ReFL

Réflexions sur les Fondements de la Logique


Projects

Will Faught

2 minutes

Reading/working group #

Normalisation by Evaluation (NbE) #

Participants: Vincent Moreau, Ambroise Lafont, Tito, Valentin Maestracci, Sidney Congard.

Reading of Kant (Ended) #

Participants: Ambroise Lafont, Sidney Congard, Jérémy Hervé, Luc Pommeret, Paul Séjourné.

Reading of Wittgenstein (soon) #

Participants (tbc): Vincent Moreau, Tito, Boris Eng, Sidney Congard.

Developement of Girard’s Transcendental Syntax #

A programming guide to transcendental syntax #

Participants: Boris Eng.
The goal is to develop a programming guide (in the idea of Software Foundations for Coq) in order to make the ideas of Girard's transcendental syntax more accessible. Eng's implementation of stellar resolution, named LSC (Large Star Collider) will be used for that purpose. Exercises (with solutions) have to be designed to open the development of transcendental syntax to contributions.

A graphical user interface for stellar resolution #

Participants: Pablo Donato
In order to explain how stellar resolution works in a more convenient way, it would be better to have a graphical interface in which it is possible to: add stars to a constellation (reference constellation in Eng's thesis), put stars in an interaction space, manually select stars from the reference constellation and make them interact in the interaction space (possible interactions must be displayed before actually triggering the interaction). Another possible feature is to manually construct diagrams and apply fusion steps.

Tunes OS: a reflexive operating system #

Participants: Jérémy Hervé, Faré.
(Soon)

Some vague ideas to explore #

  • Stellar resolution for symbolic execution
  • Metalanguages for stellar resolution
  • Local synchronisation of stars