Unary Prime Languages

  title={Unary Prime Languages},
  author={Isma{\"e}l Jecker and Orna Kupferman and Nicolas Mazzocchi},
11 A regular language L of finite words is composite if there are regular languages L1, L2, . . . , Lt such 12 that L = ⋂t i=1 Li and the index (number of states in a minimal DFA) of every language Li is strictly 13 smaller than the index of L. Otherwise, L is prime. Primality of regular languages was introduced 14 and studied in [9], where the complexity of deciding the primality of the language of a given DFA 15 was left open, with a doubly-exponential gap between the upper and lower bounds… 
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