qedeq.org

What It Is

Hilbert II is a formalized mathematics knowledge-base project centered on the QEDEQ format. Its goal is to provide mathematical knowledge that is decentralized, verifiable, and human-readable. It attempts to map common styles of mathematical argument into formal syntax, allowing mathematical axioms, definitions, propositions, and proofs to be published as modules and referenced from anywhere on the internet.

Core Capabilities

The project provides a software suite that helps mathematicians write theorems and proofs into the knowledge base and verify them automatically with a proof checker. The current application includes a GUI, can load QEDEQ module files from the internet, convert them into LaTeX and UTF-8 text, and check simple formal proofs. The main text also mentions a simple discrete model of set theory, as well as the Principia Mathematica II prototype, which supports first-order predicate logic and demonstrates the project’s main features.

Language, Openness, and Ecosystem

QEDEQ is an XML document format that can contain LaTeX text and formulas. Development also involves a parser that reads QEDEQ documents and creates Java objects. The documentation is released under the GNU Free Documentation License, but the main text does not clearly state the software source-code license, so it is not possible to determine directly whether the application itself is open source. In terms of ecosystem, it is closer to a formalized mathematics network: it already has set-theory content, formal-logic scripts, and referenceable QEDEQ modules, rather than the plugin ecosystem typical of mainstream developer platforms.

Pricing and Documentation

No commercial pricing is mentioned in the main text. The project’s stated goal is to be a free mathematical knowledge base, and the current application is available for download. The documentation provides a reasonably detailed explanation of the vision, planning stages, mathematical foundations, and completed capabilities, making it useful for understanding the project’s direction. However, the update date is shown as 2014, and it lacks modern installation guides, API/SDK documentation, CI integration, or IDE integration docs.

Pros, Cons, and Best-Fit Users

Its strengths are a clear concept, support for both readable mathematical text and formal verification, decentralized module references, and LaTeX output. Its weaknesses are unclear maturity, maintenance status, and developer ecosystem, along with a high learning curve and limited fit for general software-development scenarios. It is best suited to formal-proof researchers, learners of mathematical logic and set theory, and people who want to write verifiable mathematics textbooks.

Access from China

The main text does not provide information about network access, mirrors, or payments, so access stability from mainland China cannot be assessed and should be marked as unknown. If you want a more mature formal-proof ecosystem, you may also want to evaluate Lean, Coq, Isabelle/HOL, Agda, or Mizar.