numericpeano: Peano numbers with attendant bells and whistles.

[ apache, library, math ] [ Propose Tags ]

Value-level lazy Peano numbers for all your proof-theoretic and infinity-related needs. The features are: 1) natural and integral numbers (N and Z); 2) lazy infinities; and 3) instances for all relevant typeclasses, meaning that Peano arithmetic can be used in generic functions without extra hassle. The implementation is naive, meaning that a number of magnitude n may consume O(n) bytes of memory.

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Versions [faq],
Dependencies base (==4.7.*) [details]
License Apache-2.0
Author Janos Tapolczai
Category Math
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Uploaded by jtapolczai at 2014-12-28T18:24:37Z
Distributions NixOS:
Downloads 1460 total (3 in the last 30 days)
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Status Hackage Matrix CI
Docs available [build log]
Last success reported on 2014-12-28 [all 1 reports]




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Peano numbers with the expected bells and whistles. The implementation is naive (the memory footprint of a number n is O(n) bytes).


  • lazy evaluation, i.e. compatibility with infinity,
  • positive as well as negative numbers (N and Z),
  • instances for the usual typeclasses: Enum, Bounded, Num, Integral, etc.