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We consider computations of a Turing machine subjected to noise. In every step, the action (the new state and the new content of the observed cell, the direction of the head movement) can differ from that prescribed by the transition…

Computational Complexity · Computer Science 2021-12-07 Ilir Çapuni , Peter Gács

We advance a Bayesian concept of 'intrinsic asymptotic universality' taking to its final conclusions previous conceptual and numerical work based upon a concept of a reprogrammability test and an investigation of the complex qualitative…

Computational Complexity · Computer Science 2016-01-14 Hector Zenil , Jürgen Riedel

Weird machines---the computational models accessible by exploiting security vulnerabilities---arise from the difference between the model a programmer has in her head of how her program should run and the implementation that actually…

Cryptography and Security · Computer Science 2019-11-04 Jennifer Paykin , Eric Mertens , Mark Tullsen , Luke Maurer , Benoît Razet , Alexander Bakst , Scott Moore

This paper shows that the programming model of Babbage's Analytical Engine, although unconventional, can be harnessed in order to simulate indirect addressing, a capability that was not included in the original instruction set. That is, in…

Logic in Computer Science · Computer Science 2024-08-08 Raul Rojas

A universal Turing machine is a powerful concept - a single device can compute any function that is computable. A universal spin model, similarly, is a class of physical systems whose low energy behavior simulates that of any spin system.…

Computational Complexity · Computer Science 2024-06-25 Tomáš Gonda , Gemma De les Coves

We outline the construction of a molecular system that could, in principle, implement a thermodynamically reversible Universal Turing Machine (UTM). By proposing a concrete-albeit idealised-design and operational protocol, we reveal…

Statistical Mechanics · Physics 2021-02-09 Rory A. Brittain , Nick S. Jones , Thomas E. Ouldridge

State-of-the-art deep classifiers are intriguingly vulnerable to universal adversarial perturbations: single disturbances of small magnitude that lead to misclassification of most in-puts. This phenomena may potentially result in a serious…

Neural and Evolutionary Computing · Computer Science 2021-04-07 Nurislam Tursynbek , Ilya Vilkoviskiy , Maria Sindeeva , Ivan Oseledets

This study presents a roadmap towards utilizing a single arbitrary gate for universal quantum computing. Since two decades ago, it has been widely accepted that almost any single arbitrary gate with qubit number $>2$ is universal. Utilizing…

Quantum Physics · Physics 2024-10-01 Zhong-Yi Ni , Yu-Sheng Zhao , Jin-Guo Liu

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

So far, following the works of A.M. Turing, the algorithms were considered as the mathematical abstraction from which we could write programs for computers whose principle was based on the theoretical concept of Turing machine. We start…

Computational Complexity · Computer Science 2013-04-23 Marc Bui , Michel Lamure , Ivan Lavallee

The Universal Turing Machine (TM) is a model for VonNeumann computers --- general-purpose computers. A human brain can inside-skull-automatically learn a universal TM so that he acts as a general-purpose computer and writes a computer…

Artificial Intelligence · Computer Science 2019-03-28 Juyang Weng

Memory corruption is a serious class of software vulnerabilities, which requires careful attention to be detected and removed from applications before getting exploited and harming the system users. Symbolic execution is a well-known method…

Cryptography and Security · Computer Science 2025-09-16 Sara Baradaran , Mahdi Heidari , Ali Kamali , Maryam Mouzarani

We survey some work concerned with small universal Turing machines, cellular automata, tag systems, and other simple models of computation. For example it has been an open question for some time as to whether the smallest known universal…

Computational Complexity · Computer Science 2011-10-12 Turlough Neary , Damien Woods

This work studies the problem of constructing capacity-achieving codes from an algorithmic perspective. Specifically, we prove that there exists a Turing machine which, given a discrete memoryless channel $p_{Y|X}$, a target rate $R$ less…

Information Theory · Computer Science 2025-11-06 Angelos Gkekas , Nikos A. Mitsiou , Ioannis Souldatos , George K. Karagiannidis

Incomputability as a mathematical notion arose from work of Alan Turing and Alonzo Church in the 1930s. Like Turing himself, it attracted less attention than it deserved beyond the confines of mathematics. Today our experiences in computer…

History and Overview · Mathematics 2013-04-24 S. Barry Cooper

Manin, Feynman, and Deutsch have viewed quantum computing as a kind of universal physical simulation procedure. Much of the writing about quantum logic circuits and quantum Turing machines has shown how these machines can simulate an…

Quantum Physics · Physics 2007-10-22 Willem Fouche' , Johannes Heidema , Glyn Jones , Petrus H. Potgieter

An uncertainty compiler is a tool that automatically translates original computer source code lacking explicit uncertainty analysis into code containing appropriate uncertainty representations and uncertainty propagation algorithms. We have…

Mathematical Software · Computer Science 2023-06-05 Nicholas Gray , Marco De Angelis , Scott Ferson

A remarkable new definition of a self-delimiting universal Turing machine is presented that is easy to program and runs very quickly. This provides a new foundation for algorithmic information theory. This new universal Turing machine is…

chao-dyn · Physics 2008-02-03 G. J. Chaitin

Turing test was originally proposed to examine whether machine's behavior is indistinguishable from a human. The most popular and practical Turing test is CAPTCHA, which is to discriminate algorithm from human by offering recognition-alike…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Jiaming Zhang , Jitao Sang , Kaiyuan Xu , Shangxi Wu , Yongli Hu , Yanfeng Sun , Jian Yu

Metastability is a spurious mode of operation in digital signals, where an electrical signal fails to settle into a stable state within a specified time, leading to uncertainty and potentially failing downstream hardware. A system that…

Computational Complexity · Computer Science 2026-04-21 Johannes Bund , Amir Leshem , Moti Medina
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