[FMFP] First rework complete

semester4/fmfp/parts/05_modelling/02_linear-temporal-logic/00_linear-time-properties.tex

@@ -65,7 +65,7 @@ The LT-Properties are typically specified over infinite sequences of abstract st
 \inlinedefinition An LT-property $P$ is a safety property if for all infinite sequences $t \in \cP(AP)^{\omega}$:
 if $t \notin P$ then there is a finite prefix $\hat{t}$ of $t$ such that for every $t'$ with prefix $\hat{t}$, $t \notin P$.
 
-\inlineintuition More informally, it \textit{does not allow anything bad to happen}. Or, more exhaustively, if a sequence $t$ is no allowed by the LT-property,
+\inlineintuition More informally, it \textit{does not allow anything bad to happen}. Or, more exhaustively, if a sequence $t$ is not allowed by the LT-property,
 then there exists a finite prefix $\hat{t}$, which contains everything that makes the sequence violate the LT-property.
 Thus, whatever sequence we append to it, it will always remain in violation of the property $P$.
 

semester4/fmfp/parts/05_modelling/02_linear-temporal-logic/01_linear-temporal-logic.tex

@@ -2,10 +2,10 @@
 This is used to formalize LT-properties of traces.
 
 \paragraph{Operators}
-The basic operators are, with $p$ a proposition from $AP \neq \emptyset$ and $\Phi$ and $\Psi$ LTL formulas:
+The basic operators are, with $p$ a proposition from $AP \neq \emptyset$, and $\Phi$ and $\Psi$ LTL formulas:
 \begin{itemize}
     \item $p$ states that it is true ``\textit{now}''
-    \item $\Phi U \Psi$ states that $\Phi$ holds ``\textit{until}'' $\Psi$ holds. I.e. there are no other valid propositions that hold in between.
+    \item $\Phi \; U \; \Psi$ states that $\Phi$ holds ``\textit{until}'' $\Psi$ holds. I.e. there are no other valid propositions that hold in between.
     \item $\bigcirc \Phi$ states that the $\Phi$ holds for the ``\textit{next}''
 \end{itemize}