Infinite Lists

 

Title: Infinite Lists
Author: David Trachtenherz
Submission date: 2011-02-23
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).
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.html},
            Formal proof development},
  ISSN    = {2150-914x},
}
License: BSD License
Used by: AutoFocus-Stream, Nat-Interval-Logic