Math 2.0

Concept

Büchi arithmetic

Summary

Büchi arithmetic of base k is the first-order theory of the natural numbers with addition and the function Vk(x)V_k(x) which is defined as the largest power of k dividing x, named in honor of the Swiss mathematician Julius Richard Büchi. The signature of Büchi arithmetic contains only the addition operation, VkV_k and equality, omitting the multiplication operation entirely.

Further reading

  1. Wikipedia, page 36262566, revision 1165013864, Büchi arithmetic. adopted
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