带单位的简单乘法证明网
Simple multiplicative proof nets with units
摘要:
本文提出了一种简单的带单位乘法线性逻辑证明网的概念。削减消除是直接的和强烈的归一化,与以前的方法,采取移动跳跃(附件)的标准杆单位在归一化。证明网范畴中的复合只是路径复合:所有的动力学都发生在GoI(Setp)中,GoI(Setp)是应用于集合和部分函数的集范畴范畴的相互作用几何结构。
英文摘要:
This paper presents a simple notion of proof net for multiplicative linear logic with units. Cut elimination is direct and strongly normalising, in contrast to previous approaches which resorted to moving jumps (attachments) of par units during normalisation. Composition in the resulting category of proof nets is simply path composition: all of the dynamics happens in GoI(Setp), the geometry-of-interaction construction applied to the category of sets and partial functions.
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