Life & fun · alternatives · 2026
24 alternatives to Spivak's Calculus formalized in Lean 4 – every theorem, every problem
Michael Spivak's Calculus formalized in Lean 4: every theorem and every problem of all 30 chapters and 9 appendices, in both the 3rd and 4th editions - stormj-UH/spivak-lean
This is a Lean 4 formalization of Michael Spivak's Calculus textbook, containing every theorem and problem from all 30 chapters and 9 appendices across both the 3rd and 4th editions. It is designed for mathematics… Below are 24 products that do a similar job, ranked by how close each is in meaning and then by launch-day votes.
- 1
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 →
- 2
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 →
- 3
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 →
- 4
"The Bible" of all fundamental algorithms for programming
2015 · amazon.com · its alternatives →
- 5EI
2019 · getprogrammingwithclojure.com · its alternatives →
- 6
2017 · craftinginterpreters.com · its alternatives →
- 7
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 →
- 8IM
2013 · lispwebtales.ppenev.com · its alternatives →
- 9GC
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 →
- 10
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 →
- 11
Stephen Wolfram's new book on the Wolfram Language
2015 · wolfram.com · its alternatives →
- 12
Microsoft Phi-4▲196Microsoft’s New Small Language Model For Complex Reasoning
2024 · its alternatives →
- 13
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 →
- 14IW
The book page links to a blog post that explains how I got about it (and has a link to sample content), but the TL&DR is that I could not find a lot of books that were on "our" history _and_ were larded with technical details. So I set about writing one, and some five years later I'm happy to share the result. I think it's one of the few "computer history" books that has tons of code, but correct me if I'm wrong (I wrote this both to tell a story and to learn :-)). My favorite languages are Smalltalk and Lisp, but as an Emacs user, I've been using the latter for much longer and for my…
Feb 2026 · berksoft.ca · its alternatives →
- 15PW
Functional programming language based on pure de Bruijn indexed lambda calculus.
2023 · bruijn.marvinborner.de · its alternatives →
- 16
A guide to functional programming
2016 · amazon.com · its alternatives →
- 17
2017 · craftinginterpreters.com · its alternatives →
- 18
I started writing this book 10 years ago in JavaScript, got through a few chapters (asymptotic notation, basic techniques, start of sorting), and then abandoned it. Recently I picked it back up, converted everything to TypeScript, and used AI (Zenflow [1] + Claude Opus 4.6) to complete the remaining chapters. I provided the structure, direction, and initial chapters; the AI generated the bulk of the remaining content under a spec-driven workflow. The book covers roughly a first 1-2 year CS curriculum: sorting, dynamic programming, graph algorithms, trees, heaps, hash tables, and more. All…
Mar 2026 · amoilanen.github.io · its alternatives →
- 19MI
An interactive book introducing programming with ClojureScript
2017 · langintro.com · its alternatives →
- 20
A Clojure implementation of the logic programming language from chapter 4 of SICP - jdormit/sicp-logic
2019 · github.com · its alternatives →
- 21
Python library for creating data pipelines with chain functional programming - EntilZha/PyFunctional
2017 · github.com · its alternatives →
- 22
A modernized and annotated code companion to Paul Graham's "On Lisp". - DalekBaldwin/on-lisp
2015 · github.com · its alternatives →
- 23
GitHub: https://www.github.com/fizzbee-io/FizzBee Traditionally, formal methods are used only for highly mission critical systems to validate the software will work as expected before it's built. Recently, every major cloud vendor like AWS, Azure, Mongo DB, confluent, elastic and so on use formal methods to validate their design like the replication algorithm or various protocols doesn't have a design bug. I used TLA+ for billing and usage based metering applications. However, the current formal methods solutions like TLA+, Alloy or P and so on are incredibly complex to…
2024 · fizzbee.io · its alternatives →
- 24
Thread-safe Common Lisp style conditions and restarts for Clojure(Script) and Babashka. - IGJoshua/farolero
2021 · github.com · its alternatives →
Also compare
- Formalizing Principia Mathematica using Lean alternatives
- Formally verified 3D CSG: Trust 93 lines spec, not 1000 lines AI code alternatives
- Formal Verification for Machine Learning Models Using Lean 4 alternatives
- The Art of Computer Programming alternatives
- Easy intro book to Clojure and immutability alternatives
- “Crafting Interpreters” chapter, control flow and Turing-completeness 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 →