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The traditional Combinatory Categorial Grammar account of the scrambling phenomena of languages with case markers operates under the assumption that case markers play a computational role in word order by licensing grammatical relations between NPs and predicates. This paper shows that case markers do not always have such a powerful function and that various word order cues are interactive. An alternative analysis will be proposed in the framework of Multi-set Combinatory Categorial Grammar, which enables us to formalize the effects of case markers and other word order cues in the computation of sentences. The explanation offered here depends on complementarily using a case feature provided by a verb and assigning different modalities for different lexical items.