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Published in:
2009 | OriginalPaper | Chapter
Some Domain Theory and Denotational Semantics in Coq
Authors : Nick Benton, Andrew Kennedy, Carsten Varming
Published in: Theorem Proving in Higher Order Logics
Publisher: Springer Berlin Heidelberg
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We present a Coq formalization of constructive
ω
-cpos (extending earlier work by Paulin-Mohring) up to and including the inverse-limit construction of solutions to mixed-variance recursive domain equations, and the existence of invariant relations on those solutions. We then define operational and denotational semantics for both a simply-typed CBV language with recursion and an untyped CBV language, and establish soundness and adequacy results in each case.