knot-theory • Verified reference
Policy Knot Invariance Lemma
Knot invariants such as the Alexander polynomial can support a policy-equivalence analogy, provided the policy-to-knot encoding is formally defined.
Assumptions
- Policy-to-knot encoding is explicit.
- Equivalence relation on policies is defined.
- Knot invariant chosen is appropriate for the policy distinction needed.
Proof Obligations
- Define encoding from policy text to knot structure.
- Prove encoding is stable under permitted policy transformations.
- Show invariant detects relevant unauthorized mutations.
- Classify false positives and false negatives.
Claim Boundary
Knot invariance is an established mathematical concept; its DFT governance use is an authorial formalization target.