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downwards_closure_cfl_state_complexity (489B)


      1 # Downwards closure CFL state complexity
      2 
      3 We can construct [automata] recognizing the downwards closure of a [CFL]: cf [bachmeier2014finite].
      4 - As an [NFA], it can be done with an [exponential] set of [states], and there is also an [exponential] [lower_bound].
      5 - As a [DFA], it can be done with a [doubly_exponential] set of [states], and there is also a [doubly_exponential] [lower_bound]
      6 
      7 Up: [downwards_closure_state_complexity], [CFL]
      8 
      9 See also: [upwards_closure_cfl_state_complexity]