Abstract: |
We introduce a theory of infinite lists in HOL formalized as functions over naturals (folder ListInf, theories ListInf and ListInf_Prefix). It also provides additional results for finite lists (theory ListInf/List2), natural numbers (folder CommonArith, esp. division/modulo, naturals with infinity), sets (folder CommonSet, esp. cutting/truncating sets, traversing sets of naturals).
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BibTeX: |
@article{List-Infinite-AFP,
author = {David Trachtenherz},
title = {Infinite Lists},
journal = {Archive of Formal Proofs},
month = feb,
year = 2011,
note = {\url{http://isa-afp.org/entries/List-Infinite.shtml},
Formal proof development},
ISSN = {2150-914x},
}
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