diff -r 692b62426677 -r deea42c83c9e thys/Journal/Paper.thy --- a/thys/Journal/Paper.thy Fri Sep 22 12:25:25 2017 +0100 +++ b/thys/Journal/Paper.thy Thu Oct 05 12:45:13 2017 +0100 @@ -223,10 +223,10 @@ \noindent where @{const Stars}, @{text Left}, @{text Right} and @{text Char} are constructors for values. @{text Stars} records how many iterations were used; @{text Left}, respectively @{text Right}, which -alternative is used. This `tree view' leads naturally to the -idea that regular expressions act as types and values as inhabiting -those types. This view was first put forward by ???. The value for the -single `iteration', i.e.~the POSIX value, would look as follows +alternative is used. This `tree view' leads naturally to the idea that +regular expressions act as types and values as inhabiting those types +(see, for example, \cite{HosoyaVouillonPierce2005}). The value for +the single `iteration', i.e.~the POSIX value, would look as follows \begin{center} @{term "Stars [Seq (Char x) (Char y)]"} @@ -1253,8 +1253,8 @@ being inhabited by the same regular expression. The complexity of the proofs involved seems to not justify such a `cleaner' single statement. The statements given are just the properties that - allow us to establish our theorems. The proofs for Proposition~\ref{ordintros} - are routine. + allow us to establish our theorems without any difficulty. The proofs + for Proposition~\ref{ordintros} are routine. Next we establish how Okui and Suzuki's orderings relate to our