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% Chapter Template
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\chapter{Further Improvements} % Main chapter title
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\label{Further} %In Chapter 5\ref{Chapter5} we discuss stronger simplifications to improve the finite bound
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%in Chapter 4 to a polynomial one, and demonstrate how one can extend the
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%algorithm to include constructs such as bounded repetitions and negations.
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%----------------------------------------------------------------------------------------
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% SECTION strongsimp
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%----------------------------------------------------------------------------------------
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\section{Zippers}
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%TODO: search for isabelle proofs of algorithms that check equivalence
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Unfortunately using zippers causes a similar effect like the "break up" rule
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and does not preserve the $\POSIX$ property.
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