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These problems deal with sequences of numbers. Can you spot what the sequences' rules are?

  
Design a sequence S0, S1, ... , S where each Si
   1) is a string of characters from the set
      {φ, "right brace", "left brace", comma} (φ denotes the empty set),
   2) denotes a valid set, and
   3) |Si| = i.

For clarity you can define substrings and use recursion.

Note; Si = {φ,{φ},{φ},φ,{φ,{φ}}} = {φ,{φ},{φ,{φ}}}
                |Si| = 3 not |Si| = 5.

Note: φ = {}. I don't know if this will help.

A possible start: S0 = φ , S1 = {φ} , ...
  
 
(No Solution Yet, 0 Comments) Submitted on 2017-07-30 by Bractals   
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