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Beth definability

In mathematical logic, the Beth definability theorem is a fundamental result in logic that states a property implicitly defined by a first-order theory has an explicit definition within that theory. This means that if a new symbol or property is uniquely determined across all models of a theory, there must be a formula using only the existing symbols of…

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TheoryLanguageFormulaModelsReduct
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Mathematical logic
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Beth definability

Nodes13
Edges12
Triples0
Avg. degree1.85
Density0.153846
Components1

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theory models logic theorem property definability first-order explicit formula implicitly mathematical beth result states equivalence implicit language equivalent l' modulo

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