#Coq
52 related articles
·3 min
Evaluating Open-Source AI Mathematical Reasoning: Latest Progress and Core Challenges
In-depth analysis of open-source AI models' latest progress in mathematical reasoning, exploring evaluation challenges like data contamination and benchmark saturation, and how formal verification and chain-of-thought methods drive more objective assessment.
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·3 min
ARYA: Building a Voice AI Assistant That Controls Real Applications from Scratch
Developer builds ARYA, a voice AI assistant that controls real apps like WhatsApp and Spotify with vector memory. Deep dive into its technical implementation, AI Agent trends, and opportunities for builders.
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·3 min
OpenAI's Internal Model 'Astra' Leaked: Ten Advances in Mathematics Spark Heated Discussion in the AI Community
Reddit leaks OpenAI's internal model codenamed Astra, claiming ten advances in math and theoretical CS. We analyze the rumor's credibility and its implications for AI reasoning.
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·2 min
Decoding the OpenAI Astra Rumors: Can AI Conquer Frontier Mathematics?
OpenAI's internal model Astra reportedly achieved 10 breakthroughs in math and theoretical CS. We analyze the rumors, compute infrastructure trends, real AI research assistant experiences, and AI's limits in original research.
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·3 min
Ollama + Qwen-Agent: Building a Local Private AI Assistant — From Deployment to Security Best Practices
A complete guide to building a local private AI assistant with Ollama and Qwen-Agent. Covers RAG knowledge integration, voice interaction, and permission isolation for a secure local AI Agent architecture.
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·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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·2 min
AI Cracks a 35-Year-Old Math Problem: Discovering an Unexpected New Term
The Theo Conjecture, unsolved for 35 years, has been cracked with an unexpected new term discovered. Exploring AI's evolving role in pure math research.
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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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·2 min
HuggingFace Open-Source Voice Assistant: A Complete Guide to Local Deployment
A deep dive into HuggingFace's speech-to-speech open-source project, covering its modular VAD, STT, LLM, and TTS pipeline architecture and the advantages of local deployment for privacy, cost, and latency.
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·7 min
Auditing Cryptographic Libraries with AI: What We Found in Cloudflare's CIRCL
An in-depth look at using AI LLMs to audit Cloudflare's open-source cryptographic library CIRCL, covering constant-time detection, side-channel vulnerabilities, and human-AI collaboration.
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·2 min
Symbolic AI and Neural Networks: A Systematic Learning Path and Core Mathematical Tools
A deep dive into symbolic vs. neural AI paradigms — exploring type theory, category theory, and algebraic geometry as mathematical bridges toward neuro-symbolic integration.
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·3 min
Can GPT-5.6 Prove a 50-Year Graph Theory Conjecture? The Boundaries and Verification of AI Mathematical Reasoning
GPT-5.6 Soul Ultra claims to prove the 50-year-old Cycle Double Cover Conjecture in under an hour using 64 parallel agents. We examine the technical path, missing peer review, and formal verification gaps.
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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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·3 min
GPT-5.6 Proves 50-Year Graph Theory Conjecture in Under an Hour — A Milestone for AI Mathematical Reasoning
GPT-5.6 Soul Ultra proves the 50-year-old Cycle Double Cover Conjecture in under an hour. Plus: BCI clinical breakthrough, Apple vs. OpenAI, xAI privacy concerns, and EU dark pattern rules.
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·2 min
The Electronic Ghost in Your Pocket: A Deep Dive into Physical AI Companion Devices
A deep dive into the physical AI companion device "Amis": combining personalized character design, emotional dialogue, and daily assistant features to explore how AI hardware fills modern emotional needs.
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·2 min
Can AI Really Solve Hard Math Problems? A Rational Look at LLM Research Breakthroughs
Claims that GPT solved "unsolved math problems" keep going viral, but do they hold up? A deep dive into LLMs' real problem-solving ability, hallucinations, and verification standards.
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