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A Goodstein sequence is a certain class of integer sequences Gk(n) that give rise to a quickly growing function that eventually dominates all recursive functions which are provably total in Peano arithmetic, but is itself provably total in PA + "\(\varepsilon_0\) is well-ordered".

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rdfs:label
  • Goodstein sequence
rdfs:comment
  • A Goodstein sequence is a certain class of integer sequences Gk(n) that give rise to a quickly growing function that eventually dominates all recursive functions which are provably total in Peano arithmetic, but is itself provably total in PA + "\(\varepsilon_0\) is well-ordered".
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dbkwik:googology/p...iPageUsesTemplate
Type
  • Combinatorial
fgh
  • \varepsilon_0
abstract
  • A Goodstein sequence is a certain class of integer sequences Gk(n) that give rise to a quickly growing function that eventually dominates all recursive functions which are provably total in Peano arithmetic, but is itself provably total in PA + "\(\varepsilon_0\) is well-ordered".
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