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Turing machine

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Summary

A finite-state abstract machine with a read-write tape and transition rules, used to define effective computation.

Record metadata

Carrier(s)

Data

Canonically induces

Concept sources

Incoming relations (arrows to this concept)

Each relation below ends at this concept.

AlgorithmTuring machine

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A Turing machine is one precise mathematical model of a finitely specified mechanical procedure; identifying it with the full informal notion of algorithm invokes the Church–Turing thesis.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

  • Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID turing-computable-numbers

Outgoing relations (arrows from this concept)

Each relation below starts at this concept.

Turing machineComputable function

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

Each deterministic Turing machine induces a partial function by its input-output behavior; machines that halt on every input compute total functions.

How to interpret this relation type

Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.

Relation sources

  • Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID turing-computable-numbers

Turing machineComputably enumerable set

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A Turing machine determines a computably enumerable set by accepting exactly its members, equivalently by enumerating them.

How to interpret this relation type

Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.

Relation sources

  • Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID turing-computable-numbers

Turing machineUniversal Turing machine

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

A universal machine interprets encoded machines and their inputs.

How to interpret this relation type

A more specific theory, model, entity class, or regime is obtained by restricting or extending the scope of a broader framework.

Relation sources

  • Turing — On Computable Numbers — On Computable Numbers, with an Application to the Entscheidungsproblem · original research paper · source ID turing-computable-numbers