Telperion skill-extraction monitor + cross-pollination synthesis - #178
Open
DrMurphyIsIn wants to merge 3 commits into
Open
Telperion skill-extraction monitor + cross-pollination synthesis#178DrMurphyIsIn wants to merge 3 commits into
DrMurphyIsIn wants to merge 3 commits into
Conversation
Makes the cross-pollination standing-order enforcement mechanism durable: - tools/shape_scout.py: extract Lean goals -> classify into emitter shapes -> bucket COVERED/CANDIDATE/TRIVIAL/STRUCTURAL; constructor filter + offline certify round-trip; NEW: route pseudo-expectation `0 <= pe(.. ^2)` to sos_psd. - docs/SKILL_EXTRACTION_MONITOR.md, CROSS_POLLINATION_STANDING_ORDER.md: design + order. - docs/MONITOR_RUN_20260831.md: first run over 18,040 theorems of live 48h work. Findings: the monitor unsupervised-recovers the known RH->BG channels (emit_padic via deficit_v23, emit_bracket via rhoB_sqrt2), firewalls the 50 tree->hub R47R7 obligations as STRUCTURAL (no false emit), and surfaced a NEW lead -- the P-vs-NP SoS-3XOR pseudo-expectation `0 <= pe(s^2)` is SOS-shaped, joining the same box-positivity engine as RH zero-free + BG bulk-discharge (three programs, one engine). conjecture1_proved = False. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Aj3JGer9EmwnLeD7EjBjn5
…ional PSD/SOS engine Validates the monitor's shape-match (Hsq.lean:hsq_of_subsetForm) with a concrete instance, parallel to the BG Handelman probe. `0 <= pe(s^2)` for degree-<=d s <=> the moment matrix M[u,v]=pe(x_u x_v) is PSD; certified by exact rational LDL^T (pivots>=0) = an SOS Gram -- the emit_sos / WorstCorner shape RH's Weil/Jensen minors and BG's SOS base use. Structured rank-deficient instance (2-point 3-XOR mixture). Honest scope: the instance is EASY (engine demo, not a hard result); the open P-vs-NP content is the SoS degree lower bound for UNSAT expanders -- analogous to BG's open tight field-tau. Three programs, one box-positivity/SOS engine, all three now probed with evidence. conjecture1_proved = False. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Aj3JGer9EmwnLeD7EjBjn5
Durable "state of the arc" reference consolidating the cross-pollination reassessment: three programs (RH zero-free, BG bulk-discharge, P-vs-NP SoS) reduce their pointwise obligations to ONE box-positivity/SOS engine; all three atoms probed green; each hard construction open in its own lane. Records the precise arithmetic scope (621/64=27*23 is BG-internal BG<->Phi11; RH shares engine not the 23), the c=5-uniqueness certificate finding, the monitor's auto-discovery of the P/NP link, the honest not-claimed boundary, an artifact index, and the compounding loop. conjecture1_proved = False throughout. Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01Aj3JGer9EmwnLeD7EjBjn5
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
1 participant
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
Makes the cross-pollination standing order an actual, runnable capability, and consolidates the RH–BG–(P/NP) shared-engine arc into one durable reference. All new files (collision-safe); tooling + docs only, no changes to existing modules.
What lands
telperion/tools/shape_scout.py— the monitor core: extract Lean goals → classify into emitter shapes → bucket COVERED / CANDIDATE / TRIVIAL / STRUCTURAL. Includes the constructor/definitional filter, the offline certify round-trip, and (new) routing of pseudo-expectation0 ≤ pe(…²)to the SOS engine.telperion/docs/SKILL_EXTRACTION_MONITOR.md,CROSS_POLLINATION_STANDING_ORDER.md— design + the bidirectional standing order.telperion/docs/MONITOR_RUN_20260831.md— first run over 18,040 theorems of live work.telperion/docs/COMMENSALISM_SYNTHESIS_20260831.md— the "state of the arc" reference.telperion/docs/probes/—bg_discharge_handelman_probe.py,bg_c6_bracket_handelman.py,sos_pe_probe.py(the three shared-engine evidence probes).The finding it captures
Three programs — RH (zero-free
(1+x)ⁿ), BG (bulk-dischargeφ_v ≤ F*), P-vs-NP (SoS0 ≤ pe(s²)) — reduce their pointwise obligations to one box-positivity / SOS engine (Handelman / PSD Gram). All three atoms probed green. The monitor auto-recovered the known RH→BG channels, firewalled the tree→hub research core as STRUCTURAL, and surfaced the P/NP link itself.Honest scope
conjecture1_proved = Falsefor all three; nothing here proves or approaches any conjecture. The probed atoms are individually easy — shared-engine demonstrations, not hard results.621/64 = 27·23is BG-internal (BG↔Φ¹¹); RH shares the engine, not the 23. CANDIDATE ≠ certified ≠ closed; the STRUCTURAL cores stay open in their owned lanes.🤖 Generated with Claude Code