--- 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