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: "on two algorithmic problems about synchronizing automata"
  Abstract: Under the assumption $\mathcal{P} \neq \mathcal{NP}$, we prove that two natural problems from the theory of synchronizing automata cannot be solved in polynomial time. The first problem is to decide whether a given reachable partial automaton is synchronizing. The second one is, given an $n$-state binary complete synchronizing automaton, to compute its reset threshold within performance ratio less than $d \ln{(n)}$ for a specific constant $d>0$.

Connected through hyperedge HE-1 (induced by source paper "optimal synchronization of partial deterministic finite automata"):
  with members:
    - "lower bounds for synchronizing word lengths in partial automata"
    - "fast synchronization of random automata"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "generating shortest synchronizing sequences using answer set programming"
    - "on the probability of being synchronizable"

Connected through hyperedge HE-2 (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 and careful synchronization of binary finite automata"
    - "subset synchronization of transitive automata"

Connected through hyperedge HE-3 (induced by source paper "extending word problems in deterministic finite automata"):
  with members:
    - "improving the upper bound on the length of the shortest reset word"
    - "completely reachable automata"
    - "synchronizing automata with extremal properties"
    - "subset synchronization of transitive automata"
    - "a note on a recent attempt to improve the pin frankl bound"
    - "strong inapproximability of the shortest reset word"
    - "on the probability of being synchronizable"
    - "modifying the upper bound on the length of minimal synchronizing word"

Connected through hyperedge HE-4 (induced by source paper "implementation of the algorithm for testing an automaton for synchronization in linear expected time"):
  with members:
    - "on the probability of being synchronizable"

Connected through hyperedge HE-5 (induced by source paper "on the synchronization of planar automata"):
  with members:
    - "subset synchronization of transitive automata"
    - "strong inapproximability of the shortest reset word"
    - "the complexity of finding reset words in finite automata"
    - "slowly synchronizing automata and digraphs"

Connected through hyperedge HE-6 (induced by source paper "approximating the maximum number of synchronizing states in automata"):
  with members:
    - "subset synchronization of transitive automata"

Connected through hyperedge HE-7 (induced by source paper "algebraic synchronization criterion and computing reset words"):
  with members:
    - "experiments with synchronizing automata"
    - "fast synchronization of random automata"
    - "synchronizing automata with large reset lengths"
    - "strong inapproximability of the shortest reset word"
    - "primitive digraphs with large exponents and slowly synchronizing automata"
    - "on the probability to be synchronizable"
    - "on the probability of being synchronizable"
    - "independent sets of words and the synchronization problem"

Connected through hyperedge HE-8 (induced by source paper "testing for synchronization"):
  with members:
    - "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"
    - "the road coloring problem"

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)