A multiplication operation for the hierarchy of norms

Authors
Publication date 07-2018
Journal Annals of Pure and Applied Logic
Volume | Issue number 169 | 7
Pages (from-to) 656-673
Organisations
  • Interfacultary Research - Institute for Logic, Language and Computation (ILLC)
Abstract Assuming AD+DC , the hierarchy of norms is a wellordered structure of equivalence classes of ordinal-valued maps. We define operations on the hierarchy of norms, in particular an operation that dominates multiplication as an operation on the ranks of norms, and use these operations to establish a considerably improved lower bound for the length of the hierarchy of norms.
Document type Article
Language English
Published at https://doi.org/10.1016/j.apal.2018.03.003
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