Showing 13 open source projects for "mathematical proofs"

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  • 1
    DeepSeekMath-V2

    DeepSeekMath-V2

    Towards self-verifiable mathematical reasoning

    DeepSeekMath-V2 is a large-scale open-source AI model designed specifically for advanced mathematical reasoning, theorem proving, and rigorous proof verification. It’s built by DeepSeek as a successor to their earlier math-specialist models. Unlike general-purpose LLMs that might generate plausible-looking math but sometimes hallucinate or mishandle rigorous logic, Math-V2 is engineered to not only generate solutions but also self-verify them, meaning it examines the derivations, checks logical consistency, and flags or corrects mistakes, producing proofs + verification rather than just a final answer. ...
    Downloads: 6 This Week
    Last Update:
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  • 2
    The Agda standard library

    The Agda standard library

    The Agda standard library

    The standard library aims to contain all the tools needed to write both programs and proofs easily. While we always try and write efficient code, we prioritize ease of proof over type-checking and normalization performance. If computational performance is important to you, then perhaps try agda-prelude instead. Agda is a dependently typed programming language. It is an extension of Martin-Löf’s type theory and is the latest in the tradition of languages developed in the programming logic...
    Downloads: 0 This Week
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  • 3
    Key-book

    Key-book

    Proofs, cases, concept supplements, and reference explanations

    ..."Guide" mainly covers seven parts, corresponding to seven important concepts or theoretical tools in machine learning theory, namely: learnability, (hypothesis space) complexity, generalization bound, stability, consistency, convergence rate, regret circle. Daoyin is a highly theoretical book, involving a large number of mathematical theorems and various proofs. Although the writing team has reduced the difficulty as much as possible, due to the nature of machine learning theory, the book still places high demands on the reader's mathematical background.
    Downloads: 0 This Week
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  • 4
    Napkin

    Napkin

    An Infinitely Large Napkin

    Napkin (also titled “An Infinitely Large Napkin”) is a lightweight, semi-formal introduction to higher mathematics, aimed at giving readers a bird’s-eye view over various mathematical fields. It is not a polished textbook full of full proofs; rather it offers clean definitions, theorem statements, intuitive motivations, and informal sketches of why things work, with the goal of building conceptual understanding. The coverage spans undergraduate and early graduate topics, designed to show how different areas of math fit together—linear algebra, analysis, topology, number theory, and more—without going deeply into every subtopic. ...
    Downloads: 0 This Week
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  • 5
    alphageometry

    alphageometry

    AI-driven neuro-symbolic solver for high-school geometry problems

    AlphaGeometry, developed by Google DeepMind, is a theorem-proving system that combines symbolic reasoning with deep learning to solve challenging geometry problems, such as those found in mathematical Olympiads. The repository provides the full implementation of DDAR (Deductive Difference and Abductive Reasoning) and AlphaGeometry, two automated geometry solvers described in the 2024 Nature paper “Solving Olympiad Geometry without Human Demonstrations.” AlphaGeometry integrates a symbolic...
    Downloads: 11 This Week
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  • 6
    Archive of Formal Proofs

    Archive of Formal Proofs

    A collection of machine-checkend mathematical proofs

    The Archive of Formal Proofs is a collection of proof libraries, examples, and larger scientifc developments, mechanically checked in the theorem prover Isabelle. It is organized in the way of a scientific journal. Submissions are refereed.
    Downloads: 0 This Week
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  • 7

    eProofElectron

    Create an webbased learning environment for mathematical proofs

    With this tool you can create a learning environment for mathematical proofs as a single HTML file, that can be updloaded to Web Server or used offline on a students Computer. The teacher can decide which support is provided to student. Self assessment for a single proof step and the full proof is available in the offline environment. Students just need a browser to run the e-Proof Environment. eProofElectron is an Authoring Tool for Teacher to create the eProof-HTML files. ...
    Downloads: 0 This Week
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  • 8
    Lurch
    Software for teaching and learning mathematical proofs Where most mathematical proof software concentrates on formal logic (or some other specialty area of mathematics), Lurch aims to be truly general-purpose, with an attracitve user interface.
    Downloads: 22 This Week
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  • 9
    HLM is a proof assistant for everyday mathematics, which is currently being developed. It aims for a user experience as close as possible to regular mathematical practice, and proofs which are understandable by humans with little extra effort.
    Downloads: 0 This Week
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  • 10
    Coqtail
    COQ Theorems, Abstractions and Implementations (bachelor Level) Coqtail is a library of mathematical proofs using the Coq proof assistant.
    Downloads: 0 This Week
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  • 11
    Hilbert II - QEDEQ

    Hilbert II - QEDEQ

    proof verifier for mathematical proofs and documentation generator

    In the tradition of Hilbert's program we create a formal correct (checkable by a proof verifier) but readable (like an ordinary LaTeX textbook) mathematical knowledge base which is freely accessible within the internet. Logic and set theory started.
    Downloads: 0 This Week
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  • 12
    Superficially, Dominoes on Acid is a solitaire variant of Dominoes with weird colorful tiles. But on a deeper level it is a GUI for natural deduction. Every completed domino is equivalent to a proof of a tautology in classical propositional logic.
    Downloads: 0 This Week
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  • 13
    Leanstral

    Leanstral

    Open-source code agent designed for Lean 4

    ...The model can assist in writing proofs, exploring mathematical structures, and validating logical properties in code.
    Downloads: 0 This Week
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