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: "infinite synchronizing words for probabilistic automata erratum"
  Abstract: In [1], we introduced the weakly synchronizing languages for probabilistic automata. In this report, we show that the emptiness problem of weakly synchronizing languages for probabilistic automata is undecidable. This implies that the decidability result of [1-3] for the emptiness problem of weakly synchronizing language is incorrect.

Connected through hyperedge HE-1 (induced by source paper "distribution based objectives for markov decision processes"):
  with members:
    - "controlling a population"
    - "on the polytope escape problem for continuous linear dynamical systems"
    - "robust synchronization in markov decision processes"
    - "ultimate positivity is decidable for simple linear recurrence sequences"
    - "decidable problems for probabilistic automata on infinite words"

Connected through hyperedge HE-2 (induced by source paper "controlling a population"):
  with members:
    - "automatic analysis of expected termination time for population protocols"
    - "fixed dimensional energy games are in pseudo polynomial time"
    - "robust synchronization in markov decision processes"
    - "reachability games on extended vector addition systems with states"

Connected through hyperedge HE-3 (induced by source paper "the complexity of synchronizing markov decision processes"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "controlling a population"
    - "synchronizing data words for register automata"
    - "computation tree logic for synchronization properties"
    - "trace refinement in labelled markov decision processes"
    - "synchronizing weighted automata"
    - "probabilistic bisimulation naturally on distributions"
    - "fast synchronization of random automata"

Connected through hyperedge HE-4 (induced by source paper "robust synchronization in markov decision processes"):
  with members:
    - "synchronizing objectives for markov decision processes"
    - "on computing fixpoints in well structured regular model checking with applications to lossy channel systems"

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)