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1990 | OriginalPaper | Buchkapitel

Provability Logics for Relative Interpretability

verfasst von : Dick de Jongh, Frank Veltman

Erschienen in: Mathematical Logic

Verlag: Springer US

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In this paper the system IL for relative interpretability described in Visser (1988) is studied.1 In IL formulae A ⊳ B (read: A interprets B) are added to the provability logic L. The intended interpretation of a formula A ⊳ B in an (arithmetical) theory T is: T + B is relatively interpretable in T + A. The system has been shown to be sound with respect to such arithmetical interpretations (Švejdar 1983, Montagna 1984, Visser 1986, 1988P).

Metadaten
Titel
Provability Logics for Relative Interpretability
verfasst von
Dick de Jongh
Frank Veltman
Copyright-Jahr
1990
Verlag
Springer US
DOI
https://doi.org/10.1007/978-1-4613-0609-2_3