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We study the computational complexity theory of smooth, finite-dimensional dynamical systems. Building off of previous work, we give definitions for what it means for a smooth dynamical system to simulate a Turing machine. We then show that…

Computational Complexity · Computer Science 2024-09-19 Jordan Cotler , Semon Rezchikov

Making decisions freely presupposes that there is some indeterminacy in the environment and in the decision making engine. The former is reflected on the behavioral changes due to communicating: few changes indicate rigid environments;…

Artificial Intelligence · Computer Science 2020-09-23 Luis A. Pineda

Why should moral philosophers, moral psychologists, and machine ethicists care about computational complexity? Debates on whether artificial intelligence (AI) can or should be used to solve problems in ethical domains have mainly been…

Computational Complexity · Computer Science 2023-02-09 Jakob Stenseke

Instruction sequence is a key concept in practice, but it has as yet not come prominently into the picture in theoretical circles. This paper concerns instruction sequences, the behaviours produced by them under execution, the interaction…

Logic in Computer Science · Computer Science 2012-05-07 J. A. Bergstra , C. A. Middelburg

Recently, many techniques have been introduced that allow the (automated) classification of the runtime complexity of term rewrite systems (TRSs for short). In earlier work, the authors have shown that for confluent TRSs, innermost…

Computational Complexity · Computer Science 2011-06-09 Martin Avanzini , Georg Moser

Human-robot interactive decision-making is increasingly becoming ubiquitous, and trust is an influential factor in determining the reliance on autonomy. However, it is not reasonable to trust systems that are beyond our comprehension, and…

Machine Learning · Computer Science 2021-08-16 Daoming Lyu , Fangkai Yang , Hugh Kwon , Wen Dong , Levent Yilmaz , Bo Liu

Behavior Trees constitute a widespread AI tool which has been successfully spun out in robotics. Their advantages include simplicity, modularity, and reusability of code. However, Behavior Trees remain a high-level decision making engine;…

Robotics · Computer Science 2020-09-01 Pilar de la Cruz , Justus Piater , Matteo Saveriano

As machine learning models are increasingly deployed in high-stakes domains, the need for interpretability has grown to meet strict regulatory and accountability constraints. Despite this interest, systematic evaluations of inherently…

Machine Learning · Computer Science 2026-03-27 Mattia Billa , Giovanni Orlandi , Veronica Guidetti , Federica Mandreoli

Real-life agents seldom have unlimited reasoning power. In this paper, we propose and study a new formal notion of computationally bounded strategic ability in multi-agent systems. The notion characterizes the ability of a set of agents to…

Multiagent Systems · Computer Science 2023-10-27 Catalin Dima , Wojciech Jamroga

Scalable AI tutoring for procedural skill learning requires structured knowledge representations, yet constructing these representations remains a labor-intensive bottleneck. This paper introduces a new LLM-assisted text-to-model (TTM)…

Human-Computer Interaction · Computer Science 2026-05-05 Rahul K. Dass , Shubham Puri , Arpit Khandelwal , Xiao Jin , Ashok K. Goel

Brain digital twins aim to provide faithful, individualized computational representations of brains as dynamical systems, enabling mechanistic understanding and supporting prediction of clinical interventions. Yet current approaches remain…

Computational Engineering, Finance, and Science · Computer Science 2026-04-16 Alexandre Muzy

Intelligent Tutoring Systems (ITSs) can provide personalized and self-paced learning experience. The emergence of large language models (LLMs) further enables better human-machine interaction, and facilitates the development of…

Computation and Language · Computer Science 2025-05-29 Zhengyuan Liu , Stella Xin Yin , Geyu Lin , Nancy F. Chen

Given the ever-increasing complexity of adaptable software systems and their commonly hidden internal information (e.g., software runs in the public cloud), machine learning based performance modeling has gained momentum for evaluating,…

Software Engineering · Computer Science 2019-03-27 Tao Chen

Continuous time recurrent neural networks (CTRNN) are systems of coupled ordinary differential equations that are simple enough to be insightful for describing learning and computation, from both biological and machine learning viewpoints.…

Dynamical Systems · Mathematics 2021-06-18 Peter Ashwin , Claire M Postlethwaite

We use referential translation machines (RTMs) to identify the similarity between an attribute and two words in English by casting the task as machine translation performance prediction (MTPP) between the words and the attribute word and…

Computation and Language · Computer Science 2024-07-09 Ergun Biçici

This paper introduces the Quest Graph, a formal framework for analyzing the capabilities of agentic systems with finite context. We define abstractions that model common reasoning techniques and establish their computational power: the base…

Computational Complexity · Computer Science 2026-02-17 Chatavut Viriyasuthee

Real-world artificial intelligence (AI) systems are increasingly required to operate autonomously in dynamic, uncertain, and continuously changing environments. However, most existing AI models rely on predefined objectives, static training…

Artificial Intelligence · Computer Science 2025-11-04 Hong Su

Recent advances in recurrent neural network architectures, such as Mamba and RWKV, have enabled RNNs to match or exceed the performance of equal-size transformers in terms of language modeling perplexity and downstream evaluations,…

Machine Learning · Computer Science 2024-04-10 Gonçalo Paulo , Thomas Marshall , Nora Belrose

We propose Token Turing Machines (TTM), a sequential, autoregressive Transformer model with memory for real-world sequential visual understanding. Our model is inspired by the seminal Neural Turing Machine, and has an external memory…

The benchmark for computation is typically given as Turing computability; the ability for a computation to be performed by a Turing Machine. Many languages exploit (indirect) encodings of Turing Machines to demonstrate their ability to…

Formal Languages and Automata Theory · Computer Science 2014-10-29 Thomas Given-Wilson