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Language use is full of subsentential shifts of context, a phenomenon dramatically illustrated in conversation where non-sentential utterances displaying seamless shifts between speaker/hearer roles appear regularly. The hurdle this poses for standard assumptions is that every local linguistic dependency can be distributed across speakers, with the content of what they are saying and the significance of each conversational move emerging incrementally. Accordingly, we argue that the modelling of a psychologically-realistic grammar necessitates recasting the notion of natural language in terms of our ability for interaction with others and the environment, abandoning the competence-performance dichotomy as standardly envisaged. We sketch

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