Background

Large-scale semantic processing and strong computer assistance of mathematics and science is our inevitable future. New combinations of AI and reasoning methods and tools deployed over large mathematical and scientific corpora will be instrumental to this task. The AITP conference is the forum for discussing how to get there as soon as possible, and the force driving the progress towards that.

Topics

Sessions

There will be several focused sessions on AI for ATP, ITP, mathematics, relations to general AI (AGI), Formal Abstracts, linguistic processing of mathematics/science, modern AI and big-data methods, and several sessions with contributed talks. The focused sessions will be based on invited talks and discussion oriented. AITP'23 is planned as an in-person conference. Virtual participation may be possible in exceptional situations.

Confirmed Participants/Speakers (TBC)

João AraújoUniversidade Nova de Lisboa
Walter DeanUniversity of Warwick
Michael R. DouglasStony Brook University
Thibault GauthierCzech Technical University in Prague
Ben GoertzelSingularityNET
Sergei GukovCaltech
John HarrisonAmazon
Sean HoldenUniversity of Cambridge
Mikoláš JanotaUniversity of Lisbon
Moa JohanssonChalmers University
Cezary KaliszykUniversity of Innsbruck
Konstantin KorovinThe University of Manchester
Tomáš MikolovCzech Technical University in Prague
Eric MjolsnessUniversity of California Irvine
Alberto NaiboUniversity Paris 1
Miroslav OlsakIHES
Alison PeaseUniversity of Dundee
J.D. PhillipsNorthern Michigan University
Michael RawsonTU Wien, Austria
Stephan SchulzDHBW Stuttgart
Martin SudaCzech Technical University in Prague
Christian SzegedyGoogle Research
Josef UrbanCzech Technical University in Prague
Kaiyu YangCaltech
Zsolt ZomboriAlfréd Rényi Institute of Mathematics

Invited talks

Sergei GukovSearching for ribbons with machine learning
Sean HoldenThree Decades of Learning to Solve Satisfiability Problems
Moa JohanssonExploring Mathematical Conjecturing with Large Language Models
Eric MjolsnessAI and Theorem-Proving for Science: Towards AI for mathematical modeling of complex physical and biological systems (with aspects of “Feynman on AI ...” book chapter)
Alison PeaseStudies of Mathematical Practice and Lessons for ATP
Kaiyu YangLeanDojo: Theorem Proving with Retrieval-Augmented Language Models

Dates

AITP solicits contributed talks. Selection of those will be based on extended abstracts/short papers of 2 pages (excluding references) formatted with easychair.cls. Submission is via EasyChair. Accepted contributions will be published in an informal book of abstracts available from this website. The extended abstracts are considered non-archival.

Contributed talks

Boris Shminke. gym-saturation: Gymnasium environments for saturation provers (system description)
Ryutaro Yamauchi, Sho Sonoda, Akiyoshi Sannnai and Wataru Kumagai. Markup Language for Mathematical Reasoning with LLMs
Dylan Zhang, Talia Ringer and Emily First. Getting More out of Large Language Models for Proofs
Bartosz Piotrowski, Ramon Fernández Mir and Edward Ayers. Machine-Learned Premise Selection for Lean
Kai Fong Ernest Chong. Algebraic Machine Reasoning: How inductive reasoning reduces to algebraic computations
Karel Chvalovský, Konstantin Korovin, Jelle Piepenbrock and Josef Urban. Guiding an Instantiation Prover with Graph Neural Networks
Sankalp Gambhir, Simon Guilloud, Dragana Milovancevic, Philipp Rummer and Viktor Kuncak. LISA Tool Integration and Education Plans
Thibault Gauthier, Miroslav Olsak and Josef Urban. Improvements in Program Synthesis for Integer Sequences
Jan Jakubuv and Cezary Kaliszyk. VizAR: The Proof Navigator
Liao Zhang. Inductive Logic Programming for Interactive Theorem Proving
Jan Jakubuv, Karel Chvalovský, Zarathustra Goertzel, Cezary Kaliszyk, Miroslav Olšák, Bartosz Piotrowski, Stephan Schulz, Martin Suda and Josef Urban. MizAR 60 for Mizar 50
Filip Bártek and Martin Suda. Robust Strategy Schedule Optimization for an Automatic Theorem Prover
Mario Carneiro, Chad Brown and Josef Urban. Automated Theorem Proving for Metamath
Jelle Piepenbrock, Mikolas Janota, Jan Jakubuv and Bartosz Piotrowski. Project Proposal: SMT Instantiation via Graph Neural Networks
Martin Suda. Descending to Complementarity
Ádám Fraknói, Andras Kornai and Zsolt Zombori. Embedding Mathematical Formulas into Vector Space
Michael Rawson, Christoph Wernhard and Zsolt Zombori. Learning to Identify Useful Lemmas from Failure
Adam Pease and Josef Urban. Towards Open Domain English to Logic Translation
J.D. Phillips. Automated Theorem Provers in Mathematical Research
David Herel and Tomas Mikolov. Thinking Tokens for Language Modeling
Jan Heemstra. Hardware accelerated intelligent theorem proving
Mikolas Janota, Chad Brown and Cezary Kaliszyk. A Benchmark for Infinite Models in SMT (Ongoing work)
Viktor Kjellberg, Daniel Enström and Moa Johansson. Reasoning or Spurious Correlations? Applying transformers to propositional logic
Alexei Lisitsa. Towards computer-assisted proofs of parametric Andrews-Curtis simplifications
Edvard Holden and Konstantin Korovin. Graph Sequence Learning for Premise Selection
Zarathustra Goertzel. Formal Ethics Ontology in SUMO: Progress Report and Lessons Learned

