15317 Constructive Logic
Lecture 6: Natural Numbers
In this lecture we introduce the data type of natural
numbers as a prototype for other kinds of data structures.
The introduction form let us construct natural numbers from
zero and a successor function, the elimination forms
model both proof by induction and function definition
by primitive recursion. The resulting system is called
intuitionistic arithmetic or Heyting arithmetic.
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fp@cs
Frank Pfenning
