AI · alternatives · 2026
24 alternatives to Formally verified polygon intersection – Opus 4.8 oneshots, prev failed
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…
Formally verified polygon intersection is a Lean implementation of a polygon intersection algorithm with mathematical proof of correctness. Designed for developers who need reliable geometric computation, it stands out… Below are 24 products that do a similar job, ranked by how close each is in meaning and then by launch-day votes.
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To my knowledge, this is the first formally verified implementation of a 3D constructive solid geometry (CSG) operation: mesh intersection, implemented in Lean 4 and verified against a concise specification that pins down the surface of the resulting mesh exactly and guarantees practical well-formedness conditions on the triangulation. This project is also an experiment in avoiding having to trust AI-generated code. A human reviewer only needs to read 93 lines of formal specification and run the Lean checker to certify the correctness of the kernel, skipping the intricate 1000+ lines of…
Jul 2026 · github.com · its alternatives →
- 2
This project aims to formalize the first volume of Prof. Bertrand Russell’s Principia Mathematica using the Lean theorem prover. Throughout the formalization, I tried to rigorously follow Prof. Russell’s proof, with no or little added statements from my side, which were only necessary for the formalization but not the logical argument. Should you notice any inaccuracy (even if it does not necessarily falsify the proof), please let me know as I would like to proceed with the same spirit of rigour. Before starting this project, I had already found Prof. Elkind’s formalization of the Principia…
2025 · github.com · its alternatives →
- 3IM
This is the first iteration of a short game I’m making that tries to interactively explain some of my favorite math questions / ideas. My goal is mostly to get the player curious and not necessarily to explain absolutely everything. There were a lot of fun technical parts to building this: - For implementation reasons, it’s much easier if the lines all have integer intersection points with each other. To do this, when a new line is added I “cheat” by rounding intersections to integers and then splitting the old lines at the intersection into new linds (with potentially different slopes)…
2024 · rahulilango.com · its alternatives →
- 4
HyperMinHash: Bringing intersections to HyperLogLog - axiomhq/hyperminhash
2018 · github.com · its alternatives →
- 5
Framework for specifying and proving properties—such as robustness, fairness, and interpretability—of machine learning models using Lean 4. - fraware/leanverifier
2025 · github.com · its alternatives →
- 6GC
Achieved a new world record in verifying the Goldbach Conjecture using grid computing, by extending the verification up to 4 quadrillion (4×10¹⁸) + 70 trillion (7×10¹³). My grid computing system - Gridbach is a cloud-based distributed computing system accessible from any PC or smartphone. It requires no login or app installation. The high-performance WASM (WebAssembly) binary code is downloaded as browser content, enabling computation on the user’s browser. [Website] https://gridbach.com/ [Medium]…
2025 · medium.com · its alternatives →
- 7
A pipeline that translates Rust GPU code into formal Coq models, as a foundation for memory model proofs - neelsomani/vericuda
2025 · github.com · its alternatives →
- 8
A Blender addon for generating synthetic ground truth data for Computer Vision applications - GitHub - Cartucho/vision_blender: A Blender addon for generating synthetic ground truth data for Computer Vision applications
2020 · github.com · its alternatives →
- 9
Geometry library for C - Fast point-in-polygon. Contribute to tidwall/tg development by creating an account on GitHub.
2023 · github.com · its alternatives →
- 10AN
2012 · petercottle.com · its alternatives →
- 11
At Cajal (YC W26) we’re excited to share Talos (https://github.com/cajal-technologies/talos), an open source framework for formal verification of WebAssembly modules in Lean. AI is now writing tons of the code that gets pushed to production. As code generation gets cheaper, verification becomes the bottleneck. We believe in a future where every piece of software comes with a mathematical proof that it does what its author intended - in doing so, eliminating many classes of exploits. Talos is part of the foundation for that. Talos provides a Wasm interpreter optimized for…
Jun 2026 · github.com · its alternatives →
- 12
Simple SDF mesh generation in Python. Contribute to fogleman/sdf development by creating an account on GitHub.
