### 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).

### License

BSD License

### Topics

- Computer science/Data structures

### Session List-Infinite

- Util_Set
- Util_MinMax
- Util_NatInf
- Util_Nat
- Util_Div
- SetInterval2
- SetIntervalCut
- SetIntervalStep
- List2
- InfiniteSet2
- ListInf
- ListInf_Prefix
- ListInfinite

### Used by

- Cardinality and Representation of Stone Relation Algebras
- Interval Temporal Logic on Natural Numbers

## Cite

×

List-Infinite-AFP

    @article{List-Infinite-AFP,
      author  = {David Trachtenherz},
      title   = {Infinite Lists},
      journal = {Archive of Formal Proofs},
      month   = {February},
      year    = {2011},
      note    = {\url{https://isa-afp.org/entries/List-Infinite.html},
                 Formal proof development},
      ISSN    = {2150-914x},
    }

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