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Diffstat (limited to 'Assignment1')
| -rw-r--r-- | Assignment1/conversion.tex | 12 | ||||
| -rw-r--r-- | Assignment1/intro.tex | 2 |
2 files changed, 13 insertions, 1 deletions
diff --git a/Assignment1/conversion.tex b/Assignment1/conversion.tex index a133fcf..9e71692 100644 --- a/Assignment1/conversion.tex +++ b/Assignment1/conversion.tex @@ -1,4 +1,16 @@ \subsubsection{PLTL to LTL} +\erin +In Subsection~\ref{sec:intro} we stated that past modalities do not increase the expressive power of LTL. +In this section we proof this statement by demonstrating two algorithms that can convert any arbitrary PLTL formula to a LTL formula. +The first algorithm that we will demonstrate was first presented by Gabbay in 1989~\cite[Gabbay1989] and is based on syntactic rewriting. +The second algorithm makes use of the translation of LTL formulas to automata. +We will explain more about this algorithm once we get to it. + +\paragraph{Syntactic Algorithm} + +\paragraph{Automata-based Algorithm} + +\cbend %TODO: Provide the syntactic algorithm to convert PLTL to LTL %TODO: Provide algorithm via automata to convert PLTL to LTL %TODO: In both cases make use of examples from SSH Paper diff --git a/Assignment1/intro.tex b/Assignment1/intro.tex index 0ccd0ca..0d359f3 100644 --- a/Assignment1/intro.tex +++ b/Assignment1/intro.tex @@ -1,4 +1,4 @@ -\subsection{Past Modalities in LTL} +\subsection{Past Modalities in LTL}\label{sec:intro} % Explain that past Modalities are not necessary for a complete logic % Explain that PLTL does make the logic more succinct (Paper 1) %TODO: Give example on what kind of things we want to express with PLTL |