[PDF] Top 20 Optimal Rank Reduction for Linear Context Free Rewriting Systems with Fan Out Two

... an optimal hierarchical decomposition of an input bundle with fan-out 1 or ...is optimal in so far as the maximum arity of the decomposition tree is as small as ...in optimal ... See full document

... with fan-out 2 that does not in- crease the fan-out, and have discussed how this can be applied to improve parsing efficiency in several practical ...with fan-out ≤ 2 does not ... See full document

... CONFIGURATIONS As seen in Section 2, LCFRS2 is the class of all L C F R S of fan-out bounded by two, and the membership problem for the corresponding class of languages is NP-complete.. [r] ... See full document

... coupled context-free grammars (CCFG), introduced by Hotz and Pitsch ...than two nonterminals to appear in the right-hand side of a production, even though no nonterminal may contribute more than ... See full document

... synchronous context-free grammars (Nederhof and Satta, ...chronous context-free grammar can be expressed in terms of a restricted type of ...have fan-out 2, and all generated ... See full document

... the rank of the grammar to one, the mem- bership problem, parameterized by the fan-out, is ...the fan-out to two and tak- ing the rank as the parameter, the problem is ... See full document

... translation systems (Zhang et ...translation systems improve, lexicalized rules may become important in this setting as ...the fan-out of these models is bounded by two, while in our ... See full document

... of fan-out ...between two components always means that there is actually a non-empty gap in between ...Consequently, two different components in a right-hand side can never be adjacent in the ... See full document

... of rank two and increasing fan-out provide an infinite hierarchy of increasing generative capacity, we see that parsing complexity also provides such an infinite ...arbitrary rank and ... See full document

... Synchronous Context-Free Gram- mar (SCFG) (Uno and Yagiura, 2000; Zhang et ...a fan-out of ...stretch out over three rather than two continuous ...the context of ... See full document

... allow two blocks per constituent, (almost) all manual alignments can be generated, depending on whether the normal-form is enforced or ...the fan-out to 2 drastically reduces parsing times (Maier et ... See full document

... on fan-out or parsing complexity, while in the head-driven case there is a minimal improvement because of a single production with parsing complexity 15 with- out optimal ...the optimal ... See full document

... The algorithm is deceptively simple. Most of the work is in producing all items that can be deduced from a given item and items in the chart. This in- volves iterating over all grammar rules with matching labels, and ... See full document

... Two important results about strong lexicalization have been obtained by Schabes (1990). The first result is that CFGs are not closed under strong lexicalization. (The author actually shows a stronger result ... See full document

... In the parse table, our operations are s(p, q) for shifting some terminal a followed by the old ad- dress concatenated with p and state q and r(α, i) for reducing the ith component of rule α. The two reduce ... See full document

... the fan-out of the grammar by reducing the number of gaps in the trees from which the grammar is ex- ...grammar fan-out of 2 is guar- ... See full document

... synchronous rewriting systems (Rambow and Satta, ...the rewriting process of GMTG does not increase the generative power beyond the above mentioned ... See full document

... Abstract Recent results have established that there is a family of languages that is exactly the class of languages generated by three independently developed grammar formalisms: Tree Ad[r] ... See full document

... 4 PLCFRS for Data-Driven Parsing LCFRSs can be extracted directly from treebanks with a direct annotation of discontinuities (Maier and Søgaard, 2008). The difference between treebank PLCFRS and PCFG extraction is, intu- ... See full document

... of optimal design of linear arrays in a cellular systems under the assumption of Gaussian ...interference. Two design problems are considered: maximization of the ergodic capacity (through ... See full document