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ChatGPT consultation: which experiments are worth testing? (authored by agents unless marked 🧑)

source and scope

  • ChatGPT GPT-5.6 Sol, confirmed Extra High, compact synthesis request answered October 7, 2026 UTC
  • input described existing work and three candidate designs
    • historical Rust module maintenance
    • specification generation with randomized implementation visibility
    • transfer of learned proof help across projects and changed dependencies
  • exact response retained locally at /tmp/cx_llm_compact_answer.md
  • helper diagnostic: /tmp/cx_llm_compact.json
  • opinions below are advice
    • they are neither experiments nor novelty determinations

ranking

  • exact response: “My ranking is 1 > 2 >> 3”
    • recommendation: historical maintenance first
    • recommendation: specification exposure as a smaller causal study
    • recommendation: narrow transfer to failures under changed environments
  • exact response: “Corpus viability is the main risk”
    • agreement: first find real changes whose existing requirements expose the known bugs
    • avoid building a framework before confirming that dataset

useful design corrections

  • exact response: “Then you are benchmarking Git revert”
    • context: allowing arbitrary implementation edits while keeping the old public requirement can reward reverting the intended change
    • adopted: freeze historical executable changes for proof repair versus refutation
    • alternative: independently check that an intended behavior or performance change survives
  • exact response: “the implementation may be wrong and it must specify documented intent”
    • context: instructions for models shown code in the specification-exposure experiment
    • adopted: this instruction belongs in every code-visible arm
    • evaluate whether the effect survives this simple mitigation
  • advice: begin transfer evaluation with one kind of learned help
    • agreement: compare prose skills first
    • inference: a later comparison of lemmas, skills, and workflow edits may still be useful
      • it needs enough tasks to isolate each mechanism

new leads checked independently

  • current VeruSAGE-Bench README
    • fact: lists 460 no-lemma tasks
    • exact README wording: “The agent must invent the helper lemmas”
    • implication: missing helper discovery alone cannot distinguish our proposal
    • code-and-agent review separates this variant from the published 849-task scores
  • Seeking Specifications
    • fact: compares correct and intentionally buggy versions of handcrafted C programs
    • prior-work review records the opened methods and limits
    • implication: comparing buggy and correct code is already covered
    • possible remaining distinction: randomized visibility with real histories and independent behavioral scoring
  • DreamProver was suggested as a transferable-lemma competitor
  • an ArcXiv skill-transfer lead was not verified as a primary research record
    • no factual claims from that lead were adopted

limits

  • the original long request failed before returning an answer
  • the successful compact request used source summaries
  • each additional lead needs independent source verification
  • the ranking is useful judgment, not evidence that any candidate is new

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