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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeJun 18th 2013

    this MO comment made me realize that we didn’t have an entry proof assistant, so I started one

    • CommentRowNumber2.
    • CommentAuthorGuest
    • CommentTimeAug 18th 2019
    This is Roger Witte. I don't know why metamath http://us.metamath.org/ is so frequently forgotten in these discussions!

    It is at http://us.metamath.org/

    The core language is tiny and so there are many independently written proof verifiers - ¿might be useful for those worried about a bug in the implementation? - if I remember rightly, in the comments to https://www.scottaaronson.com/blog/?p=2725 Stefan O'Rear implements a metamath verifier in turing machine to lower the bound on the smallest busy beaver number that cannot be proved to exist in ZF

    It only admits one rule of deduction - textual substitution of all occurrences of a variable in a term by a term subject to distinct variable constraints.

    This gives rise to a very Hilbert style - lot's of axioms (especially since there's no difference between an axiom and a definition).
    There is a large ZFC library, a decent NFU library, and the beginnings of an IZF library.
    • CommentRowNumber3.
    • CommentAuthoratmacen
    • CommentTimeAug 18th 2019
    1. Added Metamath using the URL Roger Witte just commented about on the nForum thread. Also added Arend, why not?

    2. Removed prototype CLF from the list of example proof assistant software. Thanks, but it isn’t implemented yet, so no. That page is about design work leading towards a prototype.

    diff, v21, current

    • CommentRowNumber4.
    • CommentAuthoratmacen
    • CommentTimeAug 18th 2019

    Roger, I think it would’ve been fine for you to add the link yourself. Metamath does seem to be a proof assistant, after all. The regular editors of nLab don’t seem fussy about what kind of information goes on pages as long as it’s relevant, and attempts to be accurate and useful. If they don’t like a change, they discuss it and and possibly undo it.

    Since you have some things to say about Metamath, would you like to create a page for it? Then this page could link to that.

    • CommentRowNumber5.
    • CommentAuthoratmacen
    • CommentTimeSep 12th 2019

    Changed the first sentence saying a proof assistant is a kind of programming language. I don’t think that’s right. Now it says it’s a kind of software. Also added right afterward: Many proof assistants resemble and/or include a programming language.

    diff, v25, current

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