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automata_bideterministic (477B)


      1 # Automata bideterministic
      2 
      3 [automata] which are [deterministic] and where the [automata_reversal] is also [deterministic]
      4 - in particular exactly one [initial_state] and [final_state]
      5 
      6 Characterization: a [formal_language] is recognized by a bideterministic automaton iff the [minimal_automaton] of the language is reversible and has a unique [final_state] ([pin1992reversible] proposition 2.1)
      7 
      8 Generalization: [automata_reversible] [pin1992reversible]
      9 
     10 Up: [word_automaton]