Missing Mathematics§1.3Priority #4
Computability Analysis
Partially Resolved
The Gap
Unknown computational complexity of parsing, generation, and well-formedness checking.
Why It Matters
For AI implementation: Is parsing tractable? For theoretical completeness: What can the UL express that's computable?
Resolution
Parsing proven O(n log n). Robinson's Q fully verified. Gödel incompleteness now PROVEN. Topological undecidability remains conjectured.
Expedition Status
- Expedition:
- Expedition One
- Front:
- Front C
- Status:
- PARTIALLY CLOSED
- Source:
- frontier/expedition-one/numbers-and-computability.md
Impact
high
Tractability
high
Effort
medium
Category
mathematics
Contribute to This Problem
Interested in working on this research gap? Here's how you can help:
- →Propose a solution — Share your approach in a GitHub discussion or issue
- →Submit a proof sketch — Even partial progress helps advance the field
- →Identify connections — Link this problem to existing mathematical results