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The logic of π1-conservativity

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-1-4613-0609-2_3openalex-snapshot
Provability Logics for Relative Interpretability
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Self-Reference and Modal Logic
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Provability interpretations of modal logic
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Rosser sentences
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Fragments of arithmetic
inferredcites →https://doi.org/10.1090/s0002-9947-1979-0539907-7openalex-snapshot
Partially Conservative Extensions of Arithmetic
inferredcites →https://doi.org/10.2307/2273663openalex-snapshot
Modal analysis of generalized rosser sentences
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C. Smoryński. Self-reference and modal logic. Universitext. Springer-Verlag, New York, Berlin, etc., 1985, xii + 333 pp.
inferredcites →https://doi.org/10.2307/2274474openalex-snapshot
The interpretability logic of Peano arithmetic
inferredcites →https://doi.org/10.2307/2274871openalex-snapshot
On recursion theory in IΣ1

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Modal completeness of sublogics of the interpretability logic IL
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The formalization of Interpretability
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The logic ofII 1-conservativity continued
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Possibilistic logic as interpretability logic
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Franco Montagna (1948–2015)
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Franco Montagna’s Work on Provability Logic and Many-valued Logic
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Provability and Interpretability Logics with Restricted Realizations
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A Simple Proof of Arithmetical Completeness for $\Pi_1$-Conservativity Logic
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Interpolation and the Interpretability Logic of PA
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A sequent system for the interpretability logic with the persistence axiom
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An inside view of EXP; or, The closed fragment of the provability logic of IΔ0 + Ω1 with a prepositional constant for EXP
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Modal completeness of sublogics of the interpretability logic $\mathbf{IL}$
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Provability and interpretability logics with restricted realizations
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An overview of Generalised Veltman Semantics
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