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We provide a generalisation of Kripke semantics for Monadic first-order Basic Logic of Chains ( \(\textbf{MBLC}\) ) of Petr Hájek and prove its soundness and completeness with respect to our semantics. This paper extends the insights of [10] from \({\textbf {BL}}\) to the case of \(\textbf{MBLC}\) .

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A Kripke Semantics for Monadic BL Chains

  • 会议论文

  • 发表日期：

    2026年

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  • Andrew Lewis-Smith,
  • Zhiguang Zhao

摘要

We provide a generalisation of Kripke semantics for Monadic first-order Basic Logic of Chains ( \(\textbf{MBLC}\) ) of Petr Hájek and prove its soundness and completeness with respect to our semantics. This paper extends the insights of [10] from \({\textbf {BL}}\) to the case of \(\textbf{MBLC}\) .