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- W1571309311 abstract "In Type Theory, definition by dependently-typed case analysis can be expressed by means of a set of equations — the semantic approach — or by an explicit pattern-matching construction — the syntactic approach. We aim at putting together the best of both approaches by extending the pattern-matching construction found in the Coq proof assistant in order to obtain the expressivity and flexibility of equation-based case analysis while remaining in a syntax-based setting, thus making dependently-typed programming more tractable in the Coq system. We provide a new rule that permits the omission of impossible cases, handles the propagation of inversion constraints, and allows to derive Streicher’s K axiom. We show that subject reduction holds, and sketch a proof of relative consistency." @default.
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- W1571309311 date "2009-01-01" @default.
- W1571309311 modified "2023-09-26" @default.
- W1571309311 title "A New Elimination Rule for the Calculus of Inductive Constructions" @default.
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- W1571309311 doi "https://doi.org/10.1007/978-3-642-02444-3_3" @default.
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