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Layer: Physical schema
Shortest FK-graph join paths between every pair of input tables. Each JoinEdge is path-oriented (left/right columns positionally aligned for direct SQL JOIN), so the agent doesn’t have to figure out FK direction. Multi-hop paths via intermediate tables work; pairs unreachable within max_hops land in unreachable_pairs.
confidence is 1.0 for declared FKs at v0; query-log-inferred edges (planned for v1) will land below 1.0.