Library CoLoR.Term.String.SContext

CoLoR, a Coq library on rewriting and termination. See the COPYRIGHTS and LICENSE files.
  • Frederic Blanqui, 2005-12-05
one-hole contexts

Set Implicit Arguments.


Section S.

Variable Sig : Signature.

Notation string := (list Sig).

contexts and replacement of the hole

Record context : Type := mkContext { lft : string; rgt : string }.

Definition fill c s := lft c ++ s ++ rgt c.

context composition

Definition comp c d := mkContext (lft c ++ lft d) (rgt d ++ rgt c).

Lemma fill_fill : forall c d u, fill c (fill d u) = fill (comp c d) u.

End S.