3 papers
cs.CC2026
Recurrent Graph Neural Networks and Arithmetic Circuits
Timon Barlag, Vivian Holzapfel, Laura Strieker +2
We characterise the computational power of recurrent graph neural networks (GNNs) in terms of arithmetic circuits over the real numbers. Our networks are not restricted to aggregat…
cs.LO2025
Logical Approaches to Non-deterministic Polynomial Time over Semirings
Timon Barlag, Nicolas Fröhlich, Teemu Hankala +6
We provide a logical characterization of non-deterministic polynomial time defined by BSS machines over semirings via existential second-order logic interpreted in the semiring sem…
cs.LO2025
Logic and Computation through the Lens of Semirings
Timon Barlag, Nicolas Fröhlich, Teemu Hankala +6
We study the expressivity and computational aspects of first-order logic and its extensions in the semiring semantics developed by Grädel and Tannen. We characterize the complexit…