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 synchronization of planar automata"):
  Abstract: Planar automata seems to be representative of the synchronizing behavior of deterministic finite state automata. We conjecture that \v{C}erny's conjecture holds true, if and only if, it holds true for planar automata. In this paper we have gathered some evidence concerning this conjecture. This evidence amounts to show that the class of planar automata is representative of the algorithmic hardness of synchronization

Includes members:
  Member "subset synchronization of transitive automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on completely reachable automata and subset reachability")
  Member "strong inapproximability of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "on two algorithmic problems about synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "the complexity of finding reset words in finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the synchronizing probability function for primitive sets of matrices")
  Member "slowly synchronizing automata and digraphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "cerny starke conjecture from the sixties of xx century")

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)