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The proof-theoretic analysis of transfinitely iterated fixed point theories
Journal of Symbolic Logic 64 (1):53-67 (1999)
Abstract
This article provides the proof-theoretic analysis of the transfinitely iterated fixed point theories $\widehat{ID}_\alpha and \widehat{ID}_{ the exact proof-theoretic ordinals of these systems are presentedAuthor's Profile
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Citations of this work
Classes and truths in set theory.Kentaro Fujimoto - 2012 - Annals of Pure and Applied Logic 163 (11):1484-1523.
Bounded inductive dichotomy: separation of open and clopen determinacies with finite alternatives in constructive contexts.Kentaro Sato - 2022 - Archive for Mathematical Logic 61 (3):399-435.
Elementary inductive dichotomy: Separation of open and clopen determinacies with infinite alternatives.Kentaro Sato - 2020 - Annals of Pure and Applied Logic 171 (3):102754.
Universes in explicit mathematics.Gerhard Jäger, Reinhard Kahle & Thomas Studer - 2001 - Annals of Pure and Applied Logic 109 (3):141-162.
Fixed point theories and dependent choice.Gerhard Jäger & Thomas Strahm - 2000 - Archive for Mathematical Logic 39 (7):493-508.
References found in this work
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Zeitshrift für Mathematische Logik Und Grundlagen der Mathematik 35 (1):97--130.
Notes on Formal Theories of Truth.Andrea Cantini - 1989 - Mathematical Logic Quarterly 35 (2):97-130.
Ρ-inaccessible ordinals, collapsing functions and a recursive notation system.Gerhard Jäger - 1984 - Archive for Mathematical Logic 24 (1):49-62.
The [mathematical formula] quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals.Markus Marzetta & Thomas Strahm - 1997 - Archive for Mathematical Logic 36 (6):391-413.
The \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document} $\mu$\end{document} quantification operator in explicit mathematics with universes and iterated fixed point theories with ordinals. [REVIEW]Markus Marzetta & Thomas Strahm - 1998 - Archive for Mathematical Logic 37 (5-6):391-413.
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