Implications-as-Rules vs. Implications-as-Links: An Alternative Implication-Left Schema for the Sequent Calculus

Implications-as-Rules vs. Implications-as-Links: An Alternative Implication-Left Schema for the Sequent Calculus
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蕴涵作为规则与蕴涵作为链接:后续微积分的另一种蕴涵左模式

DOI:
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发表时间:
2011
影响因子:
1.5
通讯作者:
P. Schroeder
P. Schroeder
中科院分区:
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文献类型:
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作者:
P. Schroeder

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将蕴涵解释为规则激发了一种不同的左引入蕴涵图式,它在概念上比根岑提出的左蕴涵图式更基本。对应于系统的高层次规则的结果,它享有的子公式性质和削减消除在一个弱的形式。
The interpretation of implications as rules motivates a different left-introduction schema for implication in the sequent calculus, which is conceptually more basic than the implication-left schema proposed by Gentzen. Corresponding to results obtained for systems with higher-level rules, it enjoys the subformula property and cut elimination in a weak form.