A Unified Formal Description of Arithmetic and Set Theoretical Data Types

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Tarau, Paul;
  • Subject: Computer Science - Symbolic Computation | Computer Science - Logic in Computer Science
    arxiv: Computer Science::Programming Languages | Computer Science::Mathematical Software

We provide a "shared axiomatization" of natural numbers and hereditarily finite sets built around a polymorphic abstraction of bijective base-2 arithmetics. The "axiomatization" is described as a progressive refinement of Haskell type classes with examples of instances ... View more
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