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On Partially Conservative Sentences and Interpretability
Proceedings of the American Mathematical Society
Vol. 91, No. 3 (Jul., 1984), pp. 436-443
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/2045318
Page Count: 8
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A sentence φ is Γ-conservative over T if $T + \varphi \vdash \psi$ implies $T \vdash \psi$ for every ψ ∈ Γ. In $\S1$ this concept for Γ = Σ0 n + 1 and Π0 n + 1 is investigated. In $\S2$ results from $\S1$ are applied to interpretability in theories containing arithmetic.
Proceedings of the American Mathematical Society © 1984 American Mathematical Society