Special AITP track at TABLEAUX'23

There will be a special AITP track at TABLEAUX'23 where full versions of the papers can be submitted.

Program Committee (TBC)

Jasmin Christian BlanchetteINRIA Nancy
Michael R. Douglas (co-chair)Stony Brook University
Ulrich FurbachUniversity of Koblenz
Thibault GauthierCzech Technical University in Prague
Thomas C. Hales (co-chair)University of Pittsburgh
Sean HoldenUniversity of Cambridge
Mikoláš JanotaUniversity of Lisbon
Cezary Kaliszyk (co-chair)University of Innsbruck
Michael KinyonUniversity of Denver
Peter KoepkeUniversity of Bonn
Michael KohlhaseFAU Erlangen-Nürnberg
Konstantin KorovinThe University of Manchester
Ramana KumarDeepMind
Adam PeaseArticulate Software
Michael RawsonTU Wien
Stephan Schulz (co-chair)DHBW Stuttgart
Christian SzegedyGoogle Research
Josef Urban (co-chair)Czech Technical University in Prague
Sean WelleckUniversity of Washington
Zsolt ZomboriAlfréd Rényi Institute of Mathematics

AITP Program



September 3
19:30 dinner


September 4
9:00-10:15 Chair: Martin Suda Welcome

Moa Johansson
Exploring Mathematical Conjecturing with Large Language Models(55m)

David Herel and Tomas Mikolov
Thinking Tokens for Language Modeling (20m)

10:15-10:45 coffee break
10:45-12:05 Chair: Konstantin Korovin Ryutaro Yamauchi, Sho Sonoda, Akiyoshi Sannnai and Wataru Kumagai
Markup Language for Mathematical Reasoning with LLMs (30m)

Ádám Fraknói, Andras Kornai and Zsolt Zombori
Embedding Mathematical Formulas into Vector Space (20m)

Viktor Kjellberg, Daniel Enström and Moa Johansson
Reasoning or Spurious Correlations? Applying transformers to propositional logic (30m)

12:05-13:30 lunch
16:30-17:00 coffee break
17:00-19:00 Chair: Joao Araujo Kai Fong Ernest Chong
Algebraic Machine Reasoning: How inductive reasoning reduces to algebraic computations (30m)

Thibault Gauthier, Miroslav Olsak and Josef Urban
Improvements in Program Synthesis for Integer Sequences (30m)

Alexei Lisitsa
Towards computer-assisted proofs of parametric Andrews-Curtis simplifications (30m)

19:00 dinner


September 5
9:00-10:15 Chair: Alexei Lisitsa Sergei Gukov
Searching for ribbons with machine learning (55m)

Jan Jakubuv and Cezary Kaliszyk
VizAR: The Proof Navigator (20m)

10:15-10:45 coffee break
10:45-12:05 Chair: Michael Douglas Eric Mjolsness
AI and Theorem-Proving for Science: Towards AI for mathematical modeling of complex physical and biological systems (with aspects of “Feynman on AI ...” book chapter) (60m)

12:05-13:30 lunch
16:30-17:00 coffee break
17:00-19:00 Chair: Moa Johansson Kaiyu Yang
LeanDojo: Theorem Proving with Retrieval-Augmented Language Models (55m)

