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 interplay between babai and v c ern y s conjectures"):
  Abstract: Motivated by the Babai conjecture and the Cerny conjecture, we study the reset thresholds of automata with the transition monoid equal to the full monoid of transformations of the state set. For automata with $n$ states in this class, we prove that the reset thresholds are upper-bounded by $2n^2-6n+5$ and can attain the value $\tfrac{n(n-1)}{2}$. In addition, we study diameters of the pair digraphs of permutation automata and construct $n$-state permutation automata with diameter $\tfrac{n^2}{4} + o(n^2)$.

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 "primitive sets of nonnegative matrices and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "reachability of consensus and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "on the synchronizing probability function and the triple rendezvous time for synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "reset complexity of ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a characterization of completely reachable automata")
  Member "subset synchronization of transitive automata":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on completely reachable automata and subset reachability")
  Member "preset distinguishing sequences and diameter of transformation semigroups":
    also connected through other hyperedges:
      (none)
  Member "primitive digraphs with large exponents and slowly synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "optimal synchronization of partial deterministic finite 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)