Asymptotic Monadic Second-Order Logic

  title={Asymptotic Monadic Second-Order Logic},
  author={Achim Blumensath and Olivier Carton and Thomas Colcombet},
In this paper we introduce so-called asymptotic logics, logics that are meant to reason about weights of elements in a model in a way inspired by topology. Our main subject of study is Asymptotic Monadic Second-Order Logic over infinite words. This is a logic talking about ωwords labelled by integers. It contains full monadic second-order logic and can express asymptotic properties of integers labellings. We also introduce several variants of this logic and investigate their relationship to the… CONTINUE READING

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