DEFINITION
Cellular Sheaf Cohomology
Cellular Sheaf Cohomology for Graph Verification
Definition
A mathematical framework from algebraic topology that represents claims as a graph with local consistency rules and checks whether a proposed structure can be made globally consistent. Used in Sigma Guard to detect logical contradictions in graph-backed memory before writes commit.
Examples in the Wild
- Example 1:Detecting that 'Acme prefers annual billing' contradicts 'Acme requires monthly billing' before both are stored
- Example 2:Verifying 5M-vertex graphs with 40M edges for consistency in streaming updates
- Example 3:Localizing contradictions to specific cells in a graph for targeted resolution