UOR Foundation
Universal Object Reference — a formal ontology for content-addressed, algebraically-structured object spaces.
Ontology Inventory
34 namespaces · 474 classes · 947 properties · 3601 named individuals
The Resolution Pipeline
Define
Declare types with constraints that pin sites of the Z/2Z fibration.
Resolve
Factorize under D_{2^n}, classify into partition components, measure observables.
Certify
Attest the result with a verification hash and replayable computation trace.
Where to Start
The UOR Foundation ontology is a formal mathematical framework. Choose a path based on what you want to learn:
Understand the Mathematics
Start with the algebraic substrate and build up to the full type system.
See the Pipeline
Understand how the Define \u{2192} Resolve \u{2192} Certify pipeline works end to end.
Browse the Reference
Jump straight into the formal ontology artifacts and namespace documentation.
Featured Namespaces
UOR Content Addressing
https://uor.foundation/u/
Content-addressable identifiers for ring elements. Each element carries a unique content-derived identifier.
- Classes
- 1
- Properties
- 6
- Individuals
- 0
UOR Schema
https://uor.foundation/schema/
Core value types and term language for the UOR ring substrate. Defines Datum (ring element), Term (syntactic expression), and the Ring container.
- Classes
- 22
- Properties
- 35
- Individuals
- 1974
UOR Operations
https://uor.foundation/op/
Ring operations, involutions, algebraic identities, and the dihedral symmetry group D_{2^n} generated by neg and bnot.
- Classes
- 19
- Properties
- 43
- Individuals
- 696
UOR Partitions
https://uor.foundation/partition/
Irreducibility partitions produced by type resolution. A partition divides the ring into four disjoint components: Irreducible, Reducible, Units, and Exterior.
- Classes
- 15
- Properties
- 33
- Individuals
- 4
UOR Proofs
https://uor.foundation/proof/
Kernel-produced verification proofs attesting to algebraic properties of UOR objects and operations.
- Classes
- 17
- Properties
- 30
- Individuals
- 678
UOR Certificates
https://uor.foundation/cert/
Kernel-produced attestation certificates for transforms, isometries, and involutions. Each certificate verifies that a specific structural property holds.
- Classes
- 18
- Properties
- 32
- Individuals
- 0