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Explicit fixed points in interpretability logic
Studia Logica 50 (1):39 - 49 (1991)
Abstract
The problem of Uniqueness and Explicit Definability of Fixed Points for Interpretability Logic is considered. It turns out that Uniqueness is an immediate corollary of a theorem of Smoryski.Author Profiles
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Citations of this work
An Inside View of Exp; or, The Closed Fragment of the Provability Logic of IΔ0+ Ω1 with a Propositional Constant for.Albert Visser - 1992 - Journal of Symbolic Logic 57 (1):131-165.
Modal Matters for Interpretability Logics.Evan Goris & Joost Joosten - 2008 - Logic Journal of the IGPL 16 (4):371-412.
Self provers and Σ1 sentences.Evan Goris & Joost Joosten - 2012 - Logic Journal of the IGPL 20 (1):1-21.
The fixed point and the Craig interpolation properties for sublogics of $$\textbf{IL}$$.Sohei Iwata, Taishi Kurahashi & Yuya Okawa - 2024 - Archive for Mathematical Logic 63 (1):1-37.
References found in this work
The unprovability of consistency: an essay in modal logic.George Boolos - 1979 - New York: Cambridge University Press.
Self-Reference and Modal Logic.George Boolos & C. Smorynski - 1988 - Journal of Symbolic Logic 53 (1):306.
Provability logics for relative interpretability.Frank Veltman & Dick De Jongh - 1990 - In Petio Petrov Petkov (ed.), Mathematical Logic. Proceedings of the Heyting '88 Summer School. New York, NY, USA: pp. 31-42.
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