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- W2787204892 abstract "Postulating an impredicative universe in dependent type theory allows System F style encodings of finitary inductive types, but these fail to satisfy the relevant {eta}-equalities and consequently do not admit dependent eliminators. To recover {eta} and dependent elimination, we present a method to construct refinements of these impredicative encodings, using ideas from homotopy type theory. We then extend our method to construct impredicative encodings of some higher inductive types, such as 1-truncation and the unit circle S1." @default.
- W2787204892 created "2018-02-23" @default.
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- W2787204892 date "2018-02-08" @default.
- W2787204892 modified "2023-09-27" @default.
- W2787204892 title "Impredicative Encodings of (Higher) Inductive Types" @default.
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- W2787204892 doi "https://doi.org/10.48550/arxiv.1802.02820" @default.
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