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• W1722041408 abstract "Data types like trees which are finitely branching and of (possibly) infinite depth are described by iterating initial algebras and terminal coalgebras. We study proof principles for such data types in the context of categorical logic, following and extending the approach of [14, 15]. The technical contribution of this paper involves a description of initial algebras and terminal coalgebras in total categories of fibrations for lifted “datafunctors”. These lifted functors are used to formulate our proof principles. We test these principles by proving some elementary results for four kinds of trees (with finite or infinite breadth or depth) using the proof tool Pvs." @default.
• W1722041408 created "2016-06-24" @default.
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• W1722041408 date "1997-01-01" @default.
• W1722041408 modified "2023-10-18" @default.
• W1722041408 title "Proof principles for datatypes with iterated recursion" @default.
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• W1722041408 doi "https://doi.org/10.1007/bfb0026991" @default.
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