Email Gateway (Mar 24 2022 at 07:19): Email Gateway (Mar 24 2022 at 07:19):From: Tobias Nipkow <nipkow@in.tum.de>
Ackermann's Function Is Not Primitive Recursive
Lawrence C. Paulson
Ackermann's function is defined in the usual way and a number of its elementary
properties are proved. Then, the primitive recursive functions are defined
inductively: as a predicate on the functions that map lists of numbers to
numbers. It is shown that every primitive recursive function is strictly
dominated by Ackermann's function. The formalisation follows an earlier one by
Nora Szasz.
https://www.isa-afp.org/entries/Ackermanns_not_PR.html
This formalization was moved to the AFP from the distribution (HOL/Examples/)
Enjoy!
smime.p7s
Last updated: Jan 04 2025 at 20:18 UTC