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• W4377965362 abstract "Abstract The Isabelle Higher-order Tarski–Grothendieck object logic includes in its foundations both higher-order logic and set theory, which allows importing the libraries of Isabelle/HOL and Isabelle/Mizar. The two libraries, however, define all the basic concepts independently, which means that the results in the two are disconnected. In this paper, we align significant parts of these two libraries, by defining isomorphisms between their concepts, including the real numbers and algebraic structures. The isomorphisms allow us to transport theorems between the foundations and use the results from the libraries simultaneously." @default.
• W4377965362 created "2023-05-25" @default.
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• W4377965362 date "2023-05-25" @default.
• W4377965362 modified "2023-10-12" @default.
• W4377965362 title "Combining Higher-Order Logic with Set Theory Formalizations" @default.
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• W4377965362 doi "https://doi.org/10.1007/s10817-023-09663-5" @default.
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