2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/171795interpreters 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 the type-theory based theorem prover Coq, using inductive types for syntax and structural recursive programming for the abstract interpreter's kernel. The abstract interpreter can then be proved correct with respect to a Hoare logic for the programming language.Logic in Computer ScienceStructural abstract interpretation, A formal study using Coqtext