• Dan Christensen Revisited [Terrence Tao Benchmark]

    From Mild Shock@janburse@fastmail.fm to comp.lang.prolog on Fri May 22 08:51:13 2026
    From Newsgroup: comp.lang.prolog

    Hi,

    Remember DC Proof:

    ""DC Proof and Metamath provide very different approaches and
    philosophies. DC Proof embeds first-order logic in its engine (program),
    so that what the user sees corresponds to a more high-level view of the
    proof, similar to what might be found in a math book or math course. DC
    Proof is probably a better tool for learning about proofs in the way
    that mathematicians usually do them."
    --Norman Megill, creator of Metamath, sci.math, January 2006

    DC Proof 2.0 - Testimonials 2013
    http://www.dcproof.com/testimonials.htm

    It was a free logic based fitch style proof construction
    tool, unfortunately not open source. It could do some amazing
    things. But for example I suspected it to be subject to

    AmateurGate: DC Proof is subject to Grelling's antinomy https://groups.google.com/g/sci.logic/c/TaIENB54MNQ/m/0W9jjd-zAQAJ

    Grelling's antinomy. But the ultimately battle ground was
    a function space ontology with some useful extensionality.
    In doubt Dan Christensen often refered to Terrence Tao,

    as an authority of his modelling. But back in August 2023
    there was only a verbal textbased reference for Analysis I.
    This seems to have changed since May 2026:

    A Lean companion to “Analysis I” https://terrytao.wordpress.com/2025/05/31/a-lean-companion-to-analysis-i/

    Lean formalization of Analysis I
    https://github.com/teorth/analysis

    Now there is at least one official formal interpretation of
    what Terrence Tao could have meant.

    Bye
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