UOR Foundation

Universal Object Reference — a formal ontology for content-addressed, algebraically-structured object spaces.

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Ontology Inventory

14 namespaces · 82 classes · 119 properties · 14 named individuals

Namespaces

UOR Content Addressing

https://uor.foundation/u/

Content-addressable identifiers represented as Braille strings. Each address is a sequence of Braille glyphs encoding a unique content-derived identifier.

Classes
2
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4
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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
6
Properties
13
Individuals
2

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
7
Properties
13
Individuals
12

UOR Queries

https://uor.foundation/query/

Information extraction queries. Users initiate queries; the kernel resolves them against the ring substrate.

Classes
4
Properties
3
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0

UOR Resolvers

https://uor.foundation/resolver/

Type resolution strategies implementing the partition map Π : T_n → Part(R_n). Resolvers transform type declarations into ring partitions.

Classes
4
Properties
4
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UOR Type System

https://uor.foundation/type/

Runtime type declarations that parameterize the resolution pipeline. Types are declared by Prism applications and resolved to partitions of the ring.

Classes
5
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5
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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
6
Properties
9
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0

UOR Observables

https://uor.foundation/observable/

Observable quantities and metrics computed by the UOR kernel. Includes ring-metric, Hamming-metric, curvature, holonomy, and catastrophe-theoretic observables.

Classes
26
Properties
4
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UOR Proofs

https://uor.foundation/proof/

Kernel-produced verification proofs attesting to algebraic properties of UOR objects and operations.

Classes
4
Properties
11
Individuals
0

UOR Derivations

https://uor.foundation/derivation/

Computation witnesses recording term rewriting sequences from original terms to their canonical forms.

Classes
3
Properties
10
Individuals
0

UOR Computation Traces

https://uor.foundation/trace/

Execution traces recording the sequence of kernel operations, intermediate results, and accumulated metrics for a computation.

Classes
3
Properties
11
Individuals
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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
4
Properties
6
Individuals
0

UOR Transforms and Morphisms

https://uor.foundation/morphism/

Runtime abstractions for maps between UOR objects: transforms, isometries, embeddings, and group actions. The foundation provides the vocabulary; Prism writes the sentences.

Classes
4
Properties
10
Individuals
0

UOR State

https://uor.foundation/state/

Parameterized address spaces, context management, binding lifecycle, and state transitions. The user-space overlay onto the kernel's read-only ring substrate.

Classes
4
Properties
16
Individuals
0