Abstract: |
In this formalization, we develop an implementation of the Goodstein
function G in plain λ-calculus, linked to a concise, self-contained
specification. The implementation works on a Church-encoded
representation of countable ordinals. The initial conversion to
hereditary base 2 is not covered, but the material is sufficient to
compute the particular value G(16), and easily extends to other fixed
arguments. |
BibTeX: |
@article{Goodstein_Lambda-AFP,
author = {Bertram Felgenhauer},
title = {Implementing the Goodstein Function in λ-Calculus},
journal = {Archive of Formal Proofs},
month = feb,
year = 2020,
note = {\url{https://isa-afp.org/entries/Goodstein_Lambda.html},
Formal proof development},
ISSN = {2150-914x},
}
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