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Specification string2nat
enrich
   string2list, 
   nat-pot

with
   

   
   
   functions  n→s : nat → string;
              s→n : string → nat;
   
   
   
   
   

   

   axioms n2s-char :  ⊦ n < 10 → n→s(n) = ('0' + '1' + '2' + '3' + '4' + '5' + '6' + '7' + ('8' + '9'))[n] + "";
          n2s-rec :  ⊦ 10 ≤ n → n→s(n) = n→s(n / 10) + n→s(n % 10);
          used for: ls;
          s2n-char :  ⊦ s→n(char ') = pos(char, '0' + '1' + '2' + '3' + '4' + '5' + '6' + '7' + ('8' + '9'));
          s2n-rec :  ⊦ s→n(char ' + char0 ' + str) = s→n(char ') * 10 ^ (# str)+1 + s→n(char0 ' + str);
          used for: ls;

   

   
end enrich