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 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 $d>0$.

Includes members:
  Member "synchronizing weighted automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of synchronizing markov decision processes")
  Member "subset synchronization and careful synchronization of binary finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on completely reachable automata and subset reachability")
  Member "on the probability to be synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "algebraic synchronization criterion and computing reset words")
  Member "on the probability of being synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-4 (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-5 (induced by source paper "the synchronizing probability function for primitive sets of matrices")
  Member "approximating the minimum length of synchronizing words is hard":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "finding dfas with maximal shortest synchronizing word length")

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)