• Magic square of squares [Richard Guy] (Re: Chad Brown's Megalodon goes LLM)

    From Mild Shock@janburse@fastmail.fm to sci.physics on Thu Jan 22 01:48:03 2026
    From Newsgroup: sci.physics

    Mild Shock schrieb:
    Hi,

    This is a brief description of a project that
    has already autoformalized a large portion of
    the general topology from the Munkres textbook
    (which has in total 241 pages in 7 chapters
    and 39 sections).

    The proof checker is Chad Brown's higher-order
    set theory system Megalodon, and the core library
    is Brown's formalization of basic set theory
    and surreal numbers (including reals, etc).
    The rest is some prompt engineering and
    technical choices which we describe here.

    130k Lines of Formal Topology in Two Weeks
    https://arxiv.org/abs/2601.03298

    Is this the end to the mess, of the same
    theorem proved with proof assistant A, but
    using set theory, and also proved with proof
    assistant B, but using type theory.

    How malleable are LLM generated proofs?

    Bye

    Mild Shock schrieb:
    Hi,

    Good Morning Vietnam, the HPC-AI Convergence
    doesn't sleep. Here a friendly reminder of
    the Sudoku leader board (Topn87 Challenge):

    #1: jczsolve / Rust WASM
    -a-a-a-a Solving 87 Sudokus in 0.006 seconds (0 sec / Sudoku)
    -a-a-a-a https://emerentius.github.io/sudoku_web/

    #2: Kudoku / JavaScript
    -a-a-a-a Solving 87 Sudokus in 0.043 seconds (0.0004 sec / Sudoku)
    -a-a-a-a https://attractivechaos.github.io/plb/kudoku.html

    #3: Picat / import cp. solve([ff],L)
    -a-a-a-a CPU time 0.175 seconds
    -a-a-a-a https://picat-lang.org/

    #4: Picat / import sat. solve(L)
    -a-a-a-a CPU time 0.373 seconds
    -a-a-a-a https://fmv.jku.at/kissat/

    Tested on Windows 11, with a AMD Ryzen AI 350

    Didn't test yet GNU Prolog, ECLiPSe Prolog or
    Ciao Prolog. So whats next? Well beat #1 by
    tapping into an NPU of Copilot+ PC.

    Have Fun!

    Its Winner Winner Chicken Dinner time again...

    Bye


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