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Show HN: Formally verified polygon intersection – Opus 4.8 oneshots, prev failed
The first formally verified implementation of a polygon intersection algorithm, demonstrating the advanced capabilities of AI agents (Opus 4.8) in generating complex algorithms with formal proofs in a single pass.
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The first formally verified implementation of a polygon intersection algorithm, demonstrating the advanced capabilities of AI agents (Opus 4.8) in generating complex algorithms with formal proofs in a single pass.
This submission showcases a formally verified polygon intersection algorithm, a critical component for high-assurance geometric computing. The key insight for B2B SaaS is the demonstration of advanced AI agent capabilities (Opus 4.8) in generating complex algorithms with formal proofs in a single pass. This signifies a paradigm shift in software development, where AI moves beyond code generation to assist in formal verification, enhancing reliability and reducing human effort in critical systems. While trust remains with the "Lean checker and human review," the AI's role in accelerating the proof process is profound. This trend indicates a future where AI agents become integral to developing provably correct, high-integrity software, particularly in domains requiring extreme precision and reliability.
To my knowledge, this is the first formally verified implementation of an intersection algorithm for polygons.The experience of working with AI agents on this project changed a lot with recent model releases, as I describe in the readme. Opus 4.8 is able to provide algorithm implementation with formal proof in one shot, whereas previous models required me to provide proof strategies in multiple steps.Trust in the correctness comes entirely from the Lean checker and human review of a small specification, not from the LLM.Also check out the web demo built around the verified core linked in the readme: https://schildep.github.io/verified-polygon-intersection/. It supports multipolygons including holes, self intersections, and overlapping edges.
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What is Formally verified polygon intersection – Opus 4.8 oneshots, prev failed?
Formally verified polygon intersection – Opus 4.8 oneshots, prev failed is analyzed by our AI as: The first formally verified implementation of a polygon intersection algorithm, demonstrating the advanced capabilities of AI agents (Opus 4.8) in generating complex algorithms with formal proofs in a single pass.. It focuses on This submission showcases a formally verified polygon intersection algorithm, a critical component for high-assurance geometric computing. The key ...
Where did Formally verified polygon intersection – Opus 4.8 oneshots, prev failed originate?
Data for Formally verified polygon intersection – Opus 4.8 oneshots, prev failed was aggregated directly from the Hacker News community ecosystem, representing raw developer and early-adopter sentiment.
When was Formally verified polygon intersection – Opus 4.8 oneshots, prev failed publicly launched?
The initial public indexing or launch date for Formally verified polygon intersection – Opus 4.8 oneshots, prev failed within our tracked developer communities was recorded on June 5, 2026.
How popular is Formally verified polygon intersection – Opus 4.8 oneshots, prev failed?
Formally verified polygon intersection – Opus 4.8 oneshots, prev failed has achieved measurable traction, logging over 45 traction score and facilitating 13 recorded discussions or engagements.
Which technical categories define Formally verified polygon intersection – Opus 4.8 oneshots, prev failed?
Based on metadata extraction, Formally verified polygon intersection – Opus 4.8 oneshots, prev failed is categorized under topics such as: formally verified, polygon intersection algorithm, AI agents, Opus 4.8.
What are some commercial alternatives to Formally verified polygon intersection – Opus 4.8 oneshots, prev failed?
Our semantic intelligence engine identifies potential commercial alternatives in the SaaS space, such as WX , which offers overlapping value propositions.
How does the creator describe Formally verified polygon intersection – Opus 4.8 oneshots, prev failed?
The original author or development team describes the product as follows: "To my knowledge, this is the first formally verified implementation of an intersection algorithm for polygons.The experience of working with AI agents on this project changed a lot with recent mode..."
Community Voice & Feedback
Impressive work. It's nice to see LEAN being used for real-world algorithms.
This is a great use for AI! Calculating intersections is tedious and there are an surprising number of edge cases that are tedious to track down and fix.
Is the web demo compiled from the lean?
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Does this use integer coordinates or floating point coordinates?
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