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 "synchronization problems in automata without non trivial cycles"):
  Abstract: We study the computational complexity of various problems related to synchronization of weakly acyclic automata, a subclass of widely studied aperiodic automata. We provide upper and lower bounds on the length of a shortest word synchronizing a weakly acyclic automaton or, more generally, a subset of its states, and show that the problem of approximating this length is hard. We investigate the complexity of finding a synchronizing set of states of maximum size. We also show inapproximability of the problem of computing the rank of a subset of states in a binary weakly acyclic automaton and prove that several problems related to recognizing a synchronizing subset of states in such automata are NP-complete.

Includes members:
  Member "improving the upper bound on the length of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "finding short synchronizing words for prefix codes":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on nonnegative integer matrices and short killing words")
  Member "subset synchronization in monotonic automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "synchronization under dynamic constraints")
  Member "approximating the maximum number of synchronizing states in automata":
    also connected through other hyperedges:
      (none)
  Member "completely reachable automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on completely reachable automata and subset reachability")
  Member "primitive sets of nonnegative matrices and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "subset synchronization and careful synchronization of binary finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on completely reachable automata and subset reachability")
  Member "subset synchronization of transitive automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on completely reachable automata and subset reachability")

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)