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 the upward downward closures of petri nets"):
  Abstract: We study the size and the complexity of computing finite state automata (FSA) representing and approximating the downward and the upward closure of Petri net languages with coverability as the acceptance condition. We show how to construct an FSA recognizing the upward closure of a Petri net language in doubly-exponential time, and therefore the size is at most doubly exponential. For downward closures, we prove that the size of the minimal automata can be non-primitive recursive. In the case of BPP nets, a well-known subclass of Petri nets, we show that an FSA accepting the downward/upward closure can be constructed in exponential time. Furthermore, we consider the problem of checking whether a simple regular language is included in the downward/upward closure of a Petri net/BPP net language. We show that this problem is EXPSPACE-complete (resp. NP-complete) in the case of Petri nets (resp. BPP nets). Finally, we show that it is decidable whether a Petri net language is upward/downward closed. To this end, we prove that one can decide whether a given regular language is a subset of a Petri net coverability language.

Includes members:
  Member "complexity of regular abstractions of one counter languages":
    also connected through other hyperedges:
      (none)
  Member "unboundedness and downward closures of higher order pushdown automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "regular separability and intersection emptiness are independent problems")
  Member "an approach to computing downward closures":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "reachability in vector addition systems is primitive recursive in fixed dimension")
  Member "a characterization for decidable separability by piecewise testable languages":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "regular separability and intersection emptiness are independent problems")
  Member "finite automata for the sub and superword closure of cfls descriptional and computational complexity":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "computing downward closures for stacked counter automata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "on selective unboundedness of vass":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "parametric verification an introduction")

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)