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The purpose of this paper is to present constraints on English multiple-gap constructions. The constrain-based analysis of multiple filler-gap dependencies can exhibit a uniformity. That associates the relevant syntactic and semantic features of a filler constituent with those of gap position through simple conditions of identity. SLASH representing a gap is used in connectivity mechanism. SLASH features are inherited by SLASH Inheritance Principle to connect with a filler. This system made it possible to analyze not only sentences with two different sets of one filler and one gap but also sentences with one filler and two gaps which are simultaneously linked with the same filler. Furthermore, it could solve the case conflict caused by the relationship between one filler and two gap positions. (Seonam University)