2023 Summer School on Proof Theory and its Applications

When: From Monday, July 10 until Wednesday, July 12, 2023.

Venue: Faculty of Mathematics and Informatics, University of Barcelona: Gran Via de les Corts Catalanes, 585, 08007 Barcelona.

Overview:

The 5th International Summer School on Proof Theory and its Applications will take place from the 10th of July to the 12th of July 2023 in Barcelona, Spain. It is organized by the Universitat de Barcelona and the Technical University of Catalonia, under the auspices of The Proof Society.

The Proof Society has recently been formed to support the notion of proof in its broadest sense, through a series of suitable activities; to be therefore inclusive in reaching out to all scientific areas which consider proof as an object in their studies; to enable the community to shape its future by identifying, formulating and communicating its most important goals; to actively promote proof to increase its visibility and representation.

The aim of the Summer School is to cover basic and advanced topics in proof theory. The focus of the fifth edition will be computational content of proofs, proof complexity, proof theory and philosophical aspects of proof. Other areas will be represented through research talks at the following workshop. The intended audience is advanced master students, PhD students, postdocs and experienced researchers in mathematics, computer science and philosophy.

The Summer School is co-located with the 2023 Workshop on Proof Theory and its Applications in Barcelona (13-14 July). We invite proposals for contributed talks at the workshop. These can be on published or unpublished work, as well as work in progress. The best talk presented by a student will receive an award from The Proof Society. You can submit your proposal at the 2023 Workshop on Proof Theory and its Applications webpage.
  • Registration details can be found here.

Registration closes: June 26th, Extended to July 2th AoE .

Previous editions can be found at the Proof Society webpage.

Schedule:

The Summer School takes place in room B5 of the Faculty of Mathematics and Informatics, University of Barcelona (see Contact & Travel Info).

TimeJuly 10July 11July 12
9:30 - 10:00Registration
10:00 - 10:10Opening
10:10 - 11:00Albert Atserias: Proof Complexity of Propositional Resolution (I)Albert Atserias: Proof Complexity of Propositional Resolution (II)Albert Atserias: Proof Complexity of Propositional Resolution (III)
11:00 - 11:30Coffee breakCoffe breakCoffee break
11:30 - 12:20Elaine Pimentel: Proof theory for ecumenical systems (I)Matthieu Sozeau: MetaCoq, CertiCoq and Certified Extraction of Dependently-Typed Programs (II)Sara Uckelman: The Historical Origins of Proof Theory: Proofs in 13th and 14th Centuries (II)
12:20 - 12:30MinibreakMini breakMinibreak
12:30 - 13:20Elaine Pimentel: Proof theory for ecumenical systems (II)Matthieu Sozeau: MetaCoq, CertiCoq and Certified Extraction of Dependently-Typed Programs (III)Sara Uckelman: The Historical Origins of Proof Theory: Proofs in 13th and 14th Centuries (III)
13:20 - 15:30Lunch breakLunck breakLunch break
15:30 - 16:20Matthieu Sozeau: MetaCoq, CertiCoq and Certified Extraction of Dependently-Typed Programs (I)Elaine Pimentel: Proof theory for ecumenical systems (III)Lev Beklemishev: Reflection Algebras: an introduction (II)
16:20 - 16:40Coffe breakCoffee breakCoffee break
16:40 - 17:30Sara Uckelman: The Historical Origins of Proof Theory: Proofs in 13th and 14th Centuries (I)Lev Beklemishev: Reflection Algebras: an introduction (I)Lev Beklemishev: Reflection Algebras: an introduction (III)
17: 30 - 17:40Closing

Scientific programme

The Summer School will provide the following courses:

  • Albert Atserias (Technical University of Catalonia) : Proof Complexity of Propositional Resolution ;

  • Lev Beklemishev (Steklov Mathematical Institute of Russian Academy of Sciences) : Reflection algebras: an introduction ;

  • Matthieu Sozeau (Inria) : MetaCoq, CertiCoq and Certified Extraction of Dependently-Typed Programs ;

  • Elaine Pimentel (University College London) : Proof theory for ecumenical systems ;

  • Sara Uckelman (Durham University) : The Historical Origins of Proof Theory: Proofs in 13th and 14th Centuries .

Talks

Abstracts:

Posters:

Posters designs by Isabel Hortelano Martín, June 2023.

Social Events

There will be a Cocktail party which will take place Wednesday, July 12th at 20:00 at the roof terrace of the Barceló Raval hotel.

Further details will be announced soon.

Committee

Program Committee
Bahareh Afshari, University of Gothenburg
Matthias Baaz, Technical University of Wien
Arnold Beckmann, Swansea University
Ilario Bonacina, Technical University of Catalonia
David Fernández-Duque, Universitat de Barcelona (chair)
Balthasar Grabmayr, University of Haifa
Rosalie Iemhoff, Utrecht University
Joost J. Joosten, Universitat de Barcelona (chair)
Antonina Kolokolova, Memorial University of Newfoundland
Cosimo Perini Brogi, IMT School for Advanced Studies Lucca
Norbert Preining, Mercari Inc. Japan
Sofía Santiago-Fernández, Universitat de Barcelona
Andreas Weiermann, Ghent University
Local Organising Committee
Albert Atserias, Technical University of Catalonia
Ilario Bonacina, Technical University of Catalonia
David Fernández-Duque, Universitat de Barcelona (chair)
Damiano Fornasiere, Universitat de Barcelona
Petia Guintchev, Universitat de Barcelona
Isabel Hortelano Martín, Universitat de Barcelona
Joost J. Joosten, Universitat de Barcelona (chair)
Miriam Kurtzhals, Universitat de Barcelona
Miguel Martins, Universitat de Barcelona
Tommaso Moraschini, Universitat de Barcelona
Vicent Navarro Arroyo, Technical University of Catalonia
Sofía Santiago-Fernández, Universitat de Barcelona

Contact & Travel Info

The Summer School will be held in the room B5 of the Faculty of Mathematics and Informatics, University of Barcelona: Gran Via de les Corts Catalanes, 585, 08007 Barcelona.

Useful phone numers:

  • Citizen inquiries: 012
  • Emergency: 112
  • Health related issues: 061

For questions please contact one of the Local Organising Committee members.