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\documentclass{article}
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\usepackage{charter}
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\usepackage{hyperref}
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\usepackage{amssymb}
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\usepackage{amsmath}
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\usepackage{tikz}
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\usetikzlibrary{automata}
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\newcommand{\dn}{\stackrel{\mbox{\scriptsize def}}{=}}% for definitions
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\begin{document}
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\noindent
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{\bf \underline{Non-exhaustive} list of topics you should know for the exam!}
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\section{Sets}
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\begin{itemize}
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\item What is a language?
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\item concatenation of two sets of strings
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\item power of a set of strings
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\end{itemize}
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\section{Regular Expressions}
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\begin{itemize}
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\item definition of regular expressions
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\item What is the language of a regular expression?
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\item When are two regular expressions are equal?
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\item {\it nullable}, {\it der}, {\it zeroable}, {\it rev}
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\item induction principle of regular expressions
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\item tokens, maximal munch rule
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\item regular expression for complement language
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\item tokenisation
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\end{itemize}
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\section{Automata}
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\begin{itemize}
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\item DFA, NFA
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\item What is the language recognised by a DFA?
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\item Reg $\rightarrow$ NFA
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\item NFA $\rightarrow$ DFA (subset construction)
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\item DFA minimisation (Hopcroft's algorithm)
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\item complement DFA
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\item completion of an automaton
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\item DFA $\rightarrow$ Reg (Brzozowsky's algorithm, equational systems, Arden's lemma)
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\end{itemize}
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\section{Grammars}
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\begin{itemize}
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\item ambiguous grammars
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\item parse trees
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\item ASTs
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\item CYK algorithm
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\end{itemize}
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\end{document}
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%%% Local Variables:
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%%% mode: latex
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%%% TeX-master: t
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%%% End:
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