{"id":157673,"date":"2009-08-01T00:00:00","date_gmt":"2009-08-01T00:00:00","guid":{"rendered":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/msr-research-item\/some-domain-theory-and-denotational-semantics-in-coq\/"},"modified":"2018-10-16T19:59:07","modified_gmt":"2018-10-17T02:59:07","slug":"some-domain-theory-and-denotational-semantics-in-coq","status":"publish","type":"msr-research-item","link":"https:\/\/cm-edgetun.pages.dev\/en-us\/research\/publication\/some-domain-theory-and-denotational-semantics-in-coq\/","title":{"rendered":"Some Domain Theory and Denotational Semantics in Coq"},"content":{"rendered":"<div class=\"asset-content\">\n<p>We present a Coq formalization of constructive omega-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.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We present a Coq formalization of constructive omega-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 [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"Springer Verlag","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"Proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics (TPHOLs)","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"","msr_journal":"","msr_number":"","msr_organization":"","msr_pages_string":"","msr_page_range_start":"","msr_page_range_end":"","msr_series":"","msr_volume":"","msr_copyright":"","msr_conference_name":"Proceedings of the 22nd International Conference on Theorem Proving in Higher Order Logics 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