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New paths through mathematics.

FunSearch combined language models with program evaluation to discover mathematical constructions.

Maturity
Demonstrated, stage 3 of 4
Support
1 source · paper
Evidence detail
How we know ↓

Some combinatorial problems have vast search spaces.

Researchers develop and evaluate candidate constructions.

Generated programs were tested, selected, and iteratively improved.

What was shown, and what wasn’t

Shown

The study found new constructions for the cap set problem and useful packing heuristics.

Not shown · limits

  • The approach depends on an evaluator; it is not a general proof engine.

Bright editorial interpretation

Researchers gained an additional experimental tool.

Still open

Apply verifiable search to other suitable problems.

How we know1 source · checked 2026-09-05 · no corrections

Original sources

  1. Mathematical discoveries from program search with large language models ↗ · paper

Institutions: Google DeepMind

Maturity
Demonstrated
Source published
2023-12-14
Last source review
2026-09-05
Editorial method
Original source check
Place / relevance
London, United Kingdom · institution-location

Bright compared this account with the linked original and supporting sources and kept reported, budgeted, projected, and observed claims distinct. Bright did not independently audit the underlying records.

Maturity describes the tested or operational setting. Confidence describes support for the particular claim; one does not determine the other.

Revision & correction history

No corrections recorded.

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Explore the shared question in another setting. These connections do not imply replication.

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