Provability Logics for Relative Interpretability

Dick de Jongh and Frank Veltman
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Dick de Jongh: University of Amsterdam, Department of Mathematics and Computer Science
Frank Veltman: University of Amsterdam, Department of Philosophy

A chapter in Mathematical Logic, 1990, pp 31-42 from Springer

Abstract: Abstract 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).

Keywords: Modal Logic; Finite Sequence; Modal Completeness; Intended Interpretation; Consistent Subset (search for similar items in EconPapers)
Date: 1990
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0609-2_3

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DOI: 10.1007/978-1-4613-0609-2_3

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