Jour, heure et lieu

Le mercredi à 13h30, salle 3052

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Ce groupe de travail a pour objectif d'échanger et de collaborer autour des problèmes liant théorie des modèles et théorie structurelle des graphes.

Il s’articule autour d’un séminaire mensuel de deux exposés et de réunions de travail hebdomadaires sur des questions de recherche.


Graphes et Logique
Mercredi 26 mars 2025, 13 heures 30, salle 3052
Sylvain Schmitz; Giannos Stamoulis Well quasi-orders and preservation theorems for First-Order Logic; Some extensions of First-Order logic on graphs

This will be a gentle tutorial on mostly standard results about well-quasi-orders (wqo) in a context of graph theory and algorithmic meta-theorems. I intend to cover a few basics of wqo theory, their applications in algorithmic graph theory, a focus on classes of graphs that are well-quasi-ordered by the induced subgraph ordering, along with Pouzet's Conjecture, and finally the generalisation to preservation properties in first-order logic.

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In this tutorial we present a landscape of extensions of first-order logic (on graphs) and we discuss their expressive power and algorithmic results related to them. These extensions involve either additional predicates expressing different types of connectivity or the quantification over vertex sets that are (in a sense) of simple structure.