Even in our increasingly text-intensive times, the primary site of language use is situated, co-present interaction. It is primary ontogenetically and phylogenetically, and it is arguably also still primary in negotiating everyday social situations. Situated interaction is also the final frontier of Natural Language Processing, where, compared to the area of text processing, very little progress has been made in the past decade, and where a myriad of practical applications is waiting to be unlocked. While the usual approach in the field is to reach, bottom-up, for the ever next "adjacent possible", in this paper I attempt a top-down analysis of what the demands are that unrestricted situated interaction makes on the participating agent, and suggest ways in which this analysis can structure computational models and research on them. Specifically, I discuss representational demands (the building up and application of world model, language model, situation model, discourse model, and agent model) and what I call anchoring processes (incremental processing, incremental learning, conversational grounding, multimodal grounding) that bind the agent to the here, now, and us.
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