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If there are many possible valid ways to parse an input, a CFG will be ambiguous and thus will return an error. By usually wrong we mean that some parsers that adopt CFGs can deal with ambiguous grammars. For instance, by providing all possible valid results to the developer and let him sort it out. Instead PEG eliminate ambiguity altogether because the first applicable choice will be chosen, thus a PEG can never be ambiguous. The disadvantage of this approach is that you have to be more careful in listing possible alternatives, because otherwise you could have unexpected consequences. That is to say some choices could never be matched. It is an open area of research whether PEG can describe all grammars that can be defined with CFG, but for all practical purposes they do. In theory parsing is a solved problem, but it is the kind of problem that keep being solved again and again. That is to say that there are many different algorithms, each one with strong and weak points, and they are still improved by academics. In this section we are not going to teach how the implement every one of the parsing algorithm, but we are going to explain their features. The goal is that you can choose with more awareness which parsing tool to use, or which algorithm to study better and implement for your custom parser.


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