The acceptance condition leading to the notion of Büchi automaton – traversing certain states infinitely many times – is a natural extension of the acceptance of finite words by reaching an accepting state at the end of run. It is by no means the only way to make a distinction between accepting and non-accepting infinite runs.

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Acceptance Conditions

  • Martin Hofmann,
  • Martin Lange

摘要

The acceptance condition leading to the notion of Büchi automaton – traversing certain states infinitely many times – is a natural extension of the acceptance of finite words by reaching an accepting state at the end of run. It is by no means the only way to make a distinction between accepting and non-accepting infinite runs.