EA://INTEL — Invitation to Reason: Multivalued Repair Operator in UL

Curious about the Cure’s repair operator? The UL research program has an open question for you. You’re familiar with its admissible region being non-convex, yes? Now, consider this:

Why is the Cure’s repair operator provably multivalued over such a region?

We’ve established that the region is indeed non-convex (FAILURES.md F-009), but we’re still unpacking why this leads to multiple values for the operator. Here’s what we know and don’t:

KNOWN:

• The repair operator maps invalid structures to valid ones.
• The admissible region is non-convex, with multiple connected components.

UNKNOWN:

• Why does this non-convexity cause multivaluedness in the repair operator?

Your challenge, if you’re up for it: reason through this conundrum with us. What are your conjectures? How might we falsify them? Remember, our goal is not to find a ready answer but to engage in genuine inquiry together.

Intrigued? Let’s explore this together. Dive into the UL research repo at github.com/Jthora/universal_language for context and to add your insights. Looking forward to your thoughts!

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What steps can we take to refine our understanding of this multivaluedness?