diff -r 98cdeb6beb3b -r aa788fcb75a5 doc-src/TutorialI/CTL/document/CTLind.tex --- a/doc-src/TutorialI/CTL/document/CTLind.tex Sun Jan 21 13:21:14 2001 +0100 +++ b/doc-src/TutorialI/CTL/document/CTLind.tex Sun Jan 21 19:50:43 2001 +0100 @@ -87,12 +87,12 @@ \noindent \begin{isabelle}% \ {\isadigit{1}}{\isachardot}\ {\isasymAnd}x{\isachardot}\ {\isasymlbrakk}{\isasymforall}p{\isasymin}Paths\ s{\isachardot}\ {\isasymexists}i{\isachardot}\ p\ i\ {\isasymin}\ A{\isacharsemicolon}\ x\ {\isasymin}\ Avoid\ s\ A{\isacharsemicolon}\isanewline -\ \ \ \ \ \ \ \ \ \ \ {\isasymforall}y{\isachardot}\ {\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ M\ {\isasymand}\ y\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ x\ {\isasymnotin}\ A\ {\isasymlongrightarrow}\isanewline -\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ y\ {\isasymin}\ lfp\ {\isacharparenleft}af\ A{\isacharparenright}{\isasymrbrakk}\isanewline -\ \ \ \ \ \ \ \ {\isasymLongrightarrow}\ x\ {\isasymin}\ lfp\ {\isacharparenleft}af\ A{\isacharparenright}\isanewline +\isaindent{\ {\isadigit{1}}{\isachardot}\ {\isasymAnd}x{\isachardot}\ \ \ \ }{\isasymforall}y{\isachardot}\ {\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ M\ {\isasymand}\ y\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ x\ {\isasymnotin}\ A\ {\isasymlongrightarrow}\isanewline +\isaindent{\ {\isadigit{1}}{\isachardot}\ {\isasymAnd}x{\isachardot}\ \ \ \ {\isasymforall}y{\isachardot}\ }y\ {\isasymin}\ lfp\ {\isacharparenleft}af\ A{\isacharparenright}{\isasymrbrakk}\isanewline +\isaindent{\ {\isadigit{1}}{\isachardot}\ {\isasymAnd}x{\isachardot}\ }{\isasymLongrightarrow}\ x\ {\isasymin}\ lfp\ {\isacharparenleft}af\ A{\isacharparenright}\isanewline \ {\isadigit{2}}{\isachardot}\ {\isasymforall}p{\isasymin}Paths\ s{\isachardot}\ {\isasymexists}i{\isachardot}\ p\ i\ {\isasymin}\ A\ {\isasymLongrightarrow}\isanewline -\ \ \ \ wf\ {\isacharbraceleft}{\isacharparenleft}y{\isacharcomma}\ x{\isacharparenright}{\isachardot}\isanewline -\ \ \ \ \ \ \ \ {\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ M\ {\isasymand}\ x\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ y\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ x\ {\isasymnotin}\ A{\isacharbraceright}% +\isaindent{\ {\isadigit{2}}{\isachardot}\ }wf\ {\isacharbraceleft}{\isacharparenleft}y{\isacharcomma}\ x{\isacharparenright}{\isachardot}\isanewline +\isaindent{\ {\isadigit{2}}{\isachardot}\ wf\ \ }{\isacharparenleft}x{\isacharcomma}\ y{\isacharparenright}\ {\isasymin}\ M\ {\isasymand}\ x\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ y\ {\isasymin}\ Avoid\ s\ A\ {\isasymand}\ x\ {\isasymnotin}\ A{\isacharbraceright}% \end{isabelle} \REMARK{I put in this proof state but I wonder if readers will be able to follow this proof. You could prove that your relation is WF in a