UOR Foundation
Universal Object Reference — a formal ontology for content-addressed, algebraically-structured object spaces.
Ontology Inventory
33 namespaces · 441 classes · 891 properties · 3356 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
- 21
- Properties
- 32
- Individuals
- 1878
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
- 42
- Individuals
- 663
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
- 11
- Properties
- 28
- Individuals
- 0
UOR Proofs
https://uor.foundation/proof/
Kernel-produced verification proofs attesting to algebraic properties of UOR objects and operations.
- Classes
- 16
- Properties
- 27
- Individuals
- 656
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
- 13
- Properties
- 26
- Individuals
- 0