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Contribute to UL Research

Universal Language is an open research program. We welcome contributions from mathematicians, linguists, cognitive scientists, and curious minds everywhere.

Ways to Contribute

Submit a Proof

If you've proven a conjecture or resolved an open problem, we want to hear from you. Your proof will be reviewed and, if validated, added to the formal foundations with full attribution.

  • • Format proofs using standard mathematical notation (LaTeX preferred)
  • • Include all lemmas and intermediate steps
  • • Reference prerequisite theorems from the existing corpus
  • • Clearly state any new definitions or axioms introduced

Propose a Framework

Some problems need new mathematical machinery before they can be solved. If you've identified a promising approach — even without a complete proof — share it.

  • • Describe the mathematical setting (category, space, algebra)
  • • Explain how it connects to the existing UL structure
  • • Identify what would need to be proven to close the gap
  • • Cite prior work in adjacent fields (if any)

Identify Connections

The UL touches many areas: differential geometry, category theory, linguistics, cognitive science, information theory. Connections to existing results can unlock progress.

  • • Link UL problems to established theorems in other fields
  • • Identify isomorphisms or analogies to known structures
  • • Suggest papers or textbooks that might inform solutions
  • • Translate problems into familiar mathematical language

Run Experiments

The most valuable contribution is independent replication. Running the causal-efficacy experiments on different models and sharing results advances the empirical foundation.

  • • Follow the pre-registered protocol exactly
  • • Use blind scoring with the provided rubrics
  • • Report both positive and null results
  • • Share raw data for meta-analysis

Submission Process

  1. 1

    Open a GitHub Issue

    Start by opening an issue in the Universal Language repository. Tag it with [Research] and the relevant problem ID.

  2. 2

    Provide Your Contribution

    Attach your proof, framework proposal, or experimental data to the issue. Use LaTeX for mathematical content (GitHub renders it).

  3. 3

    Review Process

    Contributions are reviewed for mathematical correctness and coherence with the existing framework. Expect questions and requests for clarification.

  4. 4

    Attribution

    Accepted contributions are credited by name in the relevant documentation. Significant contributions (closing a major gap) receive authorship on expedition reports.

Attribution Policy

We believe in giving credit where it's due. All contributors are acknowledged based on the nature of their contribution:

Contribution TypeAttribution
Proof of theorem/conjectureNamed credit on theorem ("Proven by [Name]")
Framework contributionAcknowledged in expedition report, changelog
Major gap closureCo-authorship on expedition report
Experiment replicationListed in replication registry, data credited
Bug fix / correctionAcknowledged in changelog

Research Ethics

We are committed to honest, rigorous research. This means:

  • Accuracy over speed — We prioritize correct results over quick claims.
  • Transparency about limitations — We clearly mark conjectures and acknowledge gaps.
  • Openness to criticism — We welcome challenges to our claims and methodology.
  • Credit where due — We acknowledge prior work and never misattribute ideas.

Ready to contribute? Pick an open problem and get started.

Browse Open Problems →