超序列与规则系统:嵌入与应用
Hypersequents and Systems of Rules: Embeddings and Applications
摘要:
我们定义了一个双向嵌入hypereclipse演算和一个子类的系统的规则(2-系统)。除了表明这两个证明框架具有相同的表达能力,嵌入允许恢复2-系统的局部性的好处,一个大类这样的系统的分析结果,以及重写hyperprinciple规则作为自然演绎规则。
英文摘要:
We define a bi-directional embedding between hypersequent calculi and a subclass of systems of rules (2-systems). In addition to showing that the two proof frameworks have the same expressive power, the embedding allows for the recovery of the benefits of locality for 2-systems, analyticity results for a large class of such systems, and a rewriting of hypersequent rules as natural deduction rules.
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