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Some uses of dilators in combinatorial problems. III: Independence results by means of decreasing F-sequences (F weakly finite dilator)

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Publication:913788
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DOI10.1007/BF01620619zbMath0701.03028OpenAlexW2166839723MaRDI QIDQ913788

V. Michele Abrusci

Publication date: 1989

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01620619


zbMATH Keywords

\(\Pi ^ 1_ 2\)-logiccombinatorial theoremdecreasing F-sequencesstrictly mathematical statements about natural numbersVeblen hierarchyweakly finite dilator


Mathematics Subject Classification ID

First-order arithmetic and fragments (03F30) Recursive ordinals and ordinal notations (03F15)


Related Items (2)

Rekursion über Dilatoren und die Bachmann-Hierarchie. (Recursion over dilators and the Bachmann hierarchy) ⋮ Goodstein sequences for prominent ordinals up to the Bachmann-Howard ordinal



Cites Work

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  • Functors and ordinal notations. I: A functorial construction of the veblen hierarchy
  • Π12-logic, Part 1: Dilators
  • Accessible Independence Results for Peano Arithmetic


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