The statement is false. A core principle of OSPF's hierarchical area-based design is to limit the scope of link-state information flooding. Routers within a specific OSPF area maintain an identical and complete Link-State Database (LSDB) for that area, which contains detailed topology information (Type 1 and Type 2 LSAs). However, this detailed information is not flooded into other areas. Instead, Area Border Routers (ABRs) summarize the routing information from their attached areas and advertise these summaries into the backbone area (Area 0) as Type 3 LSAs (Summary LSAs). Therefore, a router in the backbone area has detailed information only about the backbone area itself, plus summary information about networks in other areas, not the complete LSDBs of those other areas.

The statement claims a backbone router has "complete LSDBs" of other areas. This is fundamentally incorrect; it only has summary LSAs (Type 3) representing networks in other areas, not the full set of Type 1 and Type 2 LSAs that constitute a complete intra-area LSDB. Therefore, the statement cannot be true.

1. Moy, J. (April 1998). RFC 2328: OSPF Version 2. The Internet Society. Section 3.5: "The Area Border Routers". This section explicitly states, "The topology of an area is hidden from the rest of the Autonomous System. This information hiding reduces the amount of routing traffic." It details how ABRs originate summary-LSAs, not flood the entire intra-area LSDB.

2. Huawei. (2020). HCIA-Datacom V1.0 Training Material (Model H12-811). Chapter: "OSPF Basic Principles". This material explains the concept of OSPF multi-area design, the role of ABRs, and the different LSA types, clarifying that Type 1 and Type 2 LSAs are confined within an area, while Type 3 LSAs are used for inter-area communication.

3. Cisco Systems. (2005). OSPF Design Guide. Cisco Press. While a Cisco publication, it describes the vendor-neutral OSPF protocol standard. The section on "OSPF Areas and Border Routers" explains that the primary benefit of areas is that the detailed topology of an area is invisible outside the area, and routes are summarized at the ABR, thus reducing the LSDB size on internal routers.