diff -r 47446f111550 -r 061b32d78471 Journal/Paper.thy --- a/Journal/Paper.thy Thu Sep 08 15:08:02 2011 +0000 +++ b/Journal/Paper.thy Mon Sep 12 19:50:21 2011 +0000 @@ -427,7 +427,7 @@ regular expressions. This theorem gives necessary and sufficient conditions for when a language is regular. As a corollary of this theorem we can easily establish the usual closure properties, including complementation, for - regular languages. We use the continuation lemma \cite{Rosenberg06}, + regular languages. We use the Continuation Lemma \cite{Rosenberg06}, which is also a corollary of the Myhill-Nerode Theorem, for establishing the non-regularity of the language @{text "a\<^isup>nb\<^isup>n"}.\medskip @@ -2398,8 +2398,8 @@ equational system is set up. We have the $\lambda$-term on our `initial state', while Brzozowski has it on the terminal states. This means we also need to reverse the direction of Arden's Lemma. We have not found anything - in the literature about our way of proving the first direction of the - Myhill-Nerode Theorem, but it appears to be folklore. + in the `pencil-and-paper-reasoning' literature about our way of proving the + first direction of the Myhill-Nerode Theorem, but it appears to be folklore. We presented two proofs for the second direction of the Myhill-Nerode Theorem. One direct proof using tagging-functions and another using partial