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regular_language (1096B)


      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 - [formal_language_monomial]
     22 
     23 ## Connections
     24 
     25 - [regular_language_communication_complexity]
     26 
     27 ## Generalizations
     28 
     29 - [regular_tree_language]
     30 
     31 ## Concepts
     32 
     33 - [star_height]
     34   - arbitrarily large
     35   - connection to [cycle_rank] of [automata] via [eggans_theorem]
     36 - [generalized_star_height] en ajoutant [complementation]
     37   - generalized star height of zero is [star_free_language]
     38 - [state_complexity]
     39 - [syntactic_complexity]
     40 
     41 ## Results
     42 
     43 - [myhill_nerode_theorem]
     44   - [myhill_nerode_relation]
     45 - [pumping_lemma]
     46 - [regular_language_dichotomies]
     47 
     48 See also: [automata]
     49 
     50 Up: [formal_language], [regular]
     51 
     52 Aliases: regular languages