dbo:abstract
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- In model theory, interpretation of a structure M in another structure N (typically of a different signature) is a technical notion that approximates the idea of representing M inside N. For example every reduct or definitional expansion of a structure N has an interpretation in N. Many model-theoretic properties are preserved under interpretability. For example if the theory of N is stable and M is interpretable in N, then the theory of M is also stable. Note that in other areas of mathematical logic, the term "interpretation" may refer to a structure, rather than being used in the sense defined here. These two notions of "interpretation" are related but nevertheless distinct. (en)
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- 7027 (xsd:nonNegativeInteger)
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- November 2022 (en)
- March 2019 (en)
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dbp:reason
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- "Parameter" has a specific meaning in mathematical logic, correct? If so, a link to an article explaining the specific meaning of "parameter" in the context of mathematical logic would be helpful to beginners. (en)
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rdfs:comment
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- In model theory, interpretation of a structure M in another structure N (typically of a different signature) is a technical notion that approximates the idea of representing M inside N. For example every reduct or definitional expansion of a structure N has an interpretation in N. Many model-theoretic properties are preserved under interpretability. For example if the theory of N is stable and M is interpretable in N, then the theory of M is also stable. (en)
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- Interpretation (model theory) (en)
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