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 "on functions weakly computable by pushdown petri nets and related systems"):
  Abstract: We consider numerical functions weakly computable by grammar-controlled vector addition systems (GVASes, a variant of pushdown Petri nets). GVASes can weakly compute all fast growing functions $F_\alpha$ for $\alpha<\omega^\omega$, hence they are computationally more powerful than standard vector addition systems. On the other hand they cannot weakly compute the inverses $F_\alpha^{-1}$ or indeed any sublinear function. The proof relies on a pumping lemma for runs of GVASes that is of independent interest.

Includes members:
  Member "reachability in vector addition systems is primitive recursive in fixed dimension":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "the reachability problem for petri nets is not elementary":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "reasoning about data repetitions with counter systems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "complexity hierarchies beyond elementary":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "on boundedness problems for pushdown vector addition systems":
    also connected through other hyperedges:
      (none)
  Member "on the coverability problem for pushdown vector addition systems in one dimension":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "coverability is undecidable in one dimensional pushdown vector addition systems with resets")
  Member "the power of priority channel systems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "the reachability problem for vector addition systems with a stack is not elementary":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "coverability is undecidable in one dimensional pushdown vector addition systems with resets")

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.FL(Formal Languages and Automata Theory)