetic with INTegers (HINT), to examine machines' capability of learning generalizable concepts at three…

Machine Learning · Computer Science 2023-04-19 Qing Li , Siyuan Huang , Yining Hong , Yixin Zhu , Ying Nian Wu , Song-Chun Zhu

Recent advancements in large language models (LLMs) have revitalized philosophical debates surrounding artificial intelligence. Two of the most fundamental challenges - namely, the Frame Problem and the Symbol Grounding Problem - have…

Artificial Intelligence · Computer Science 2025-06-10 Shoko Oka

Formal, Distributional, and Grounded theories of computational semantics each have their uses and their drawbacks. There has been a shift to ground models of language by adding visual knowledge, and there has been a call to enrich models of…

Computation and Language · Computer Science 2025-07-10 Casey Kennington , David Schlangen

We discuss views about whether the universe can be rationally comprehended, starting with Plato, then Leibniz, and then the views of some distinguished scientists of the previous century. Based on this, we defend the thesis that…

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

We consider the problem of learning the semantics of composite algebraic expressions from examples. The outcome is a versatile framework for studying learning tasks that can be put into the following abstract form: The input is a partial…

Computation and Language · Computer Science 2022-07-05 Johanna Björklund , Adam Dahlgren Lindström , Frank Drewes

Grounding the common-sense reasoning of Large Language Models (LLMs) in physical domains remains a pivotal yet unsolved problem for embodied AI. Whereas prior works have focused on leveraging LLMs directly for planning in symbolic spaces,…

Robotics · Computer Science 2024-12-10 Yanwei Wang , Tsun-Hsuan Wang , Jiayuan Mao , Michael Hagenow , Julie Shah

Can machines truly think, reason and act in domains like humans? This enduring question continues to shape the pursuit of Artificial General Intelligence (AGI). Despite the growing capabilities of models such as GPT-4.5, DeepSeek, Claude…

If a robotic agent wants to exploit symbolic planning techniques to achieve some goal, it must be able to properly ground an abstract planning domain in the environment in which it operates. However, if the environment is initially unknown…

Artificial Intelligence · Computer Science 2022-04-11 Leonardo Lamanna , Luciano Serafini , Alessandro Saetti , Alfonso Gerevini , Paolo Traverso

Current learning models often struggle with human-like systematic generalization, particularly in learning compositional rules from limited data and extrapolating them to novel combinations. We introduce the Neural-Symbolic Recursive…

Machine Learning · Computer Science 2024-04-30 Qing Li , Yixin Zhu , Yitao Liang , Ying Nian Wu , Song-Chun Zhu , Siyuan Huang

In recent years, data-intensive AI, particularly the domain of natural language processing and understanding, has seen significant progress driven by the advent of large datasets and deep neural networks that have sidelined more classic AI…

Artificial Intelligence · Computer Science 2020-12-08 Nikhil Krishnaswamy , James Pustejovsky

Visual Grounding, also known as Referring Expression Comprehension and Phrase Grounding, aims to ground the specific region(s) within the image(s) based on the given expression text. This task simulates the common referential relationships…

Computer Vision and Pattern Recognition · Computer Science 2025-11-12 Linhui Xiao , Xiaoshan Yang , Xiangyuan Lan , Yaowei Wang , Changsheng Xu

Reasoning, the ability to logically draw conclusions from existing knowledge, is a hallmark of human. Together with perception, they constitute the two major themes of artificial intelligence. While deep learning has pushed the limit of…

Artificial Intelligence · Computer Science 2024-10-18 Zhaocheng Zhu

It is expected that progress toward true artificial intelligence will be achieved through the emergence of a system that integrates representation learning and complex reasoning (LeCun et al. 2015). In response to this prediction, research…

Artificial Intelligence · Computer Science 2017-11-07 Ju-Hong Lee , Moon-Ju Kang , Bumghi Choi

Generating effective test inputs for a software system requires that these inputs be valid, as they will otherwise be rejected without reaching actual functionality. In the absence of a specification for the input language, common test…

Software Engineering · Computer Science 2025-03-12 Leon Bettscheider , Andreas Zeller

Non-markovian Reinforcement Learning (RL) tasks are very hard to solve, because agents must consider the entire history of state-action pairs to act rationally in the environment. Most works use symbolic formalisms (as Linear Temporal Logic…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Francesco Argenziano , Roberto Capobianco

Robotic agents should be able to learn from sub-symbolic sensor data, and at the same time, be able to reason about objects and communicate with humans on a symbolic level. This raises the question of how to overcome the gap between…

Artificial Intelligence · Computer Science 2020-02-25 Pedro Zuidberg Dos Martires , Nitesh Kumar , Andreas Persson , Amy Loutfi , Luc De Raedt

We survey concepts at the frontier of research connecting artificial, animal and human cognition to computation and information processing---from the Turing test to Searle's Chinese Room argument, from Integrated Information Theory to…

Artificial Intelligence · Computer Science 2015-12-25 Nicolas Gauvrit , Hector Zenil , Jesper Tegnér