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 "extending word problems in deterministic finite automata"):
  Abstract: A word $w$ is \emph{extending} a subset of states $S$ of a deterministic finite automaton, if the set of states mapped to $S$ by $w$ (the preimage of $S$ under the action of $w$) is larger than $S$. This notion together with its variations has particular importance in the field of synchronizing automata, where a number of methods and algorithms rely on finding (short) extending words. In this paper we study the complexity of several variants of extending word problems: deciding whether there exists an extending word, an extending word that extends to the whole set of states, a word avoiding a state, and a word that either extends or shrinks the subset. Additionally, we study the complexity of these problems when an upper bound on the length of the word is also given, and we consider the subclasses of strongly connected, synchronizing, binary, and unary automata. We show either hardness or polynomial algorithms for the considered variants.

Includes members:
  Member "improving the upper bound on the length of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "completely reachable automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on completely reachable automata and subset reachability")
  Member "synchronizing automata with extremal properties":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "subset synchronization of transitive automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on completely reachable automata and subset reachability")
  Member "a note on a recent attempt to improve the pin frankl bound":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "cerny starke conjecture from the sixties of xx century")
  Member "strong inapproximability of the shortest reset word":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a linear bound on the k rendezvous time for primitive sets of nz matrices")
  Member "on two algorithmic problems about synchronizing automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (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-8 (induced by source paper "optimal synchronization of partial deterministic finite 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)