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interpreters are tools to compute approximations for behaviors of a program.These approximations can then be used for optimisation or for error detection.In this paper, we show how to describe an abstract interpreter using thetype-theory based theorem prover Coq, using inductive types for syntax andstructural recursive programming for the abstract interpreter's kernel. Theabstract interpreter can then be proved correct with respect to a Hoare logicfor the programming language.

Structural abstract interpretation, A formal study using Coq