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A new coalgebraic Lindstrom theorem

机译:一个新的联合代数Lindstrom定理

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In a recent article, Alexander Kurz and Yde Venema establish a Lindstrom theorem for coalgebraic modal logic that is shown to imply a modal Lindstrom theorem by Maarten de Rijke. A later modal Lindstrom theorem has been established by Johan van Benthem, and this result still lacks a coalgebraic formulation. The main obstacle has so far been the lack of a suitable notion of 'submodels' in coalgebraic semantics, and the problem is left open by Kurz and Venema. In this article, we propose a solution to this problem and derive a general coalgebraic Lindstrom theorem along the lines of van Benthem's result. We provide several applications of the result.
机译:在最近的一篇文章中,亚历山大·库尔兹(Alexander Kurz)和伊德·韦内玛(Yde Venema)为煤代模态逻辑建立了Lindstrom定理,Maarten de Rijke证明了这暗示了模态Lindstrom定理。约翰·范本瑟姆(Johan van Benthem)建立了后来的模态Lindstrom定理,但该结果仍然缺乏连带形式。到目前为止,主要障碍是在合代语义中缺乏合适的“子模型”概念,而Kurz和Venema仍未解决这个问题。在本文中,我们提出了一个解决该问题的方法,并根据范本思姆的结果推导了一个一般的联合代数Lindstrom定理。我们提供了该结果的几种应用。

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