diff -r f9f89b7cfdc7 -r 3f8ad7418e55 doc-src/TutorialI/CTL/document/CTLind.tex --- a/doc-src/TutorialI/CTL/document/CTLind.tex Wed Jul 11 10:52:20 2007 +0200 +++ b/doc-src/TutorialI/CTL/document/CTLind.tex Wed Jul 11 10:53:39 2007 +0200 @@ -41,12 +41,13 @@ % on the initial segment of M that avoids A.% \end{isamarkuptext}% \isamarkuptrue% -\isacommand{consts}\isamarkupfalse% -\ Avoid\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}state\ {\isasymRightarrow}\ state\ set\ {\isasymRightarrow}\ state\ set{\isachardoublequoteclose}\isanewline -\isacommand{inductive}\isamarkupfalse% -\ {\isachardoublequoteopen}Avoid\ s\ A{\isachardoublequoteclose}\isanewline -\isakeyword{intros}\ {\isachardoublequoteopen}s\ {\isasymin}\ Avoid\ s\ A{\isachardoublequoteclose}\isanewline -\ \ \ \ \ \ \ {\isachardoublequoteopen}{\isasymlbrakk}\ t\ {\isasymin}\ Avoid\ s\ A{\isacharsemicolon}\ t\ {\isasymnotin}\ A{\isacharsemicolon}\ {\isacharparenleft}t{\isacharcomma}u{\isacharparenright}\ {\isasymin}\ M\ {\isasymrbrakk}\ {\isasymLongrightarrow}\ u\ {\isasymin}\ Avoid\ s\ A{\isachardoublequoteclose}% +\isacommand{inductive{\isacharunderscore}set}\isamarkupfalse% +\isanewline +\ \ Avoid\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}state\ {\isasymRightarrow}\ state\ set\ {\isasymRightarrow}\ state\ set{\isachardoublequoteclose}\isanewline +\ \ \isakeyword{for}\ s\ {\isacharcolon}{\isacharcolon}\ state\ \isakeyword{and}\ A\ {\isacharcolon}{\isacharcolon}\ {\isachardoublequoteopen}state\ set{\isachardoublequoteclose}\isanewline +\isakeyword{where}\isanewline +\ \ \ \ {\isachardoublequoteopen}s\ {\isasymin}\ Avoid\ s\ A{\isachardoublequoteclose}\isanewline +\ \ {\isacharbar}\ {\isachardoublequoteopen}{\isasymlbrakk}\ t\ {\isasymin}\ Avoid\ s\ A{\isacharsemicolon}\ t\ {\isasymnotin}\ A{\isacharsemicolon}\ {\isacharparenleft}t{\isacharcomma}u{\isacharparenright}\ {\isasymin}\ M\ {\isasymrbrakk}\ {\isasymLongrightarrow}\ u\ {\isasymin}\ Avoid\ s\ A{\isachardoublequoteclose}% \begin{isamarkuptext}% It is easy to see that for any infinite \isa{A}-avoiding path \isa{f} with \isa{f\ {\isadigit{0}}\ {\isasymin}\ Avoid\ s\ A} there is an infinite \isa{A}-avoiding path