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regular_language (988B)


      1 # Regular language
      2 
      3 ## [computational_problem]
      4 
      5 - [regular_language_membership]
      6   - [approximate_membership]
      7   - [dynamic_membership]
      8 - [sliding_window]
      9 - [regular_language_communication_complexity]
     10 
     11 ## [regular_language_list]
     12 
     13 - [parity]
     14 
     15 ## [regular_language_family]
     16 
     17 - [locally_testable_language]
     18 - [regular_language_sparse]: polynomial number of words per length
     19   - [regular_language_slender]: constant number of words
     20     - [regular_language_thin]: at most one word
     21 
     22 ## Connections
     23 
     24 - [regular_language_communication_complexity]
     25 
     26 ## Generalizations
     27 
     28 - [regular_tree_language]
     29 
     30 ## Concepts
     31 
     32 - [star_height]
     33   - arbitrarily large
     34   - connection to [cycle_rank] of [automata] via [eggans_theorem]
     35 - [generalized_star_height] en ajoutant [complementation]
     36   - generalized star height of zero is [star_free_language]
     37 
     38 ## Results
     39 
     40 - [myhill_nerode_theorem]
     41   - [myhill_nerode_relation]
     42 - [pumping_lemma]
     43 
     44 See also: [automata]
     45 
     46 Up: [formal_language], [regular]
     47 
     48 Aliases: regular languages