2021 · github.com · its alternatives →
- 13
2019 · pmp-library.org · its alternatives →
- 14
2018 · erkaman.github.io · its alternatives →
- 15
Visual explanation of pathfinding algorithms and how a*, Dijkstra and BFS can be seen as the same algorithm with different parameter/data structures used under the hood - npretto/pathfinding
2021 · github.com · its alternatives →
- 16
Creating high-quality scientific figures can be time-consuming and challenging, even though sketching ideas on paper is relatively easy. Furthermore, recreating existing figures that are not stored in formats preserving semantic information is equally complex. To tackle this problem, we introduce DeTikZify, a novel multimodal language model that automatically synthesizes scientific figures as semantics-preserving TikZ graphics programs based on sketches and existing figures. We also introduce a Monte Carlo Tree Search-based inference algorithm that enables DeTikZify to iteratively refine its…
2024 · github.com · its alternatives →
- 17
My own implementation of a Delaunay triangulation and Voronoi partition in Python applied to images. - MauriceGit/Delaunay_Triangulation
2015 · github.com · its alternatives →
- 18
Hi HN! My name is Olaf, I work at CircleCI as a technology advisor in the CTO office, came in through the acquisition of my company Vamp.io (progressive delivery for microservices on k8s) in 2021. Wanted to hear the HN community feedback and thoughts on a project we think could be very interesting when adding AI coding agents to the SDLC and your CI pipelines. Our team at CircleCI built Chunk sidecars after repeatedly running into the same issue internally: by the time our CI catches a failure, the agent has already moved on and most of the useful context is gone. The basic idea of Chunk…
May 2026 · circleci.com · its alternatives →
- 19
I’m a Technical Artist. I built anyCreature, an open-source, mesh-based generative harness designed to programmatically quantify and enforce 3D aesthetics through three automated pipeline checks: 1. QC Thresholds: Automated pass/fail checks for standard game-engine specs (poly count, vertex budget, rigging, and animation tracks). 2. Quantified Aesthetics: Spatial vertex analysis to objectively measure mass distribution and form tension, ensuring biologically logical anatomy. 3. Silhouette & Readability: Automated high-contrast B&W renders and 24px thumbnail tests to guarantee visual…
Aug 2026 · github.com · its alternatives →
- 20PC
2017 · proofcompanion.com · its alternatives →
- 21IA
Hi! We're Amisi and Claude, builders of the i2 language and the i2forge platform. i2 is an (early draft of a) language designed to make formal verification easy for mathematicians. We are launching the language as an open source project today (https://i2lang.org) together with a closed alpha for i2forge. However, we have a publicly accessible demo page which anyone can use, and we would love your feedback. Thanks.
2023 · i2forge.com · its alternatives →
- 22
Zero-Knowledge Proofs (ZKPs) let an untrusted proved show that computation was executed correctly without revealing the inputs to the verifier. However to prove anything, the computation first has to be expressed as a circuit: a system of polynomial equations (constraints) over a finite field. Circuits are the assembly language of zk and every constraint costs prover (and sometimes verifier) time, so production circuits are aggressively hand-optimized. Over the last months, we have been experimenting with writing formal specifications instead and letting LLMs produce the circuits: as long as…
Jul 2026 · zk.golf · its alternatives →
- 23
Hi everyone, I’m a student with a strong interest in computer science and complexity theory. Recently, I worked on a manuscript attempting to prove that P ≠ NP. I know how this sounds — it’s one of the hardest and most debated problems in CS, and many have tried and failed. I don’t claim to have the final answer, but I believe the approach I used might at least offer some fresh perspective or provoke useful critique. The idea involves geometric separation between deterministic and nondeterministic computation, using high-dimensional lattice constructions and some physics-inspired intuition.…
2025 · zenodo.org · its alternatives →
- 24IB
I am Francisco, a researcher from Spain. My English is not great so please be patient with me. One year ago I had a simple frustration: every AI agent works alone. When one agent solves a problem, the next agent has to solve it again from zero. There is no way for agents to find each other, share results, or build on each other's work. I decided to build the missing layer. P2PCLAW is a peer-to-peer network where AI agents and human researchers can find each other, publish scientific results, and validate claims using formal mathematical proof. Not opinion. Not LLM review. Real Lean 4 proof.…
Mar 2026 · its alternatives →
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- Formalizing Principia Mathematica using Lean alternatives
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- Formal Verification for Machine Learning Models Using Lean 4 alternatives
- Goldbach Conjecture up to 4*10^18+7*10^13 alternatives
Ranked by how close each launch is in meaning, then by votes. Prices were read from each product’s own site when checked and can change. Refine with your own description →