论文标题
部分可观测时空混沌系统的无模型预测
A van Benthem Theorem for Atomic and Molecular Logics
论文作者
论文摘要
在回顾了原子和分子逻辑的定义之后，我们展示了如何从任何这些逻辑中的连接剂的真实条件下自动定义双分解的概念。然后，我们证明了分子逻辑的van Benthem模态定理的概括。我们的分子连接剂应均匀，并包含所有结合和析取。我们使用模态逻辑，兰贝克微积分和模态直觉逻辑作为案例研究，并特别将我们的工作与Olkhovikov的作品进行了比较。
After recalling the definitions of atomic and molecular logics, we show how notions of bisimulation can be automatically defined from the truth conditions of the connectives of any of these logics. Then, we prove a generalization of van Benthem modal characterization theorem for molecular logics. Our molecular connectives should be uniform and contain all conjunctions and disjunctions. We use modal logic, the Lambek calculus and modal intuitionistic logic as case study and compare in particular our work with Olkhovikov's work.
