On Counting Graphs for Modal Logic with Counting

arXiv:2610.26187 · cs.AI, cs.LO · Submitted 2026-10-19 · Read on arXiv

cs.AI, cs.LO

Submitted: 2026-10-19

Updated: 2026-10-19

License: http://creativecommons.org/licenses/by/4.0/

The gist: In this paper, we study the theoretical computational complexity of counting trees and graphs that are classified positively by a graph neural networks, or said equivalently that satisfy a given

Abstract

In this paper, we study the theoretical computational complexity of counting trees and graphs that are classified positively by a graph neural networks, or said equivalently that satisfy a given formula of modal logic with counting. We also study convergence.

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