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arXiv 1804.01432math.LO
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基于非良基证明的弱模态Grzegorczyk逻辑的割消除

Cut Elimination for Weak Modal Grzegorczyk Logic via Non-Well-Founded Proofs

Yury Savateev, Daniyar Shamkanov

摘要:

我们提出了一个弱Grzegorczyk逻辑Go允许非良基证明和切消定理,它通过构造一个连续的切消映射作用于这些证明。

英文摘要:

We present a sequent calculus for the weak Grzegorczyk logic Go allowing non-well-founded proofs and obtain the cut-elimination theorem for it by constructing a continuous cut-elimination mapping acting on these proofs.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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