This paper motivates the logic PCON, an extension of connexivity to conjunction and disjunction, called poly-connexivity. The motivation arises from differences in intonational stress patterns due to focus, where PCON turns out to be a logic of intentionally stressed connectives in focus.
"Poly-Connexivity: Connexive Conjunction and Disjunction." Notre Dame J. Formal Logic 63 (3) 343 - 355, August 2022. https://doi.org/10.1215/00294527-2022-0024