Exploring oppositions in morphology

In this paper, we define a group structure over strings and note that by applying this computation to words, we obtain major steps towards a method for identifying allomorphy and learning morphophonemics. First order differences among a set of words forming a paradigm identify morphs, while second order differences identify allomorphy. When this allomorphy appears at morpheme boundary, this can in a wide range of cases be identified as morphophonology.