diff -r c8cb6914f4c8 -r 60bcf13adb77 Journal/Paper.thy --- a/Journal/Paper.thy Thu Jul 11 12:07:11 2013 +0100 +++ b/Journal/Paper.thy Thu Jul 11 16:46:05 2013 +0100 @@ -1732,7 +1732,7 @@ \begin{rmk} While our proof using tagging functions might seem like a rabbit pulled - out of a hat, the intuition behind can be somewhat rationalised taking the + out of a hat, the intuition behind can be somewhat rationalised by taking the view that the equivalence classes @{term "UNIV // \(lang r)"} stand for the states of the minimal automaton for the language @{term "lang r"}. The theorem amounts to showing that this minimal automaton has finitely many states. @@ -2646,7 +2646,7 @@ regular language theory and Kleene algebras in Coq. While he is mainly interested in implementing decision procedures for Kleene algebras, his library includes a proof of the Myhill-Nerode - theorem. He reckons that our ``development is more concise'' than + theorem. He reckons that our Myhill-Nerode ``development is more concise'' than his one based on matrices \cite[Page 67]{Braibant12}. He writes that there is no conceptual problems with formally reasoning about matrices for automata, but notes ``intrinsic difficult[ies]'' when