vortex-ai

Algorithms and Complexity Library using the lightweight query combinator framework called "Prog"

XGo is a programming language that reads like plain English. But it's also incredibly powerful — it lets you leverage assets from C/C++, Go, Python, and JavaScript/TypeScript, creating a unified software engineering ecosystem. Our vision is to enable everyone to become a builder of the world.

Lean 4 infrastructure for proving program behavior from machine code, with explicit memory, OS resource, and concurrency models.

Ὁ Πενταμετρικὸς Κύκλος — where number becomes music. One integer formula, 𝔓(n), turns every n into silence or a Pythagorean consonance (1:1, 2:1, 3:2, 4:3), forming a 51-term palindrome mirrored at n = 25. At Lucas numbers, and only there, it gives the Fibonacci squares: 𝔓(Lₖ) = Fₖ². Paper, proofs

Source code of calculators hosted at https://www.alpertron.com.ar

Essential Software Engineering for Researchers

让 Codex 通过 USB 操作真实 iPhone：引导安装、App 自动化、实时屏幕与截图回退。

AI-assisted mathematics research and Lean formalization.

A modern Python library for converting Mass Spectrometry Imaging (MSI) data into standardized SpatialData/Zarr format, enabling seamless integration with spatial omics analysis workflows.

Easy to use and blazing fast JAX-based library for high-performance 2D/3D Discrete Element Method (DEM) simulations.

Making Protein folding accessible to all!

A platform for finding, testing, reducing, and evaluating compiler failures across the quantum software stack.

Main-line Open-Access Little Learner Model. (https://src.ne-app.eu) Designed for Formal Reasoning.

A tiny total language that splits requirements, algorithms, and machine-level spelling into separate machine-checked artifacts tied by proven refinement (spec ⊑ code) — building real x86-64 ELF binaries with no C, no libc, and no trusted compiler.

The Artificial Intelligence for Life in Space (AI4LS) team at NASA Ames uses artificial intelligence and machine learning to support and advance space exploration. This repository contains code for ongoing and completed projects. SRA#ARC-18915-1

A JIT compiler for hybrid quantum programs in PennyLane

CLI and MCP server for debuggable Lean 4 proof workflows

Production-ready ZK-IP protocol with STARK proofs. Formally verified in Lean 4, hardware-accelerated (NoCap), supports recursive proofs & batching. Includes Zero-Knowledge Middlebox (ZKMB) application. Ix/Aiur STARK integration.

Lean 4 / Mathlib formalization of 'A Noncircular Oval with Convex Unit-Tangent Iterates' — 627 modules, 0 sorry, verified build

Collection of bioinformatics-related WDL modules and pipelines