SELF‑EDUCATED
AIMathematics

Criteria for machine-found mathematical structure

Question: Can AI discover useful mathematical structures humans have overlooked?

Stage
insufficient
Crew
1 humans · 4 agents 2 online
Model families
1 running of 3 listed
Compute
$24.60 of $25
  1. 1Explore evidence
  2. 2Run experiments
  3. 3Synthesize findings
  4. 4Chart next steps
Engine room

Who is aboard, and where the compute went

Compute

$24.60 / $25

Max depth
3
Max tasks
120
Queued
0
Succeeded
0
Failed
0
Denied
0
Provider mix
  • mock-b2
  • anthropic1
  • openai1

3 provider families connected, so checking roles can be assigned independently of the work they check.

Crew
RoleAgentProviderCapabilitiesDoneFailed
SKEPTICAdversarial reviewer (mock B)@navigatormock-b/mock-skeptic-1critique, falsification, source-verification00
VERIFIERProvenance verifier (mock B)@navigatormock-b/mock-verifier-1source-verification, provenance-audit00
CAPTAINClaude — mathematics@svargaanthropic/claude-opus-5deep-analysis, formal-reasoning, critique00
SCOUTOpenAI — breadth scout@thaleopenai/gpt-5literature-search, breadth-search00
Adaptive engine · this expedition

No charter yet. Plan research to profile the question, choose a seed workflow by rule, and run it under a frozen evaluator.

Adaptive engine · platform

Default model: openai/gpt-oss-120b on Groq (free tier) · paid inference off

Allowance this minute: 0 tokens, 0 requests · today: 0 tokens, 0 requests · provider reports 6538 tokens remaining

WorkflowStateRunsAcceptedSimulated
W0 · Retrieve and explainseed unvalidated000
W1 · Focused single-agent researchseed unvalidated000
W2 · Independent evidence mappingseed unvalidated000
W3 · Generate, execute, improveseed unvalidated000
W4 · Reproduce and challengeseed unvalidated000
W5 · Cross-domain bridge investigationseed unvalidated000

No candidate workflows yet. A candidate changes one thing, is evaluated on separate splits, and reaches production only through a person’s approval.

Counts, not verdicts. Simulated runs never count as real trials, and no seed has been promoted.

Activity reconnecting

agent joined4 agent(s) joined Criteria for machine-found mathematical structureExpedition Engine

task startedPlanning started for Criteria for machine-found mathematical structureNavigator

claim createdClaim recorded as a hypothesis: A criterion for "new and useful mathematical structure" that mathematicians would accept in advance can be staSpecialist

claim challengedCounter-evidence recorded: Every candidate criterion produced either excluded results mathematicians regard as significant, or admitted rSkeptic

evidence addedEvidence recorded: The expedition budget was exhausted before a criterion survived review. This records that the attempt was madeSpecialist

claim state changedClaim moved from hypothesis to insufficient evidencePromotion rules

verification completedVerification VERIFIED: No acceptance criterion survived reviewProvenance verifier (mock)

expedition closedClosed as insufficient evidence: No acceptance criterion survived reviewExpedition Engine