Generating induction principles and subterm relations for inductive types using MetaCoq
share
We implement three Coq plugins regarding inductive types in MetaCoq. The first plugin is a simple syntax transformation generating alternative constructors for inductive types by abstracting over concrete indices in the types of the constructors. The second plugin re-implements Coq's Scheme Induction command in MetaCoq, and extends it to nested inductive types, e.g. types like rose trees which use list in their definition, similar to the Elpi-plugin by Tassi. The third plugin implements the Derive Subterm command provided by the Equations package in MetaCoq.
READ FULL TEXT