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diff --git a/Assignment1/summary.tex b/Assignment1/summary.tex index 6f243b2..a888df8 100644 --- a/Assignment1/summary.tex +++ b/Assignment1/summary.tex @@ -1,2 +1,14 @@ \subsection{Summary} % TODO: points to be added to 5.3 +\camil +\begin{itemize} + \item + PLTL is an extension to LTL which adds \emph{past modalities}. + The extension is not more expressive, but PLTL formulas can be exponentially more succinct than their LTL equivalents. + + \item + Because PLTL formulas need to be able to \enquote{look back}, the satisfaction relation $\vDash$ becomes ternary: + it is a subset of $\left(2^{AP}\right)^\omega \times \mathbb N \times PLTL$, + where the natural number indicates the index at which a trace satisfies a formula. +\end{itemize} +\cbend |