Title
Safe dependency atoms and possibility operators in team semantics
Abstract
I consider the question of which dependencies are safe for a Team Semantics-based logic FO(D), in the sense that they do not increase its expressive power over sentences when added to it. I show that some dependencies, like totality, non-constancy and non-emptiness, are safe for all logics FO(D), and that other dependencies, like constancy, are not safe for FO(D) for some choices of D despite being strongly first order (that is, safe for FO(∅)). I furthermore show that the possibility operator ⋄ϕ, which holds in a team if and only if ϕ holds in some nonempty subteam, can be added to any logic FO(D) without increasing its expressive power over sentences.
Year
DOI
Venue
2021
10.1016/j.ic.2020.104593
Information and Computation
Keywords
DocType
Volume
Team semantics,Dependence logic,First order logic,Second order logic
Journal
278
ISSN
Citations 
PageRank 
0890-5401
0
0.34
References 
Authors
0
1
Name
Order
Citations
PageRank
Pietro Galliani147.54