Paradis and LaCharité (1996, 1997) have proposed a model of loanword adaptation, couched within the Theory of Constraints and Repair Strategies (Paradis 1988a,b). One of the mechanisms used in their model, called the Threshold Principle, first advanced by Paradis, Lebel, and LaCharité (1993), poses problems. This principle, whose implementation implies arithmetic counting, goes counter to standard views of generative phonology against counting. In this article, an analysis of deletion contexts found in loanwords which accounts for the data observed on structural grounds only is developed without any appeal to arithmetic counting. Based on the adaptation of French rising diphthongs and nasal vowels in two languages, Fula and Kinyarwanda, it is argued that an analysis based solely on the segmental representations of the foreign forms to adapt and the segmental and syllabic constraints of the borrowing language is sufficient to make correct predictions regarding the adaptation patterns found in these languages.