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The Higher-Order Prover Leo-III

机译:高阶箴言leo-iii

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摘要

The automated theorem prover Leo-III for classical higher-order logic with Henkin semantics and choice is presented. Leo-III is based on extensional higher-order paramodulation and accepts every common TPTP dialect (FOF, TFF, THF), including their recent extensions to rank-1 polymorphism (TF1, TH1). In addition, the prover natively supports almost every normal higher-order modal logic. Leo-III cooperates with first-order reasoning tools using translations to many-sorted first-order logic and produces verifiable proof certificates. The prover is evaluated on heterogeneous benchmark sets.
机译:提出了具有Henkin语义和选择的经典高阶逻辑的自动定理序列leo-III。 Leo-III基于延长高阶的调节性,接受每个常见的TPTP方言(FOF,TFF,THF),包括其最近对秩1多态性的延伸(TF1,TH1)。此外,该谚语本身支持几乎每个正常高阶模态逻辑。 Leo-III使用转换为多次排序的一阶逻辑的一阶推理工具合作,并产生可验证证明证书。该箴言在异构基准组上进行评估。

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