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Church–Turing thesis

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Summary

The methodological thesis that every effectively calculable function is computable by a Turing machine, equivalently by other standard models of computation.

Record metadata

Carrier(s)

Data

Canonically induces

Notes

This is a thesis identifying an informal notion with a formal class, not a theorem proved from purely formal premises.

Concept sources

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AlgorithmChurch–Turing thesis

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

Authored explanation

Attempts to characterize the informal notion of an effective algorithm led to mutually equivalent formal models and the Church–Turing thesis.

How to interpret this relation type

The source experiment, observation, anomaly, or problem materially motivated the development, revision, or acceptance of the target concept. Historical influence is not logical derivation; the edge detail states the documented role and avoids retrospective origin myths.

Relation sources

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

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