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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 complexity…