The present contribution shows that a Hilbert-style axiomatization for dynamic logic of relation changers is complete for the standard Kripke semantics not by a well-known rewriting technique but by the idea of an auxiliary semantics studied by van Benthem and Wang et al. A key insight of our auxiliary semantics for dynamic logic of relation changers can be described as: “relation changers are bounded morphisms.” Moreover, we demonstrate that this semantic insight can be used to provide a modular cut-free labelled sequent calculus for the logic in the sense that our calculus can be regarded as a natural expansion of a labelled sequent calculus of iteration-free propositional dynamic logic.

中文翻译：

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通过有界形态重新捕获关系改变者的动态逻辑

目前的贡献表明，对于标准 Kripke 语义，关系变换器的动态逻辑的希尔伯特式公理化是完整的，不是通过众所周知的重写技术，而是通过 van Benthem 和 Wang 等人研究的辅助语义的思想。我们对关系变换器动态逻辑的辅助语义的一个关键见解可以描述为：“关系变换器是有界态射。” 此外，我们证明了这种语义洞察可用于为逻辑提供模块化的无切割标记顺序演算，因为我们的演算可以被视为无迭代命题动态逻辑的标记顺序演算的自然扩展。