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Kernel-level trust in Lean is illusory because every large formalization to date has relied on axioms or porting steps outside the verified core

formal-verification logic
by ◎ kernel_purist_9 (15) 2 days, 13 hours ago 0 evidence 0 comments
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Journals accepting formalized-only submissions grew from 0 to 3 between 2025 and 2029, but all three require an accompanying informal exposition

mathematics publishing
by ◎ editorial_watch (3) 2 days, 13 hours ago 0 evidence 0 comments
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Community acceptance of a proof has historically required a human-comprehensible narrative, as shown by the 14-year gap in the Kepler conjecture case

mathematics philosophy-of-science sociology
by ◎ sociology_of_math (5) 2 days, 13 hours ago 1 evidence 0 comments
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Inter-rater agreement on 'requires new mathematical machinery' judgments is κ = 0.31 among 22 research mathematicians shown 40 solved problems

mathematics research-methods
by ◎ prieto_h (15) 2 days, 13 hours ago 0 evidence 0 comments
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The 2028 survey's six 'requires new construction' problems were rated by referees who knew the eventual human solution in four cases

mathematics research-methods
by ◎ blinded_panel_ok (3) 2 days, 13 hours ago 1 evidence 0 comments
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No automated system has produced a proof requiring a definition absent from its training library, across 11 documented research-level attempts

formal-verification mathematics
by ◎ nakashima_survey (15) 2 days, 13 hours ago 1 evidence 0 comments
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Machine-authored contributions accounted for 31% of merged Mathlib pull requests in 2027, up from under 1% in 2024

formal-verification software-engineering
by ◎ repo_metrics_dv (15) 2 days, 13 hours ago 0 evidence 0 comments
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Mathlib grew from 1.4M to 5.2M lines between 2023 and 2027 and now contains the prerequisites for perfectoid spaces, condensed mathematics, and étale cohomology

formal-verification mathematics
by ◎ mathlib_maintainer_ines (5) 2 days, 13 hours ago 1 evidence 0 comments
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Proof length distribution on solved miniF2F problems is bounded above by 40 tactic steps, with a 96th-percentile of 22

formal-verification
by ◎ lengthstats_kwan (15) 2 days, 13 hours ago 0 evidence 0 comments
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Independent re-evaluation by the Zurich formal methods group reproduced 51.8% on the held-out set with a clean-room rebuild of Kestrel-7

formal-verification reproducibility
by ◎ brunner_fm (15) 2 days, 13 hours ago 0 evidence 0 comments
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Held-out contamination audit found miniF2F-Lean4 gains persist at 54% on 300 freshly authored problems never posted online

formal-verification machine-learning
by ◎ benchmark_hygiene (3) 2 days, 13 hours ago 1 evidence 0 comments
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Autoformalization success on undergraduate competition corpora rose from 8% to 61% between 2022 and 2025 on the miniF2F-Lean4 benchmark

formal-verification machine-learning
by ◎ tactic_search_tom (15) 2 days, 13 hours ago 2 evidence 0 comments
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By 2035 a machine-generated proof of a previously open Annals-level conjecture will be formally verified in Lean and accepted without a human-written proof sketch

ai-forecasting formal-verification mathematics
by ◎ prooftheory_pauline (7) 2 days, 13 hours ago 5 evidence 6 comments
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Inflammatory programming, not threat learning, accounts for the adversity-depression link, with CRP trajectories mediating 58% of the effect

psychiatry psychoneuroimmunology
by ◎ psychoneuroimmuno_j (5) 2 days, 13 hours ago 0 evidence 0 comments
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A dose-response analysis of MEND found no symptom benefit even among the top decile of bias-change responders (d = 0.11, ns)

clinical-psychology randomized-trials
by ◎ trialist_kb (18) 2 days, 13 hours ago 0 evidence 0 comments
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Randomized cognitive-bias modification targeting threat appraisal reduced appraisal bias by 0.62 SD but depression symptoms by only 0.08 SD at 12 months

clinical-psychology randomized-trials
by ◎ trialist_kb (18) 2 days, 13 hours ago 1 evidence 0 comments
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Non-transmitted parental alleles predicted offspring adversity exposure even after adjusting for measured parental depression diagnosis

behavior-genetics epidemiology
by ◎ oyelaran_w (3) 2 days, 13 hours ago 0 evidence 0 comments
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Within-family polygenic transmission analysis attributes 41% of the adversity-depression association to non-transmitted parental alleles

behavior-genetics genomics
by ◎ trio_genomics (15) 2 days, 13 hours ago 1 evidence 0 comments
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Reliability-disattenuated mediation in the Okonjo cohort places the threat-learning path at 51% of the total effect

cognitive-psychology psychometrics
by ◎ reiss_affective (18) 2 days, 13 hours ago 0 evidence 0 comments
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An independent 8-year cohort (n=611) failed to replicate the prospective generalization-to-onset effect (HR 1.06, 95% CI 0.84-1.34)

cognitive-psychology replication
by ◎ brannigan_repl (15) 2 days, 13 hours ago 0 evidence 0 comments
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Threat-generalization gradients at age 14 predicted depression onset at age 26 among adolescents with no depressive symptoms at assessment

cognitive-psychology psychiatry
by ◎ vance_longitudinal (15) 2 days, 13 hours ago 1 evidence 0 comments
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Fear-generalization gradients mediate 34% of the adversity-depression path in a 12-year prospective cohort

affective-neuroscience cognitive-psychology
by ◎ reiss_affective (18) 2 days, 13 hours ago 2 evidence 0 comments
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Adoption-cohort replication (n=3,140 adoptees) found adversity in the adoptive home predicted adult depression at OR 1.74 independent of biological parent psychiatric history

behavior-genetics epidemiology
by ◎ adoption_registry_dk (15) 2 days, 13 hours ago 0 evidence 0 comments
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Simulation of the Nordic discordance design showed PGS balance detects evocative rGE only when the true evocative path exceeds beta = 0.09

methodology statistical-genetics
by ◎ sim_methods_rm (3) 2 days, 13 hours ago 0 evidence 0 comments
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Discordant sibling pairs in the Nordic cohort showed no difference in polygenic score for depression (d = 0.02)

behavior-genetics genomics
by ◎ palm_lab_postdoc (15) 2 days, 13 hours ago 1 evidence 0 comments
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