Dev tools · alternatives · 2026
24 alternatives to Sostactic – polynomial inequalities using sums-of-squares in Lean
Current support for nonlinear inequalities in Lean is quite limited. This package attempts to solve this. It contains a collection of Lean4 tactics for proving polynomial inequalities via sum-of-squares (SOS) decompositions, powered by a Python backend. You can use it via Python or Lean. These tactics are significantly more powerful than `nlinarith` and `positivity` -- i.e., they can prove inequalities they cannot. In theory, they can be used to prove any of the following types of statements - prove that a polynomial is nonnegative globally - prove that a polynomial is nonnegative over a…
Sostatic is a Lean4 package for proving polynomial inequalities using sum-of-squares decompositions, backed by a Python solver. It provides tactics that work in both Python and Lean to handle nonlinear inequalities… Below are 24 products that do a similar job, ranked by how close each is in meaning and then by launch-day votes. Prices are shown for the 1 we have checked on their own sites, 1 of them free or with a free tier.
- 1CP
Evaluate a degree-n polynomial with about n/2 multiplications. Type a polynomial, pick ℚ, ℝ, ℂ, a Mersenne prime or a binary field, and get the preprocessed evaluation chain as math, C code or a circuit — everything runs in your browser.
Sep 2026 · thomasahle.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
I've been studying interval arithmetic for the past few weeks and it's a really interesting field because while there is a ton of super interesting research published over the past decades, it has never really gotten the recognition that it deserves, IMO. One reason for this is that standard interval arithmetic has really poor handling of division by intervals containing zero. If you compute 1 / [-1, 2] in regular interval arithmetic, you get either [-∞, +∞], or you have to say that the operation is undefined. Both solutions are virtually useless. The real answer of course is [-∞, -1] U…
Apr 2026 · victorpoughon.github.io · its alternatives →
- 4
Algebraic enhancements for GEMM & AI accelerators. Contribute to trevorpogue/algebraic-nnhw development by creating an account on GitHub.
2024 · github.com · its alternatives →
- 5
I formalized the Single Source of Truth (SSOT) principle in Lean 4 (~2.1k LOC, zero sorry) and proved two core results: Structural SSOT is achievable only when a language provides definition-time hooks and runtime introspection. Macros/codegen (before definition) and reflection (after definition) are insufficient. These requirements are derived, not chosen: because structural facts are fixed at definition, derivation must occur at definition time and be introspectable to verify DOF = 1. Would appreciate review, critique, or independent checking of the Lean scripts.
Jan 2026 · zenodo.org · its alternatives →
- 6
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 →
- 7
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 →
- 8
Integrate is a fast, small, lightweight Rust library for performing numerical integration of real-valued functions. It is designed to integrate functions, providing a simple and efficient way to approximate definite integrals using various numerical methods. Integrate supports a variety of numerical integration techniques: - Newton-Cotes methods: - Rectangle Rule. - Trapezoidal Rule. - Simpson's Rule. - Newton's 3/8 Rule. - Gauss quadrature methods: - Gauss-Legendre. - Gauss-Laguerre. - Gauss-Hermite. - Gauss-Chebyshev First Kind. - Gauss-Chebyshev Second Kind. - Adaptive Methods: -…
2024 · github.com · its alternatives →
- 9
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…
Jun 2026 · github.com · its alternatives →
- 10GC
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 →
- 11
A simple utility for running exhaustiveness checks on Go "sum types." - BurntSushi/go-sumtype
2017 · github.com · its alternatives →
- 12
Simple Python Calculation Engine. Contribute to bsdz/calcengine development by creating an account on GitHub.
2021 · github.com · its alternatives →
- 13
A discrete-time Python-based solver for the Stochastic On-Time Arrival routing problem - mehrdadn/SOTA-Py
2017 · github.com · its alternatives →
- 14
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 →
- 15
Embeddable or standalone robust floating-point polynomial calculator written in Rust. - alfanick/xxcalc-rs
2016 · github.com · its alternatives →
- 16
We've open-sourced Klarity - a tool for analyzing uncertainty and decision-making in LLM token generation. It provides structured insights into how models choose tokens and where they show uncertainty. What Klarity does: - Real-time analysis of model uncertainty during generation - Dual analysis combining log probabilities and semantic understanding - Structured JSON output with actionable insights - Fully self-hostable with customizable analysis models The tool works by analyzing each step of text generation and returns a structured JSON: - uncertainty_points: array of {step, entropy,…
2025 · github.com · its alternatives →
- 17
Greetings! A 2.5 weekends project to teach myself newer Python features (>= 3.10). Conditions are written as Lambda expressions that annotate parameters and return types, and coexist with type annotations. Symbols to share values between conditions are also supported to a limited extend.
2022 · github.com · its alternatives →
- 18
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 →
- 19IP
Interactive toy for visualizing relationship between polynomial roots and coefficients
2017 · duetosymmetry.com · its alternatives →
- 20
Everything about Polynomials: solutions, proofs & graphs
2025 · apps.apple.com · its alternatives →
- 21OH
2016 · medium.com · its alternatives →
- 22
An R7RS Scheme implemented in WebAssembly . Contribute to PollRobots/scheme development by creating an account on GitHub.
2022 · github.com · its alternatives →
- 23
Bitwise operations and conversions to hexadecimals
2016 · flippybitandtheattackofthehexadecimalsfrombase16.com · its alternatives →
- 24
Contribute to skorotkiewicz/algebruh development by creating an account on GitHub.
Aug 2026 · github.com · its alternatives →
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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 →