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Counter machine

A counter machine or counter automaton is an abstract machine used in a formal logic and theoretical computer science to model computation. It is the most primitive of the four types of register machines. A counter machine comprises a set of one or more unbounded registers, each of which can hold a single non-negative integer, and a list of (usually…

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Two-counter machines are Turing equivalent (with a caveat)

StackBinary numberRemainderOdd numberInteger
11 related topics

The partial recursive functions: building "convenience instructions" using recursion

Primitive recursive functionTuring equivalenceΜ operatorRecursive functionsConstant function
10 related topics

Alternative names, alternative models

Marvin MinskyComputerPeano axiomsPointer machineGödel number
6 related topics

Formal definition

Random-access machineHarvard architectureFinite-state machineComputer programsRegister-machine models
5 related topics

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Overview

Basic features

Alternative names, alternative models

Formal definition

The partial recursive functions: building "convenience instructions" using recursion

Two-counter machines are Turing equivalent (with a caveat)

A practical example of calculation by counting

Bibliography

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Counter machine

Nodes97
Edges96
Triples334
Avg. degree1.98
Density0.020619
Components1

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Counter machine

Top relations

related to Bibliography · 239
Counter machine → Abacus, Abacus Computability, Abraham, ACM, Addison-Wesley, Albert, Algorithms, Allen, Amsterdam, An, Annals, Appendix, Appendix II, Applied Mathematics, Approach, April, Arithmetical Approach, Arnold, Arthur, Artificial Intelligence Memo
related to Alternative names, alternative models · 49
Counter machine → Abacus, Boolos, Burgess, CLR, CPY, DEC, DECrement, DIV, Elgot, Gödel, In, INC, Iz, JE, Jeffrey, JNZ, Jump, JZ, JZDEC, Lambek
related to Basic features · 20
Counter machine → CLeaR, CLR, CoPY, CPY, DEC, DECrement, ELSE, Equals, For, IF, INC, INCrement, JE, JZ, Most, Set, The, THEN Jump, Three, Zero THEN Jump
related to Formal definition · 10
Counter machine → Each, Harvard, Historically, I0, Im, Labeled, See Random-access, The, This, Usually
related to The caveat: *If* its counters are initialised to N and 0, then a 2CM cannot calculate 2N · 7
Counter machine → Gödelization, Minsky, N2, Schroeppel, The, This, Turing

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Important terminology

machine counter register two machines one set turing counters instructions model doi recursive instruction registers program 10 function used zero

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
ADDinstance ofAnd in fact the following is summary of how the primitive recursive functions0.80text
MULtiplyinstance ofAnd in fact the following is summary of how the primitive recursive functions0.80text
EXPonent can come about.Beginning instruction setinstance ofAnd in fact the following is summary of how the primitive recursive functions0.80text
the random-access machineinstance ofeven for functions that are relatively easy to define in more complex register machines0.80text
c is equal to zeroinstance ofTo check if a virtual counter0.80text
just divide the real counter by 5instance ofTo check if a virtual counter0.80text
see what the remainder isinstance ofTo check if a virtual counter0.80text
then multiply by 5instance ofTo check if a virtual counter0.80text
add back the remainderinstance ofTo check if a virtual counter0.80text
Counter machinerelated to Alternative names, alternative modelsThe0.60section
Counter machinerelated to Alternative names, alternative modelsIn0.60section
Counter machinerelated to Alternative names, alternative modelsJZDEC0.60section

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