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- W1567227904 abstract "In this paper we present the Coq formalisation of the QArith library which is an implementation of rational numbers as binary sequences for both lazy and strict computation. We use the representation also known as the Stern-Brocot representation for rational numbers. This formalisation uses advanced machinery of the Coq theorem prover and applies recent developments in formalising general recursive functions. This formalisation highlights the rôle of type theory both as a tool to verify hand-written programs and as a tool to generate verified programs.KeywordsRational NumberType TheoryProof ObligationHigh Order LogicSign AlgorithmThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
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- W1567227904 date "2004-01-01" @default.
- W1567227904 modified "2023-10-06" @default.
- W1567227904 title "QArith: Coq Formalisation of Lazy Rational Arithmetic" @default.
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- W1567227904 doi "https://doi.org/10.1007/978-3-540-24849-1_20" @default.
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