compositional-acset-comparison

Schema comparison across DuckDB and LanceDB uses ACSets to map structural differences, coverage density, and translation gaps. Run full_comparison() on both schemas to surface design mismatches and interoperability issues deterministically.

ACSet comparison applies abstract algebraic structures to quantify schema similarity, versioning dynamics, and migration reversibility. Use it when migrating between storage systems or assessing whether schema changes preserve data integrity.

Yes. Irreversibility detection identifies append-only chains and lossy transformations during migration. Run reversibility_summary() to flag which schema changes cannot be undone without data loss.

GF(3) trit assignments map validators, coordinators, and generators to schema elements via run_coloring_comparison(). This produces a color-coded semantic breakdown that clarifies component responsibility across schemas.

Yes. ACSets and Catlab are required dependencies. These provide the algebraic category theory infrastructure for 12-dimension schema comparisons and geometric morphism translation.

Persistent homology coverage measures topological density and structural stability of schema transformations, not just field-level differences. It reveals design fragility and dimensional collapse risks that line-by-line diffs miss.