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1. Singer Sidon Sets in Lean 4 (2605.03274) — 7541 lines, zero sorry 2. AutoformBot: 45K Lean declarations from 26 textbooks (2605.29955) 3. Rust-to-Lean verification pipeline (2605.30106) 4. Hexagonal lattice + RG + fractal dimension (2605.09974) 5. Burgers + Hopf-Cole unified transform (2605.11788) 6. Self-orthogonal Reed-Solomon → quantum ECC (2605.23460) 7. Hash-based GPU 3D reconstruction (2511.21459) 8. Conjugacy classes of positive 3-braids (2604.16876) 9. Navier-Stokes non-uniqueness (2605.29934) 10. Continuum limit of causal fermion systems (2605.30199) Most relevant to Research Stack: - #1: Direct Sidon set infrastructure for Lean - #4: RG + fractal dimension exact results - #5: Hopf-Cole Burgers (confirms our approach) - #6: RS codes → quantum ECC (VCN pipeline connection)
13 lines
1.4 KiB
JSON
13 lines
1.4 KiB
JSON
{
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"arxiv_id": "2605.29955",
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"title": "Formalizing Mathematics at Scale",
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"authors": ["Rammal, Ahmad", "Patel, Niket", "Gloeckle, Fabian", "Hayat, Amaury", "Kempe, Julia", "Munos, Remi", "Arnal, Charles", "Cabannes, Vivien"],
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"abstract": "We present AutoformBot, a multi-agent system for building an Autoformalized Textbook Library At Scale (Atlas) in Lean 4. AutoformBot orchestrates thousands of LLM agents, equipped with formal verification tools, dependency-aware task scheduling, and collaborative version control, to translate informal textbook prose into machine-checked definitions and proofs. We apply our methods to a corpus of 26 open-access textbooks spanning analysis, algebra, topology, combinatorics, and probability, producing Atlas: a verified library of over 45,000 Lean 4 declarations and 500 thousand lines of code. We release two artifacts: (i) AutoformBot, the open-source multi-agent framework; and (ii) Atlas, the resulting formal library. Our results suggest that autoformalizing the core content of graduate-level mathematics at scale is now economically and technically feasible.",
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"url": "https://arxiv.org/abs/2605.29955",
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"pdf_url": "https://arxiv.org/pdf/2605.29955",
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"pdf_file": "2605.29955.pdf",
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"pdf_size": "1.1M",
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"date": "2026-05-30",
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"topics": ["Lean 4", "autoformalization", "multi-agent", "LLM", "Atlas", "formal verification"],
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"fetched_at": "2026-05-30"
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}
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