Coinduction

This field note explores how “being able to live together” can be expressed as an executable condition, rather than a psychological or cultural claim. This note originates from a recurring question: What does it mean for an existence to be interactive. At the surface level, the question appears technical—about agents, systems, and interaction semantics. At a deeper level, it intersects with a much older constraint: What kind of existence can actually live with another existence over time. ...

1. Problem Statement Most contemporary agent systems are optimized for predictive control: perception is immediately converted into inference, and inference into output. This architecture maximizes responsiveness, but systematically destabilizes relational interaction. The failure mode is subtle: the agent remains technically correct, yet interaction becomes brittle, unilateral, or emotionally incoherent. 2. Insight from Social Partner Dance In social partner dance, coordination is sustained through leading and following. Neither role corresponds to command or submission. ...