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diff --git a/Assignment1/conversion.tex b/Assignment1/conversion.tex index fe9b136..be5196f 100644 --- a/Assignment1/conversion.tex +++ b/Assignment1/conversion.tex @@ -446,14 +446,15 @@ This theorem, in combination with the work of \citet{Meyer1969}, allows for the \begin{enumerate} \item Each $B_i$ is a permutation-reset automaton\footnote{\label{note:definition-omitted}Definition omitted for brevity.} \item There is a homomorphism\footnote{See \cref{note:definition-omitted}.} $\phi$ from $C$ to $A$ - \item Any permutation in some $B_i$ is homomorphic to a subgroup of the tranformation semigroup of $A$ + \item Any permutation in some $B_i$ is homomorphic to a subgroup of the transformation semigroup of $A$ \end{enumerate} \end{theorem} The cascade product can then be used to create star-free regular sets. These sets can then be transformed into LTL formulae. +We will not discuss this transformation in detail since it lies beyond the scope of this book. \cbend %Provide the syntactic algorithm to convert PLTL to LTL -%TODO: Provide algorithm via automata to convert PLTL to LTL +%Provide algorithm via automata to convert PLTL to LTL %TODO: In both cases make use of examples from SSH Paper |