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On the proof-theoretic strength of monotone induction in explicit mathematics
Annals of Pure and Applied Logic 85 (1):1-46 (1997)
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Citations of this work
The disjunction and related properties for constructive Zermelo-Fraenkel set theory.Michael Rathjen - 2005 - Journal of Symbolic Logic 70 (4):1233-1254.
A new model construction by making a detour via intuitionistic theories II: Interpretability lower bound of Feferman's explicit mathematics T 0.Kentaro Sato - 2015 - Annals of Pure and Applied Logic 166 (7-8):800-835.
Ordinal diagrams for Π3-reflection.Toshiyasu Arai - 2000 - Journal of Symbolic Logic 65 (3):1375 - 1394.
Polynomial time operations in explicit mathematics.Thomas Strahm - 1997 - Journal of Symbolic Logic 62 (2):575-594.
Intuitionistic fixed point logic.Ulrich Berger & Hideki Tsuiki - 2021 - Annals of Pure and Applied Logic 172 (3):102903.
References found in this work
The strength of some Martin-Löf type theories.Edward Griffor & Michael Rathjen - 1994 - Archive for Mathematical Logic 33 (5):347-385.
A well-ordering proof for Feferman's theoryT 0.Gerhard Jäger - 1983 - Archive for Mathematical Logic 23 (1):65-77.
Monotone inductive definitions in a constructive theory of functions and classes.Shuzo Takahashi - 1989 - Annals of Pure and Applied Logic 42 (3):255-297.
Understanding uniformity in Feferman's explicit mathematics.Thomas Glaß - 1995 - Annals of Pure and Applied Logic 75 (1-2):89-106.
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