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We need much better understanding of information processing and computation as its primary form. Future progress of new computational devices capable of dealing with problems of big data, internet of things, semantic web, cognitive robotics…

综合文献 · 计算机科学 2013-12-10 Mark Burgin , Gordana Dodig-Crnkovic

Causality serves as an abstract notion of time for concurrent systems. A computation is causal, or simply valid, if each observation of a computation event is preceded by the observation of its causes. The present work establishes that this…

计算机科学中的逻辑 · 计算机科学 2026-03-03 Clément Aubert , Jean Krivine

Excellent computer simulations are done for a purpose. The most valid purposes are to explore uncharted territory, to resolve a well-posed scientific or technical question, or to make a design choice. Stand-alone modeling can serve the…

数值分析 · 数学 2025-10-20 Leo P. Kadanoff

Computational problems are classified into computable and uncomputable problems. If there exists an effective procedure (algorithm) to compute a problem then the problem is computable otherwise it is uncomputable. Turing machines can…

计算复杂性 · 计算机科学 2024-09-06 Asad Khaliq

This paper discusses "computational" systems capable of "computing" functions not computable by predefined Turing machines if the systems are not isolated from their environment. Roughly speaking, these systems can change their finite…

人工智能 · 计算机科学 2009-08-03 Kurt Ammon

When can a model of a physical system be regarded as computable? We provide the definition of a computable physical model to answer this question. The connection between our definition and Kreisel's notion of a mechanistic theory is…

逻辑 · 数学 2013-08-09 Matthew P. Szudzik

Many real-world dynamic systems, both natural and artificial, are understood to be performing computations. For artificial dynamic systems, explicitly designed to perform computation - such as digital computers - by construction, we can…

计算物理 · 物理学 2026-02-24 David H. Wolpert , Jan Korbel

As far as algorithmic thinking is bound by symbolic paper-and-pencil operations, the Church-Turing thesis appears to hold. But is physics, and even more so, is the human mind, bound by symbolic paper-and-pencil operations? What about the…

综合物理 · 物理学 2007-05-23 Karl Svozil

When designing systems that are complex, dynamic and stochastic in nature, simulation is generally recognised as one of the best design support technologies, and a valuable aid in the strategic and tactical decision making process. A…

神经与进化计算 · 计算机科学 2013-05-30 Peer-Olaf Siebers , Uwe Aickelin

The article provides an overview of approaches to modeling the human psyche in the perspective of building an artificial one. Based on the review, a concept of cognitive architecture is proposed, where the psyche is considered as an…

神经元与认知 · 定量生物学 2025-09-11 Anton Kolonin , Vladimir Kryukov

At a first glance the Theory of computation relies on potential infinity and an organization aimed at solving a problem. Under such aspect it is like Mendeleev theory of chemistry. Also its theoretical development reiterates that of this…

逻辑 · 数学 2021-01-15 Antonino Drago

The theory that all processes in the universe are computational is attractive in its promise to provide an understandable theory of everything. I want to suggest here that this pancomputationalism is not sufficiently clear on which problem…

其他计算机科学 · 计算机科学 2025-06-17 Vincent C. Müller

Computational mechanics, an approach to structural complexity, defines a process's causal states and gives a procedure for finding them. We show that the causal-state representation--an $\epsilon$-machine--is the minimal one consistent with…

统计力学 · 物理学 2022-02-17 Cosma Rohilla Shalizi , James P. Crutchfield

We consider the issue of computability at the most fundamental level of physical reality: the Planck scale. To this aim, we consider the theoretical model of a quantum computer on a non commutative space background, which is a computational…

广义相对论与量子宇宙学 · 物理学 2007-05-23 Paola Zizzi

Are minds subject to laws of physics? Are the laws of physics computable? Are conscious thought processes computable? Currently there is little agreement as to what are the right answers to these questions. Penrose goes one step further and…

量子物理 · 物理学 2010-03-17 C. Calude , D. I. Campbell , K. Svozil , D. Ştefănecu

Turing's (1936) paper on computable numbers has played its role in underpinning different perspectives on the world of information. On the one hand, it encourages a digital ontology, with a perceived flatness of computational structure…

逻辑 · 数学 2015-06-23 S. Barry Cooper

This paper reviews connections between physics and computation, and explores their implications. The main topics are computational "hardness" of physical systems, computational status of fundamental theories, quantum computation, and the…

逻辑 · 数学 2007-05-23 Joseph Shipman

Control systems are ubiquitous in modern technology, comprising an engineered plant to be kept within specific, often fine-tuned, limits, and a separate controller that ensures this is the case. While modern controllers often employ digital…

新兴技术 · 计算机科学 2026-04-20 Dominic Horsman , Susan Stepney , Tim Clarke , Viv Kendon

This paper introduces a category theory-based framework to redefine physical computing in light of advancements in quantum computing and non-standard computing systems. By integrating classical definitions within this broader perspective,…

量子物理 · 物理学 2024-07-18 Nima Dehghani , Gianluca Caterina

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…

多智能体系统 · 计算机科学 2023-10-27 Catalin Dima , Wojciech Jamroga