Cut elimination for coherent theories in negation normal form

IF 0.4 4区数学 Q4 LOGIC

Archive for Mathematical Logic Pub Date : 2024-01-24 DOI:10.1007/s00153-023-00902-5

Paolo Maffezioli

引用次数: 0

Abstract

We present a cut-free sequent calculus for a class of first-order theories in negation normal form which include coherent and co-coherent theories alike. All structural rules, including cut, are admissible.

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否定正则表达式中相干理论的切分消除

我们为一类否定正则表达式的一阶理论（包括相干理论和共相干理论）提出了一种无剪切序列微积分。包括剪切在内的所有结构规则都是允许的。

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来源期刊

Archive for Mathematical Logic 数学-数学

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期刊介绍： The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.