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 "the synchronizing probability function for primitive sets of matrices"):
  Abstract: Motivated by recent results relating synchronizing DFAs and primitive sets, we tackle the synchronization process and the related longstanding \v{C}ern\'{y} conjecture by studying the primitivity phenomenon for sets of nonnegative matrices having neither zero-rows nor zero-columns. We formulate the primitivity process in the setting of a two-player probabilistic game and we make use of convex optimization techniques to describe its behavior. We develop a tool for approximating and upper bounding the exponent of any primitive set and supported by numerical results we state a conjecture that, if true, would imply a quadratic upper bound on the reset threshold of a new class of automata.

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 "on random primitive sets directable ndfas and the generation of slowly synchronizing dfas":
    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 randomized generation of slowly 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 "primitive sets of nonnegative matrices and synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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-5 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "synchronizing automata with extremal properties":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  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")
  Member "the complexity of finding reset words in finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on the synchronization of planar 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)