Indeed, having k+1 languages in our corpus, we need only apply the WSD method to the aligned wordnets for the target language (English in our case) and one source language, say L i , and alignment lexicons from the target language to every other language in the corpus.
the wordnets are aligned to the Princeton Wordnet (PWN2.0), taken as an interlingual index, following the principles established by the EuroWordNet consortium.