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 "testing for synchronization"):
  Abstract: We consider the first problem that appears in any application of synchronizing automata, namely, the problem of deciding whether or not a givenn-statek-letter automaton is synchronizing. First we general- ize results from (4),(5) for the case of strongly connected partial automata. Specifically we show that an automaton is synchronizing with probability 1 O( 1 n0.5k ) and present an algorithm with linear in n expected time, while the best known algorithm is quadratic on each instance. This re- sults are interesting due to applications in synchronization of finite state information sources. Next we consider the synchronization of reachable partial automata that has application for splicing systems in the theory of computational biol- ogy. For this case we prove that the problem of testing a given automaton for synchronization is NP-complete.

Includes members:
  Member "on the probability to be synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "algebraic synchronization criterion and computing reset words")
  Member "on two algorithmic problems about synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal synchronization of partial deterministic finite automata")
  Member "on the probability of being synchronizable":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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-4 (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-5 (induced by source paper "finding dfas with maximal shortest synchronizing word length")
  Member "the road coloring problem":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "synchronizing random almost group 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)