This title’s chapter may seem paradoxical in the context of Chapter 5 where is was shown that deterministic Büchi automata are strictly weaker than nondeterministic ones. In particular, the language (a+b)*aω cannot be recognised by a DBA, cf. Thm. 5.24. Thus, there is no determinisation procedure for NBA, at least none that yields equivalent DBA.

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Determinisation

  • Martin Hofmann,
  • Martin Lange

摘要

This title’s chapter may seem paradoxical in the context of Chapter 5 where is was shown that deterministic Büchi automata are strictly weaker than nondeterministic ones. In particular, the language (a+b)*aω cannot be recognised by a DBA, cf. Thm. 5.24. Thus, there is no determinisation procedure for NBA, at least none that yields equivalent DBA.