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Imagine building an agent that files bug reports in a locally hosted issue tracker. It predicts what a title entry, assignee selection, and Save click will do. In a hypothetical training set, most sessions are valid and most assignees belong to the team, so predicting that Save adds a row looks accurate. The interesting question is what happens when those conditions change.
The agent types "Login fails", selects "ada", and clicks Save. Suppose this application's client shows an optimistic "Saved" banner before the server responds, but the server rejects the write because the session has expired. The persistent issue list is unchanged. If the agent treats the banner as proof of persistence, its belief can drift from the store. This is an illustrative interface design, not a claim that every application handles Save this way.
The distinction is between a rendered observation and the state that determines an action's effects. Software workflows can have partial effects: a record may be committed while a notification fails, or one service may update while another does not. An atomic database transaction provides all-or-nothing behavior only within its stated boundary. Physical systems can also have thresholds and discrete failures, such as a latch that either engages or fails to engage. The useful software-specific opportunity is not a universal binary-versus-continuous divide; it is access to structured interfaces, executable checks, and controlled environments.
Digital environments can make some verification and reset operations inexpensive. A local test fixture may expose a record read, a file check, or a reproducible snapshot. Production is different: an authorized read can be slow or stale, and an email or payment may already have caused irreversible harm before a check detects failure. Cheap checking does not bound the cost of being wrong. We therefore need to model both the transition and the evidence that establishes its outcome.
This chapter develops that view for web pages, desktop applications, and code interpreters. We separate full state, observations, beliefs, actions, asynchronous effects, and goals. GUI and API interfaces offer different observation channels; contracts and tests constrain covered behavior without replacing a complete dynamics model. We then examine rollout errors, controlled replay, hierarchy, and verification. A deterministic local issue-tracker experiment makes the distinction between predictive fidelity, corrected belief agreement, task completion, rejected actions, and recovery cost explicit.