... of e ), (the fertility of the NULL word) , (the k French word produced by e in a), (the position of in f), (the position of the first fertile word to the left of e in a), (the ceiling of the average ... f, then an optimaldecoder will search for an e that maximizes P(ef)1 The symbols in this formula are: (the length of e), (the length off), e (the i English word in e), e (the NULL word) , (the ... “spurious” French words.Next, we perform a word- for -word replace-ment of English words (including NULL) byFrench words, according to the table t(f e ).Finally, we permute the French words. In per-muting,...