On Tue, Aug 30, 2022 at 12:10 AM Benoit <[email protected]> wrote:
> That's a nice work.

Thanks :-)

> As for the big list, it would be interesting to have it.

Please find the original unfiltered alt-mm output here
https://github.com/Antony74/alt-mm/blob/1cef09bc1976bd673d10ae76bdc872ff476b2fa1/set-mm-output.txt
And with the label filtering suggested by David here
https://github.com/Antony74/alt-mm/blob/master/set-mm-output.txt

I don't know why I didn't think of committing the output to the git
repository before.  If I make further improvements I should be able to keep
that output file in sync.

Note: you wrote on the first line of your first post "proofs that are
> identical", but the proofs can differ: what you mean is that the statements
> are identical (more precisely, as you wrote later: the $f, $d, $e and $p
> statements of the associated frame).
>

I think it's the bit where I said axioms, definitions, and proofs were
assertions, that I went wrong.  A proof does contain an assertion but it
contains more than just that.  We're only concerned here with the assertion
part.  The concept of an assertion is just something I've picked up from
the checkmm source code, sorry if it's not proper terminology.

> And probably not up to variable renaming ?

No.  Savask has got further with this question than me by considering which
sets of variables can be used interchangeably.  Sounds like a
challenging problem to resolve programmatically (though easily guessed when
looking at an .mm file).  After solving that I would probably just
re-assign variables alphabetically in order of appearance - imposing a
consistent ordering makes a test for equality trivial -  except I think
that falls apart here because the hypotheses in which variables may appear
are themselves unordered.

    Best regards,

        Antony

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