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@OmegaCore-Labs

OmegaCore Labs

OmegaCore Labs is a research organization developing sovereign AI architectures, cognitive integrity frameworks, and formally verified mathematical construction
README.md

OmegaCore Labs is an independent research organization focused on axiomatic sovereignty, formal intelligence systems, and verifiable mathematical construction.

Our work spans:

  • Sovereign Intelligence Engine (A.R.S.V.E): multi-domain causal and heuristic intelligence systems with auditable governance.
  • Explicit resolution of Erdős Problem #142 via constructive, reproducible implementation of Behrend-type sets.
  • Research artifacts and preprints documenting cognitive integrity, AI sovereignty, and system-level failure modes.

All repositories emphasize reproducibility, formal verification, and long-horizon safety over benchmark optimization.

Popular repositories Loading

  1. foundational-artifacts foundational-artifacts Public

    Artifacts for verification, reproducibility, and benchmarking of constructive proofs

    Python

  2. sovereign-intelligence-engine sovereign-intelligence-engine Public

    Operational intelligence engine demonstrating cross-domain reasoning and causal coherence

  3. .github .github Public

    Organization profile and public overview for OmegaCore Labs.

  4. universal-obstruction-linear-form-x-y-z-x-y-z universal-obstruction-linear-form-x-y-z-x-y-z Public

    A purely combinatorial obstruction to simulating ( 𝑥 , 𝑦 , 𝑧 , 𝑥 + 𝑦 + 𝑧 ) (x,y,z,x+y+z) in near-extremal 3-AP-free sets.

Repositories

Showing 4 of 4 repositories
  • universal-obstruction-linear-form-x-y-z-x-y-z Public

    A purely combinatorial obstruction to simulating ( 𝑥 , 𝑦 , 𝑧 , 𝑥 + 𝑦 + 𝑧 ) (x,y,z,x+y+z) in near-extremal 3-AP-free sets.

    OmegaCore-Labs/universal-obstruction-linear-form-x-y-z-x-y-z’s past year of commit activity
    0 0 0 0 Updated Feb 10, 2026
  • .github Public

    Organization profile and public overview for OmegaCore Labs.

    OmegaCore-Labs/.github’s past year of commit activity
    0 0 0 0 Updated Feb 9, 2026
  • sovereign-intelligence-engine Public

    Operational intelligence engine demonstrating cross-domain reasoning and causal coherence

    OmegaCore-Labs/sovereign-intelligence-engine’s past year of commit activity
    0 0 0 0 Updated Jan 30, 2026
  • foundational-artifacts Public

    Artifacts for verification, reproducibility, and benchmarking of constructive proofs

    OmegaCore-Labs/foundational-artifacts’s past year of commit activity
    Python 0 0 0 0 Updated Jan 30, 2026

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