Proof-Carrying Mathematical Discovery

Projection: AlphaEvolve generates programs and subjects them to automated evaluation; GPT-5.6 advances agentic coding and tool use. Mathematical discovery could adopt a stricter version of that loop, requiring machine-checkable proofs or executable verification with each candidate. The thesis fails wherever persuasive generation outruns an independent checker.

Why this idea is here

What the evidence establishes.

Google DeepMind documents an evolutionary coding agent that proposes programs and scores them with automated evaluators; OpenAI describes GPT-5.6 as advancing agentic coding, computer use, knowledge work, tool use, and token-efficient task completion. These are source-backed premises for this inference; they do not by themselves prove broad adoption or the eventual outcome.

Source ledger

Read the sources.

S01
AlphaEvolve
official research release / published 2025-05-14 / retrieved 2026-07-09
S02
GPT-5.6: Frontier intelligence that scales with your ambition
official model release / published 2026-07-09 / retrieved 2026-07-10

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