human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "complexity of controlled bad sequences over finite sets of mathbb n d"):
  Abstract: We provide lower and upper bounds for the length of controlled bad sequences over the majoring and the minoring ordering for finite powersets of $\mathbb{N}^k$. The results are obtained by bounding the length of such sequences by functions from the Cichon hierarchy. This also allows us to translate these results to bounds over the fast-growing complexity classes. The obtained bounds are tight for the majoring ordering, which solves a problem left open in [Abriola et al, 2015]. Further, to the best of our knowledge this is the first such upper bound provided for the minoring ordering.

Includes members:
  Member "complexity hierarchies beyond elementary":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "ackermannian and primitive recursive bounds with dickson s lemma":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "affine extensions of integer vector addition systems with states")
  Member "multiply recursive upper bounds with higman s lemma":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "alternating automata on data trees and xpath satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "scalar and vectorial mu calculus with atoms")

Question: Please tell me which class the source paper belongs to. The 40 classes are: cs.NA(Numerical Analysis), cs.MM(Multimedia), cs.LO(Logic in Computer Science), cs.CY(Computers and Society), cs.CR(Cryptography and Security), cs.DC(Distributed, Parallel, and Cluster Computing), cs.HC(Human-Computer Interaction), cs.CE(Computational Engineering, Finance, and Science), cs.NI(Networking and Internet Architecture), cs.CC(Computational Complexity), cs.AI(Artificial Intelligence), cs.MA(Multiagent Systems), cs.GL(General Literature), cs.NE(Neural and Evolutionary Computing), cs.SC(Symbolic Computation), cs.AR(Hardware Architecture), cs.CV(Computer Vision and Pattern Recognition), cs.GR(Graphics), cs.ET(Emerging Technologies), cs.SY(Systems and Control), cs.CG(Computational Geometry), cs.OH(Other Computer Science), cs.PL(Programming Languages), cs.SE(Software Engineering), cs.LG(Machine Learning), cs.SD(Sound), cs.SI(Social and Information Networks), cs.RO(Robotics), cs.IT(Information Theory), cs.PF(Performance), cs.CL(Computation and Language), cs.IR(Information Retrieval), cs.MS(Mathematical Software), cs.FL(Formal Languages and Automata Theory), cs.DS(Data Structures and Algorithms), cs.OS(Operating Systems), cs.GT(Computer Science and Game Theory), cs.DB(Databases), cs.DL(Digital Libraries), cs.DM(Discrete Mathematics). Directly output the class name.

gpt: cs.LO(Logic in Computer Science)