@djalbat @holbot All the available talks can be found either on the #IPAM youtube channel https://www.youtube.com/channel/UCGzuiiLdQZu9wxDNJHO_JnA or by navigating to the individual talks in the #MachineAssistedProofs workshop web page https://www.ipam.ucla.edu/programs/workshops/machine-assisted-proofs/?tab=schedule .

@holbot @djalbat This recent #IPAM #MachineAssistedProofs talk by Jason Rute discusses the state of the art in this direction: https://www.youtube.com/watch?v=P5ew0BrRm_I (also discussed here at https://mathstodon.xyz/@tao/109875787762679762 )

Inspired by the recent #IPAM conference on #MachineAssistedProofs, I wrote a blog post inviting discussion regarding the possibility of automatically generating a logical diagram for a given mathematical paper. https://terrytao.wordpress.com/2023/02/18/would-it-be-possible-to-create-a-tool-to-automatically-diagram-papers/

Hoy culmina el programa de #MachineAssistedProofs , al que le podríamos llamar #MatemáticasAutomáticas . En verdad, hay que pensar que «a todo cerdo le llega su San Martín» y que estamos llegando a un cambio de paradigma, al final de un camino. Poco a poco el trabajo, a veces tedioso y a veces complejo, detrás de una demostración matemática se está automatizando. A penas van los conceptos básicos de algunas áreas, pero ahí va la maquinaria creciendo.

ML4PureMath in the #MachineAssistedProofs workshop at #IPAM this week. https://mathstodon.xyz/@tao/109858184238417737

#IPAM
#MachineAssistedProofs

P8's proof can be shortened, in fact. The three statements that appear after the "Hence' can all be omitted. They are there only to make the proof more readable.

#IPAM
#MachineAssistedProofs

Woop, just this moment finished verifying Peano's axioms bar the last. I think P5 and P7 are my favourites for their simplicity. P8 is probably the most interesting as a proof, however.

On to deriving the Principal of Induction next, which has been a goal for several years now.

#IPAM
#MachineAssistedProofs

Explicit type inference is now working. Automatic or implicit type inference was not going to work for technical reasons.

Esta semana estaré participando en #IPAM en #UCLA en un programa de #MachineAssistedProofs . se tratará la automatización de demostraciones matemáticas. Mi primera experiencia con esto fue cuando en 2015 demostramos, con Luis García-Naranjo y Ramón Vera, que toda 4-variedad lisa admite una estructura de Poisson. Para la prueba tuvimos que apoyarnos en calculos que realizó un programa en Mathematica, de cómputo simbólico. https://link.springer.com/article/10.1007/s11005-015-0792-8

The #IPAM workshop on #MachineAssistedProofs (which I am the lead organizer of) starts in less than an hour: http://www.ipam.ucla.edu/programs/workshops/machine-assisted-proofs/ . As an experiment, I plan to make some occasional posts on the workshop as comments to this post. (For people not already registered, the talks will be made available online one to two weeks after the event.)