up

[mc1516.git] / e1.tex

diff --git a/e1.tex b/e1.tex
index ec5fcd3..a975cf7 100644 (file)
--- a/e1.tex
+++ b/e1.tex
@@ -11,29 +11,31 @@
 \newcommand{\al}{\square}
 \newcommand{\nx}{\bigcirc}
 
+\everymath{\displaystyle}
+
+\author{Mart Lubbers}
+\date{\today}
+\title{Model Checking Excercises 1}
+
 \begin{document}
+\maketitle
 \begin{enumerate}
        \item
-               $\xymatrix{
-                       \ar[dr]\\
-                               & *+[o][F-]{s_0}\\
-                       *+[o][F-]{nc_1} & & *+[o][F-]{nc_1}
-               }$
        \item
                $\al(crit_0\veebar crit_1)$
        \item 
                We define:\\
-               $\displaystyle AP=\bigcup_{i\in N}\{lift_n, door_n,call_n\},
+               $ AP=\bigcup_{i\in N}\{lift_n, door_n,call_n\},
                N=\{0, 1, 2, 3\}$
                \begin{enumerate}
                        \item
-                               $\forall n\in N\al(door_m\ra lift_n)$
+                               $\bigwedge_{n\in N}\al(door_m\ra lift_n)$
                        \item
-                               $\forall n\in N\al(call_n\ra\ev lift_n)$
+                               $\bigwedge_{n\in N}\al(call_n\ra\ev(lift_n\wedge door_n))$
                        \item
                                $\al\ev lift_0$
                        \item
-                               $\al call_3\rightarrow\bigcirc lift_3$
+                               $\al(call_3\rightarrow\bigcirc (lift_3\wedge door_3))$
                \end{enumerate}
        \item\strut\\
                $\begin{array}{ll}