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bathie2021property (646B)


      1 # bathie2021property
      2 
      3 by [gabriel] and [tatiana_starikovskaya]
      4 
      5 - Shows that there is a "hard" [regular_language] for which [property_testing_formal_language] requires Omega(log(1/ε)/ε)
      6 - There are "easy" [regular_languages] needing Theta(1/ε) queries
      7   - e.g., a^*
      8 - There are "trivial" [regular_languages] where 0 queries are needed for large enough n
      9   - any sufficiently long [word] cannot be [epsilon_far] from the [formal_language] 
     10 
     11 Uses the notion of [blocking_factor]: they sample random [factors] and check if they are [blocking_factors]
     12 
     13 Follow-up: [bathie2025trichotomy]
     14 
     15 Up: [academic_paper] on [property_testing_formal_language]