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A natural fragment of Monadic Second-Order Logic is First-Order Logic (FO), consisting of all MSO formulas that do not use second-order quantification over monadic predicates. Only first-order quantification over positions in a word is allowed. This chapter takes a closer look at FO over finite words, with a focus on two aspects.

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  • 发表日期：

    2025年

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  • Martin Hofmann,
  • Martin Lange

摘要

A natural fragment of Monadic Second-Order Logic is First-Order Logic (FO), consisting of all MSO formulas that do not use second-order quantification over monadic predicates. Only first-order quantification over positions in a word is allowed. This chapter takes a closer look at FO over finite words, with a focus on two aspects.