History / trajectory value

A preference or score on whole paths, not on a snapshot state.

Lenses and frameworks

Role. Target. Graph node hist.

A utility or preference over h=(s₀,a₀,s₁,…) represents delayed and path-dependent value directly. A pathwise safety predicate is different.

— Frames draft §4.1

A history-valued lens scores the sequence (s₀, a₀, s₁, …). Two deployments can share an endpoint and still differ if manipulation, dissent removal, or withheld evidence is visible in the history.

Encoding a finite history into a record-carrying state is always available in principle. The cost is compactness, locality, observability, or stationarity — not a proof that the snapshot object was already enough.