Coverage, Reachability & Completeness Gaps

Primes about whether every target is actually reached: coverage/reachability and surjectivity as completeness guarantees, exposure pathways and incomplete contracts as breakable or deliberately gapped chains, and training-serving skew as a mismatch between intended and realized coverage.

9 primes in this family — primes that sit near one another in abstraction space (k-means over structural-signature embeddings). Each is shown with its short description.

• Coverage / Reachability — A completeness claim in the surjective direction: every required target in a target set is reachable from at least one of the system's inputs, pathways, or mechanisms.
• Efficiency — Judge an input–output arrangement against its feasible alternatives: it is efficient when no alternative preserves or improves the specified result while using fewer resources, and its inefficiency is the dominated slack removable without sacrifice.
• Exposure Pathway — The chain of links by which a hazard travels from source to vulnerable target, breakable at any link, turning risk into a graph search over severable routes.
• Incomplete Contract — A rule-set that deliberately leaves gaps and designates a handler to fill them.
• Need–Solution Alignment — A proposed intervention fits a need when its supplied capability satisfies that need's binding conditions better than the current alternative for a particular beneficiary and context.
• Proportionality — Match response to scale.
• Realized vs Possible Outcomes — The comparison between what a process actually produces and what it could in principle produce, with the gap as the primary object of analysis.
• Surjectivity — A coverage-guaranteeing mapping in which every element of the target is hit by some input, leaving no gap in the codomain.
• Training Serving Skew — A system prepared in one environment silently underperforms in a systematically different one.