Isabelle is a generic theorem prover with a fragment of higher-order logic as a metalogic for defining object logics. Isabelle also provides proof terms. We formalize this metalogic and the language of proof terms in Isabelle/HOL, define an executable (but inefficient) proof term checker and prove its correctness w.r.t. the metalogic. We integrate the proof checker with Isabelle and run it on a range of logics and theories to check the correctness of all the proofs in those theories.

中文翻译：

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Isabelle 元逻辑的形式化和证明检查器

Isabelle 是一个通用的定理证明器，带有一段高阶逻辑作为定义对象逻辑的元逻辑。Isabelle 还提供证明条款。我们在 Isabelle/HOL 中形式化了这个元逻辑和证明术语的语言，定义了一个可执行的（但效率低下的）证明术语检查器并证明了它与元逻辑的正确性。我们将证明检查器与 Isabelle 集成在一起，并在一系列逻辑和理论上运行它，以检查这些理论中所有证明的正确性。