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arXiv 2002.10212cs.LO
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一种基于自组织重载的HOL语义机制

A Mechanised Semantics for HOL with Ad-hoc Overloading

Johannes Åman Pohjola, Arve Gengelbach

摘要:

Isabelle/HOL通过常量定义的特殊重载增强了经典的高阶逻辑,也就是说,一个常量可以有几个非重叠类型的定义。在本文中,我们提出了一个机械化的证明,HOL与ad-hoc重载是一致的。我们所有的结果都在HOL 4定理证明器中得到了形式化。

英文摘要:

Isabelle/HOL augments classical higher-order logic with ad-hoc overloading of constant definitions---that is, one constant may have several definitions for non-overlapping types. In this paper, we present a mechanised proof that HOL with ad-hoc overloading is consistent. All our results have been formalised in the HOL4 theorem prover.

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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