Track A5: complete-process identification

For a finite instrument $\{{\mathcal{I}}_r\}$, each map is completely positive and trace nonincreasing, and their sum is trace preserving DaviesLewis. A Markov history law is

Adaptive settings are functions of previous records. For a memory-bearing bath, propagate the joint carrier–bath state between interventions rather than resetting it implicitly. This distinction is central to multitime process theory PollockProcess,PollockMarkov.