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The purpose of this paper is to explore the possibility that the same principles can be conceived of morphology as a formal system based on general principles rather than on rules. Focusing on derivational morphology and if morphological structures are considered as projections of lexical categories of minus-one-bar level, their well-formedness is constrained by the same general principles of syntax. And the headedness in these structures is determined by the directionality parameters of government theory for Head-argument structures and of modification theory for Adjunct-head structures. This analysis allows different values for the directionality parameter of government theory for X° and X1 levels of projection, which turns out to account for exactly an attested array of typologically diverse languages.