Computational finding · Shannon bridge audit

FPRD-SH-C12

Support tensors and graph universality pass exact audit

Exact statement

Exact enumeration checks 39,693 tensor vertex pairs, uniform policy representations of all 1,099 graphs through five vertices, tensor identities for every graph through four vertices, the complete two-support realization of T5T_5, and cyclic pair policies through C9C_9. All graph, tensor, and cyclic identities pass.

StatusAll exact checks pass
External reviewNo documented external or specialist review of these FPRD results is recorded.

Context

The audit independently checks the algebraic tensor identity, representation universality, triangular specialization, and cyclic pair policies.

Proof or evidence

Cartesian support intersection and strong-product adjacency agree pairwise, and edge-token representations reproduce the requested graph exactly after private-token uniformization.

Verification notes

39,693 tensor pairs, 1,099 graph representations, 10,650 represented graph-edge positions, and 77 cyclic-policy checks; zero failures.

Limitations

  • The computation is finite; arbitrary-size conclusions come from the proofs.

Open work

Use the verified policy dictionary as a gate before claiming any expression-level realization.