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Tape diagrams provide a convenient graphical notation for arrows of rig categories, i.e., categories equipped with two monoidal products, \(\oplus \) and \(\otimes \) . In this work, we introduce Kleene-Cartesian rig categories, namely rig categories where \(\otimes \) provides a Cartesian bicategory, while \(\oplus \) a Kleene bicategory.We show that the associated tape diagrams can conveniently deal with Hoare logic.

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A Diagrammatic Algebra for Program Logics

  • 会议论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

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  • Filippo Bonchi,
  • Alessandro Di Giorgio,
  • Elena Di Lavore

摘要

Tape diagrams provide a convenient graphical notation for arrows of rig categories, i.e., categories equipped with two monoidal products, \(\oplus \) and \(\otimes \) . In this work, we introduce Kleene-Cartesian rig categories, namely rig categories where \(\otimes \) provides a Cartesian bicategory, while \(\oplus \) a Kleene bicategory.We show that the associated tape diagrams can conveniently deal with Hoare logic.