#Lean theorem prover
15 related articles
·3 min
Maxwell Conjecture Disproven: GPT Produces Counterexample That Shakes the Math World
GPT 5.6 allegedly constructed a counterexample disproving the long-standing Maxwell Conjecture. We analyze the conjecture, what the AI counterexample means, and the math community's cautious response.
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·3 min
AI Proves the Collatz Conjecture? Actually, a Lean Kernel Bug Was Exploited
An AI-generated Collatz Conjecture proof passed Lean's verifier by exploiting a kernel bug, not real math. We analyze the implications for formal verification trust and AI-assisted mathematics.
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·3 min
Implementing Zanzibar in Lean4: A Formally Verified Permission Engine for AI Projects
Deep dive into a Datalog permission DSL built on Google Zanzibar using Lean4 theorem prover. How formal verification strengthens AI permission management.
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·3 min
Discovering Cryptographic Vulnerabilities with Claude: A New Paradigm for AI-Assisted Security Research
How Anthropic's Claude assists in discovering cryptographic implementation vulnerabilities, analyzing AI's real capabilities and limitations in code review, side-channel detection, and protocol analysis.
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·3 min
Formally Verifying 3D CSG: Trusting 93 Lines of Specification Over Thousands of Lines of AI Code
Exploring how formal verification solves the trust crisis of AI-generated code. Through a 3D CSG project, learn why reviewing 93 lines of specification beats checking thousands of lines of AI code.
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Terence Tao on AI and Mathematics: For…
·4 min
Terence Tao on AI and Mathematics: Formal Proofs, Human-AI Collaboration, and the Road Ahead
Fields Medalist Terence Tao analyzes AI's impact on math research, discussing LLM-assisted proofs, Lean formal verification, large-scale collaboration, and the future of math education in the AI era.
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·3 min
Rocky: An Open-Source Coding Agent with Minimal Architecture and Native DeepSeek Integration
Rocky is a minimal, transparent open-source coding agent with a core loop under a few hundred lines of Python, native DeepSeek search, Research mode, and built-in SWE benchmarking for reproducible agent experiments.
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·2 min
GPT-5.6 Used 64 Sub-Agents to Tackle a Graph Theory Conjecture — How Far Are We from a Real Proof?
GPT-5.6 Soul Ultra used 64 parallel sub-agents to generate a proof draft for the Cycle Double Cover Conjecture in one hour. We break down the multi-agent pipeline and explain what's still missing before this counts as a real mathematical result.
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·2 min
Did GPT-5.6 Crack a 50-Year-Old Graph Theory Conjecture? A Full Evidence Chain Breakdown
GPT-5.6 Sol-Ultra reportedly proved the 50-year-old Cycle Double Cover conjecture in an hour. We break down the Prompt PDF, proof PDF, and Lean repository to help you evaluate the claim.
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Can AI Prove Mathematical Conjectures?…
·5 min
Can AI Prove Mathematical Conjectures? The Truth Behind the GPT-5.6 Incident and the Limits of Large Language Models
A PDF claiming GPT-5.6 Sol Ultra proved the Cycle Double Cover Conjecture sparked debate on Hacker News. We unpack the truth and the limits of LLMs in math proofs.
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·8 min
GPT-5.6 Hands-On: Farm Automation, Mathematical Breakthroughs, and End-to-End AI Execution
GPT-5.6 (Sol, Terra, Luna) hands-on testing: a Hokkaido farmer controls a greenhouse with AI, a NYC small business builds custom software, and a Polish mathematician breaks a 3-year problem. A deep dive into end-to-end autonomous execution.
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·7 min
The Prompt is the Platform: How AI Agents Deeply Participate in System Design and Specification
Resonate's founder proposes "The Prompt is the Platform": as AI agents generate production-grade implementations from abstract specs, engineers' value shifts to specification. A deep dive into deterministic simulation and forbidden-fruit debugging.
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Leanstral 1.5: AI-Assisted Formal Proo…
·3 min
Leanstral 1.5: AI-Assisted Formal Proofs, Making Lean Theorem Verification Accessible to All
Leanstral 1.5 combines LLMs with Lean theorem proving to lower the barrier to formal proofs. Explore its core value, technical approach, and how AI can make formal mathematics accessible to all.
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Tutorials·2 min
Terence Tao Uses Claude Code for Math Proof Review: Red Team Tasks More Valuable Than Blue Team
Terence Tao demos how Claude Code assists Lean math formalization through red team tasks: code review, style checking, and refactoring rather than proof generation.
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Research·2 min
A Major Breakthrough in AI Mathematical Reasoning: The Evolutionary Path from AlphaProof to Automated Theorem Proving
In-depth analysis of AI's latest milestones in mathematics, covering AlphaProof, automated theorem proving, and Chain-of-Thought reasoning, exploring impacts on AGI development.
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