human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "subset synchronization and careful synchronization of binary finite automata"
  Abstract: We present a strongly exponential lower bound that applies both to the subset synchronization threshold for binary deterministic automata and to the careful synchronization threshold for binary partial automata. In the later form, the result finishes the research initiated by Martyugin (2013). Moreover, we show that both the thresholds remain strongly exponential even if restricted to strongly connected binary automata. In addition, we apply our methods to computational complexity. Existence of a subset reset word is known to be PSPACE-complete; we show that this holds even under the restriction to strongly connected binary automata. The results apply also to the corresponding thresholds in two more general settings: D1- and D3-directable nondeterministic automata and composition sequences over finite domains.

Connected through hyperedge HE-1 (induced by source paper "on completely reachable automata and subset reachability"):
  with members:
    - "complexity of preimage problems for deterministic finite automata"
    - "improving the upper bound on the length of the shortest reset word"
    - "on the interplay between babai and v c ern y s conjectures"
    - "completely reachable automata"
    - "reachability of consensus and synchronizing automata"
    - "on the synchronizing probability function and the triple rendezvous time for synchronizing automata"
    - "subset synchronization of transitive automata"
    - "a note on a recent attempt to improve the pin frankl bound"

Connected through hyperedge HE-2 (induced by source paper "lower bounds for synchronizing word lengths in partial automata"):
  with members:
    - "finding dfas with maximal shortest synchronizing word length"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "experiments with synchronizing automata"
    - "primitive digraphs with large exponents and slowly synchronizing automata"

Connected through hyperedge HE-3 (induced by source paper "subset synchronization of dfas and pfas and some other results"):
  with members:
    - "lower bounds for synchronizing word lengths in partial automata"
    - "using sat solvers for synchronization issues in non deterministic automata"
    - "experiments with synchronizing automata"

Connected through hyperedge HE-4 (induced by source paper "synchronization problems in automata without non trivial cycles"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "finding short synchronizing words for prefix codes"
    - "subset synchronization in monotonic automata"
    - "approximating the maximum number of synchronizing states in automata"
    - "completely reachable automata"
    - "primitive sets of nonnegative matrices and synchronizing automata"
    - "subset synchronization of transitive automata"
    - "strong inapproximability of the shortest reset word"

Connected through hyperedge HE-5 (induced by source paper "on automata recognizing birecurrent sets"):
  with members:
    - "completely reducible sets"

Connected through hyperedge HE-6 (induced by source paper "on two algorithmic problems about synchronizing automata"):
  with members:
    - "synchronizing weighted automata"
    - "on the probability to be synchronizable"
    - "on the probability of being synchronizable"
    - "the complexity of finding reset words in finite automata"
    - "approximating the minimum length of synchronizing words is hard"

Question: Please tell me which class the center node 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)