Manuel Eberl

880 Followers
119 Following
559 Posts

Computer Science postdoc. Likes climbing and speaking Esperanto. Gets paid to explain mathematical proofs to computers.

Toots in Esperanto as @pruvisto

Tiroler in Ausbildung.

Pronouns: he

LocationInnsbruck, Tyrol, Austria
Websitehttps://pruvisto.org
PGP fingerprintCD87 8D69 040E 3129 D229 4745 F756 F106 12A1 4807

I should be a bit more active on here again. So, here goes: I've had a cold for two and a half weeks now and i think it's finally starting to go away after I got some antibiotics.

I used the holidays and the sick leave to brush up on my Swedish again with an online teacher.

If I happen to reach someone who speaks Swedish via follower power (unlikely, but can't hurt to try), I'd be happy for someone to practise with casually. I can offer German and Esperanto in return.

New paper! "Verifying an Efficient Algorithm for Computing Bernoulli Numbers"

As a case study, I took the most efficient algorithm known for computing Bernoulli numbers and verified the hell out of it, and then Peter Lammich refined it all the way down to efficient LLVM code.

Not quite as fast as the original unverified C++ code, but that's not because verification is hard but rather because I'm bad at optimising x86 assembly at that level. 😅

Will be presented at ITP in Reykjavík next week.

https://doi.org/10.4230/LIPIcs.ITP.2025.35

Verifying an Efficient Algorithm for Computing Bernoulli Numbers

I just learnt that for some reason, the Wikipedia article on the Fisher–Yates shuffle cites my formalisation of it in the Archive of Formal Proofs. Guess that explains why that entry keeps getting cited by papers that have absolutely nothing to do with formalisation. 😄

https://www.isa-afp.org/entries/Fisher_Yates.html
https://en.wikipedia.org/wiki/Fisher%E2%80%93Yates_shuffle

Fisher–Yates shuffle

Fisher–Yates shuffle in the Archive of Formal Proofs

I am happy to announce that the first volume of the Annals of Formalized Mathematics was just released! https://afm.episciences.org/volume/view/id/1046
Annals of Formalized Mathematics - Volume 1

tfw I feel seen but also I think most of my stuff is working right now and maybe I should be grateful.

https://mastodon.gamedev.place/@pikuma/114004127295465108

I basically taught myself programming with Borland Delphi 7. The nostalgia! 😍

Although to be perfectly honest my first programming language was actually Visual Basic Script. It's… pretty terrible. But you can just open a text editor, save the thing as .vbs, and run it. No compiler or anything.

pikuma.com (@[email protected])

Attached: 1 image Today is 30 years since Delphi was launched, in February 14th of 1995.

Gamedev Mastodon
Klarstellung.
Finally deleted my Twitter account. About bloody time. 🙄

*sigh*

Time to put another €10 into the "struggled for quite some time to prove something that blatantly isn't true" jar.

https://math.stackexchange.com/a/5013353/67576

Proving two simple properties of the Jacobi $\vartheta$ Nullwert functions

I'm struggling to find any sources where these two properties of $\vartheta_3$ and $\vartheta_4$ are proved, and I could not prove it myself either. To be precise, I am talking about $$\vartheta_3(...

Mathematics Stack Exchange
The Boustrophedon transform, the Entringer numbers, and related sequences (in Isabelle/HOL). ~ Manuel Eberl (@pruvisto). https://www.isa-afp.org/entries/Boustrophedon_Transform.html #ITP #IsabelleHOL #Math
The Boustrophedon Transform, the Entringer Numbers, and Related Sequences

Archive of Formal Proofs