Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Calculational abstract interpretation, long advocated by Cousot, is a technique for deriving correct-by-construction abstract interpreters from the formal semantics of programming languages.  addresses the problem of deriving correct-by-verifiedconstruction abstract interpreters with the use of a proof assistant.  identify several technical challenges to overcome with the aim of supporting verified calculational abstract interpretation that is faithful to existing pencil-and-paper proofs, supports calculation with Galois connections generally, and enables the extraction of verified static analyzers from these proofs. To meet these challenges,  develop a theory of Galois connections in monadic style that include a specification effect. Effectful calculations may reason classically, while pure calculations have extractable computational content. Moving beten the worlds of specification and implementation is enabled by our metatheory. To validate our approach,  give the first mechanically verified proof of correctness for Cousot’s “Calculational design of a generic
['David Darais', 'David Van Horn']
I am writing a research paper on a idea Mechanically Verified Calculational Abstract Interpretation
[{"from": "human", "value": "I am writing a research paper on a idea Mechanically Verified Calculational Abstract Interpretation"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Calculational abstract interpretation, long advocated by Cousot, is a technique for deriving correct-by-construction abstract interpreters from the formal semantics of programming languages.  addresses the problem of deriving correct-by-verifiedconstruction abstract interpreters with the use of a proof assistant.  identify several technical challenges to overcome with the aim of supporting verified calculational abstract interpretation that is faithful to existing pencil-and-paper proofs, supports calculation with Galois connections generally, and enables the extraction of verified static analyzers from these proofs. To meet these challenges,  develop a theory of Galois connections in monadic style that include a specification effect. Effectful calculations may reason classically, while pure calculations have extractable computational content. Moving beten the worlds of specification and implementation is enabled by our metatheory. To validate our approach,  give the first mechanically verified proof of correctness for Cousot\u2019s \u201cCalculational design of a generic"}]