Filip Bártek and Martin Suda
Robust Strategy Schedule Optimization for an Automatic Theorem Prover (30m)

Jan Jakubuv, Karel Chvalovský, Zarathustra Goertzel, Cezary Kaliszyk, Miroslav Olšák, Bartosz Piotrowski, Stephan Schulz, Martin Suda and Josef Urban
MizAR 60 for Mizar 50 (30m)

19:00 dinner


September 6
9:00-10:15 Chair: Stephan Schulz Alison Pease
Studies of Mathematical Practice and Lessons for ATP (55m)

Adam Pease and Josef Urban
Towards Open Domain English to Logic Translation (20m)

10:15-10:45 coffee break
10:45-12:25 Chair: Cezary Kaliszyk Zarathustra Goertzel
Formal Ethics Ontology in SUMO: Progress Report and Lessons Learned (30m)

J.D. Phillips.
Automated Theorem Provers in Mathematical Research (40m)

Mario Carneiro, Chad Brown and Josef Urban
Automated Theorem Proving for Metamath (30m)

12:30-14:00 lunch
17:00-17:30 coffee break
17:30-19:00 Chair: Josef Urban Panel Discussion (B. Goertzel and T. Mikolov remotely and M. Carneiro, M. Douglas, M. Johansson, A. Kornai, A. Pease, S. Schulz locally)
LLMs vs Math/TP vs AGI (90m)

19:00 dinner


September 7
9:00-10:20 Chair: Mario Carneiro Sankalp Gambhir, Simon Guilloud, Dragana Milovancevic, Philipp Rummer and Viktor Kuncak
LISA Tool Integration and Education Plans (30m)

Bartosz Piotrowski, Ramon Fernández Mir and Edward Ayers
Machine-Learned Premise Selection for Lean (20m)

Edvard Holden and Konstantin Korovin
Graph Sequence Learning for Premise Selection (30m)

10:20-10:50 coffee break
10:50-12:00 Chair: Thibault Gauthier Michael Rawson, Christoph Wernhard and Zsolt Zombori
Learning to Identify Useful Lemmas from Failure (35m)

Karel Chvalovský, Konstantin Korovin, Jelle Piepenbrock and Josef Urban.
Guiding an Instantiation Prover with Graph Neural Networks (35m)

12:00-13:30 lunch
16:30-17:00 coffee break
17:00-19:00 Chair: Zsolt Zombori Sean Holden
Three Decades of Learning to Solve Satisfiability Problems(60m)

Dylan Zhang, Talia Ringer and Emily First
Getting More out of Large Language Models for Proofs (30m)

Martin Suda
Descending to Complementarity (30m)

19:00 dinner


September 8
9:00-10:10 Chair: TBA Boris Shminke
gym-saturation: Gymnasium environments for saturation provers (system description) (35m)

Jan Heemstra
Hardware accelerated intelligent theorem proving (35m)

10:15-10:45 coffee break
10:45-12:00 Chair: TBA Jelle Piepenbrock, Mikolas Janota, Jan Jakubuv and Bartosz Piotrowski
Project Proposal: SMT Instantiation via Graph Neural Networks (25m)

Mikolas Janota, Chad Brown and Cezary Kaliszyk
A Benchmark for Infinite Models in SMT (Ongoing work) (25m)

Liao Zhang
Inductive Logic Programming for Interactive Theorem Proving (25m)

12:30-14:00 lunch and departure from the center


September 9 (optional for participants staying in Aussois)
10:00-16:30 Excursion/Discussions in groups


Picture from the conference

Pictures from the previous conferences

Location, Prices and Further Local Information

The conference will take place from September 3 to September 8 2023 in the CNRS Paul-Langevin Conference Center located in the mountain village of Aussois in Savoy. Dominated by the "Dent Parrachée", one of the highest peaks of La Vanoise, Aussois is located on a sunny plateau at 1500 m altitude, offering a magnificent panorama of the surrounding mountains and a direct access to the downhill ski slopes or cross country slopes in winter. The total price for accommodation and food for the five days will be around 600 EUR.

Arrival/Departure:

Aussois is less than 2h from the airports of Lyon, Geneve, Chambery, Annecy, Grenoble and Turin. There are trains and buses to Modane from these airports. Aussois is 8km from the Modane TGV station with direct trains from/to Paris. We will organize a bus for the participants from there to Aussois. Further buses to these airports / station can be found here and it is easy to get a taxi from Modane to Aussois and back.