The problem of whether a certain set of number-theoretic functions - defined via tetration (i.e. iterated exponentiation) - is well-ordered by the majorisation relation, was posed by Skolem in 1956. We prove here that indeed it is a computable well-order, and give a lower bound τ0 on its ordinal. © 2009 Springer Berlin Heidelberg.
CITATION STYLE
Barra, M., & Gerhardy, P. (2009). Skolem + Tetration is well-ordered. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 5635 LNCS, pp. 11–20). https://doi.org/10.1007/978-3-642-03073-4_2
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