7 papers
Approximate Functional Dependencies---Implication Problem Revisited
Nicolas Fröhlich, Matilda Häggblom, Åsa Hirvonen +1
Functional dependencies are an important and well-studied class of database constraints that correspond to a notion expressed by dependence atoms in team logic. In practice, data o…
Aspects of Coherence in Dependence Logic
Timon Barlag, Nicolas Fröhlich, Miika Hannula +4
Dependence logic extends first-order logic with dependence atoms asserting that the value of a variable is determined by the values of certain other variables. The semantics of dep…
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…
Disjunctions of Two Dependence Atoms
Nicolas Fröhlich, Phokion G. Kolaitis, Arne Meier
Dependence logic is a formalism that augments the syntax of first-order logic with dependence atoms asserting that the value of a variable is determined by the values of some other…
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…
Facets in Argumentation: A Formal Approach to Argument Significance
Johannes Fichte, Nicolas Fröhlich, Markus Hecher +4
Argumentation is a central subarea of Artificial Intelligence (AI) for modeling and reasoning about arguments. The semantics of abstract argumentation frameworks (AFs) is given by…