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 "aperiodic weighted automata and weighted first order logic"):
  Abstract: By fundamental results of Schutzenberger, McNaughton and Papert from the 1970s, the classes of first-order definable and aperiodic languages coincide. Here, we extend this equivalence to a quantitative setting. For this, weighted automata form a general and widely studied model. We define a suitable notion of a weighted first-order logic. Then we show that this weighted first-order logic and aperiodic polynomially ambiguous weighted automata have the same expressive power. Moreover, we obtain such equivalence results for suitable weighted sublogics and finitely ambiguous or unambiguous aperiodic weighted automata. Our results hold for general weight structures, including all semirings, average computations of costs, bounded lattices, and others.

Includes members:
  Member "pumping lemmas for weighted automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a robust class of linear recurrence sequences")
  Member "copyless cost register automata structure expressiveness and closure properties":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "pumping lemmas for weighted automata")
  Member "weighted automata and logics for infinite nested words":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "generalizing input driven languages theoretical and practical benefits")
  Member "multi weighted automata and mso logic":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "controller synthesis for mdps and frequency ltl setminus gu")
  Member "expressiveness and closure properties for quantitative languages":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "weighted pcl over product valuation monoids")
  Member "deciding unambiguity and sequentiality from a finitely ambiguous max plus automaton":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "pumping lemmas for weighted automata")

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)