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| -rw-r--r-- | Assignment1/assignment1.tex | 1 | ||||
| -rw-r--r-- | Assignment1/comparison.tex | 2 | ||||
| -rw-r--r-- | Assignment1/summary.tex | 12 |
3 files changed, 12 insertions, 3 deletions
diff --git a/Assignment1/assignment1.tex b/Assignment1/assignment1.tex index 3c9d766..b4ed04c 100644 --- a/Assignment1/assignment1.tex +++ b/Assignment1/assignment1.tex @@ -90,7 +90,6 @@ \input{semantics} \input{specifying-properties} \input{equivalence} -\input{comparison} \input{conversion} %TODO: (Section?) Assess if PLTL is actually more succinct using the examples from the SSH Paper \input{bad-prefix} diff --git a/Assignment1/comparison.tex b/Assignment1/comparison.tex deleted file mode 100644 index 5876153..0000000 --- a/Assignment1/comparison.tex +++ /dev/null @@ -1,2 +0,0 @@ -\subsubsection{LTL and PLTL} -%TODO: Consider/Analyse differences between LTL and PLTL 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 |