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Universal Turing machine

In computer science, a universal Turing machine (UTM) is a Turing machine capable of computing any computable sequence, as described by Alan Turing in his seminal paper "On Computable Numbers, with an Application to the Entscheidungsproblem". Or, in other words, a Turing machine that is capable of simulating any other specialized Turing machines.

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Overview

Introduction

Mathematical theory

Efficiency

Smallest machines

Machines with no internal states

Example of coding

Original paper and correction

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Universal Turing machine

Nodes52
Edges51
Triples62
Avg. degree1.96
Density0.038462
Components1

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Universal Turing machine

Top relations

related to Efficiency · 17
Universal Turing machine → Additionally, CN, Consequently, Donald Knuth's Big, Effectively, Gödel, Hennie, It, M's, Mα, Similarly, Starting, Stearns, The, This, Turing, Without
related to Smallest machines · 11
Universal Turing machine → Claude Shannon, He, If, Marvin Minsky, Other, Rogozhin's, Turing, UTM, UTMs, When Alan Turing, Yurii Rogozhin
related to Machines with no internal states · 10
Universal Turing machine → Also, Consider, Extending, For, If, It, Post, The, Thus, Turing
related to Mathematical theory · 9
Universal Turing machine → According, Church, For, Halting, Most, Rice's, Turing, Turing's, With
related to External links · 7
Universal Turing machine → Alvy Ray, Business Card Universal Turing, January, Machine, PDF, Retrieved, Smith
is a · 1
Universal Turing machine → universal function

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Important terminology

turing machine universal states number machines symbols example computer table utm possible computing also turing's first function tape used computation

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Universal Turing machineis auniversal function0.90text
0instance ofConsider a tape0.80text
1instance ofConsider a tape0.80text
2instance ofConsider a tape0.80text
2Ainstance ofConsider a tape0.80text
1 where a 3-headed Turing machine is situated over the tripleinstance ofConsider a tape0.80text
110.Alsoinstance ofa colour can be encoded in a vertical triple pattern0.80text
if the distance between the two heads is variableinstance ofa colour can be encoded in a vertical triple pattern0.80text
Universal Turing machinerelated to EfficiencyWithout0.60section
Universal Turing machinerelated to EfficiencyTuring0.60section
Universal Turing machinerelated to EfficiencyThe0.60section
Universal Turing machinerelated to EfficiencyThis0.60section

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