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Tantrix is a puzzle to make a loop by connecting lines drawn on hexagonal tiles, and the objective of this research is to solve it by a computer. For this purpose, we give a problem setting of solving Tantrix as arranging tiles in an…

Discrete Mathematics · Computer Science 2012-03-01 Fumika Kino , Yushi Uno

A new model for mechanical computing is demonstrated that requires only two basic parts: links and rotary joints. These basic parts are combined into two main higher level structures: locks and balances, which suffice to create all…

Emerging Technologies · Computer Science 2019-03-27 Ralph C. Merkle , Robert A. Freitas , Tad Hogg , Thomas E. Moore , Matthew S. Moses , James Ryley

A mathematical model for behavioral changes by pair interactions (i.e. due to direct contact) of individuals is developed. Three kinds of pair interactions can be distinguished: Imitative processes, avoidance processes, and compromising…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

This essay aims to propose construction theory, a new domain of theoretical research on machine construction, and use it to shed light on a fundamental relationship between living and computational systems. Specifically, we argue that…

Adaptation and Self-Organizing Systems · Physics 2009-09-29 Hiroki Sayama

Dawson and Perkins [Ann. Probab. 26 (1988) 1088--1138] constructed a stochastic model of an interacting two-type population indexed by a countable site space which locally undergoes a mutually catalytic branching mechanism. In Klenke and…

Probability · Mathematics 2010-10-04 Achim Klenke , Mario Oeler

The timed pattern matching problem is formulated by Ulus et al. and has been actively studied since, with its evident application in monitoring real-time systems. The problem takes as input a timed word/signal and a timed pattern (specified…

Formal Languages and Automata Theory · Computer Science 2018-10-22 Masaki Waga , Takumi Akazaki , Ichiro Hasuo

Some microfluidic lab-on-chip devices contain modules whose function is to mix two fluids, called reactant and buffer, in desired proportions. In one of the technologies for fluid mixing the process can be represented by a directed acyclic…

Discrete Mathematics · Computer Science 2019-05-21 Miguel Coviello Gonzalez , Marek Chrobak

This paper investigates two-terminal interactive function computation with reconstruction constraints. Each terminal wants to compute a (possibly different) function of two correlated sources, but can only access one of the sources…

Information Theory · Computer Science 2013-10-10 Farideh Ebrahim Rezagah , Elza Erkip

This is a perspective paper inspired from the study of Turing Test proposed by A.M. Turing (23 June 1912 - 7 June 1954) in 1950. Following one important implication of Turing Test for enabling a machine with a human-like behavior or…

Artificial Intelligence · Computer Science 2021-01-08 Bao-Gang Hu , Wei-Ming Dong

Human Computer Interaction (HCI) is a field in which developer makes a user friendly system. User can interact with a computer system without using any conventional peripheral devices. Marker is used to recognize hand movement accurately &…

Human-Computer Interaction · Computer Science 2014-02-05 Kinjal N. Shah , Kirit R. Rathod , Shardul J. Agravat

Turing's theory of pattern formation is a universal model for self-organization, applicable to many systems in physics, chemistry and biology. Essential properties of a Turing system, such as the conditions for the existence of patterns and…

Adaptation and Self-Organizing Systems · Physics 2018-08-02 Xavier Diego , Luciano Marcon , Patrick Müller , James Sharpe

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

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not simulate on a classical Turing machine? In this paper we argue that a QC could solve some relevant physical…

Quantum Physics · Physics 2009-11-10 Rolando Somma , Gerardo Ortiz , Emanuel Knill , James Gubernatis

The Ising model was generalized to a system of cells interacting exclusively by presence of shared spins. Within the cells there are interactions of any complexity, the simplest intracell interactions come down to the Ising model. The…

Statistical Mechanics · Physics 2021-02-23 Vadym Sakhno , Mykola Sakhno

We define a generalization of the Turing machine that computes on general sets. Our main theorem states that the class of generalized Turing machine computable functions and the class of Set Recursive functions coincide.

Logic · Mathematics 2021-03-26 Garvin Melles

Universality in cellular automata theory is a central problem studied and developed from their origins by John von Neumann. In this paper, we present an algorithm where any Turing machine can be converted to one-dimensional cellular…

Cellular Automata and Lattice Gases · Physics 2019-07-10 Sergio J. Martinez , Ivan M. Mendoza , Genaro J. Martinez , Shigeru Ninagawa

The $\textbf{P}$ vs. $\textbf{NP}$ problem is an important problem in contemporary mathematics and theoretical computer science. Many proofs have been proposed to this problem. This paper proposes a theoretic proof for $\textbf{P}$ vs.…

Computational Complexity · Computer Science 2020-07-02 Changlin Wan , Zhongzhi Shi

We propose to implement tunable interfaces for realizing universal quantum computation with topological qubits. One interface is between the topological and superconducting qubits, which can realize arbitrary single-qubit gate on the…

Quantum Physics · Physics 2013-08-21 Zheng-Yuan Xue , L. B. Shao , Yong Hu , Shi-Liang Zhu , Z. D. Wang

This paper proposes a more comprehensive evaluation methodology to measure the usability and user experience qualities of accessible synchronous computer-mediated communication applications. The methodology goes beyond current practices by…

Human-Computer Interaction · Computer Science 2011-02-17 Fernando G. Lobo , Marielba Zacarias , Paulo A. Condado , Teresa Romão , Rui Godinho , Manuel Moreno

A collaborative distributed binary decision problem is considered. Two statisticians are required to declare the correct probability measure of two jointly distributed memoryless process, denoted by $X^n=(X_1,\dots,X_n)$ and…

Information Theory · Computer Science 2016-04-11 Gil Katz , Pablo Piantanida , Merouane Debbah
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