An Essence of SSReflect

摘要

SSReflect is a powerful language for proving theorems in the Coq system. It has been used for some of the largest proofs in formal mathematics thus far. However, although it constructs proofs in a formal system, like most other proof languages the semantics is informal making it difficult to reason about such proof scripts. We give a semantics to a subset of the language, using a hierarchical notion of proof tree, and show some simple transformations on proofs that preserve the semantics.