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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...
various operations on graphs, matrices, or relations can be executed more quickly when the arguments are "sparse" (i.e., if e ≪ ≪ v2where e is the number of edges and v the number of vertices) than when they are "dense" (i.e., e ≈ v2). Fast algorithms are presented for a large class of operations on sparse relations. These algorithms are used to produce the best known methods for...
Although the field of "canonical parsing" (i.e. parsing in which we always reduce the leftmost phrase of a sentential form) has been extensively studied, the field of non-canonical parsing has been relatively untouched, In this paper, we first motivate the whole study by presenting a language which is intrinsically non-canonical and then we develop a general model of bottom-up parsing which...
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