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- W3121803535 abstract "The usual homogeneous form of equality type in Martin-Löf Type Theory contains identifications between elements of the same type. By contrast, the heterogeneous form of equality contains identifications between elements of possibly different types. This short note introduces a simple set of axioms for such types. The axioms are shown to be equivalent to the combination of systematic elimination rules for both forms of equality, albeit with typal (also known as “propositional”) computation properties, together with Streicher’s Axiom K, or equivalently, the principle of uniqueness of identity proofs." @default.
- W3121803535 created "2021-02-01" @default.
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- W3121803535 date "2020-04-19" @default.
- W3121803535 modified "2023-10-14" @default.
- W3121803535 title "Typal Heterogeneous Equality Types" @default.
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- W3121803535 doi "https://doi.org/10.1145/3379447" @default.
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