Article Dans Une Revue Logical Methods in Computer Science Année : 2021

Successor-Invariant First-Order Logic on Classes of Bounded Degree

Résumé

We study the expressive power of successor-invariant first-order logic, which is an extension of first-order logic where the usage of an additional successor relation on the structure is allowed, as long as the validity of formulas is independent of the choice of a particular successor on finite structures. We show that when the degree is bounded, successor-invariant first-order logic is no more expressive than first-order logic.

Fichier principal
Vignette du fichier
2009.11758.pdf (455 Ko) Télécharger le fichier
Origine Publication financée par une institution
Licence

Dates et versions

hal-04708813 , version 1 (07-01-2025)

Licence

Identifiants

Citer

Julien Grange. Successor-Invariant First-Order Logic on Classes of Bounded Degree. Logical Methods in Computer Science, 2021, Volume 17, Issue 3, ⟨10.46298/lmcs-17(3:20)2021⟩. ⟨hal-04708813⟩

Collections

47 Consultations
29 Téléchargements

Altmetric

Partager

  • More