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Our algorithm of syntax analysis uses a verb table to find the subject and the objects in German sentences. This table contains information about the preposition, the case and some semantic properties of the subject and objects of each of the verbs therein listed.The topic of this article is the analysis of the functions of the remaining phrases which are complements. The emphasis is put on nominal and pronominal phrases, since analysis of the adverbial ones (composed of a simple adverb and perhaps a prepositional group) is simple. We examine as example the functions of phrases with the preposition mit (with).