... thisalgorithm, using an average of tiles persentence (for an average input sentence length of30 words) and an average of possible trans-lations per tile, encodes a candidate set of about10 possible translations. ... large setof candidate realizations, and, in a second phase,statistical knowledge about the target language(such as stochastic language models) to rank thecandidate realizations and find the ... , , and with in-goingedges labeled , , and , respectively, andvertices , , and with out-going edges la-beled , , and , respectively, result fromthe expansion of the operator. Verticesand...