We could represent Peano numbers by lists.
; Represent Peano number by a list of n pairs (define (number->peano n) (if (zero? n) '() (cons '() (number->peano (1- n))) ) ); Change a Peano list to a number (define (peano->number lst) (length lst))
; append adds Peano lists (define (peano+ x y) (append x y))
; Add integers using Peano arithmetic (define (p+ x y) (peano->number (peano+ (number->peano x) (number->peano y)) ) )
> (number->peano 4) (() () () ())> (p+ 3 4) 7
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