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LR(k) parsing was introduced by Knuth [17] in 1965. While the method was interesting and was sufficiently powerful to be able to parse any deterministic context-free language, there were serious obstacles to its use in practice. The method in [17] leads to table-driven parsers in which the size(1) can grow exponentially with the number of productions. (An example may be found in [4].) In [18], Korenjak...
It is shown that there is a sequence of languages E1, E2,... such that every correct prefix parser (one which detects errors at the earliest possible moment, e.g., LR or LL parsers) for En has size 2cn, yet a deterministic PDA recognizing En exists and has size O(n2). There is another easily described sequence of languages N1,N2,... for which Nn has a nondeterministic PDA of size O(n2) but no deterministic...
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