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 "alternating private alternating and quantum alternating realtime automata"):
  Abstract: We present new results on realtime alternating, private alternating, and quantum alternating automaton models. Firstly, we show that the emptiness problem for alternating one-counter automata on unary alphabets is undecidable. Then, we present two equivalent definitions of realtime private alternating finite automata (PAFAs). We show that the emptiness problem is undecidable for PAFAs. Furthermore, PAFAs can recognize some nonregular unary languages, including the unary squares language, which seems to be difficult even for some classical counter automata with two-way input. Regarding quantum finite automata (QFAs), we show that the emptiness problem is undecidable both for universal QFAs on general alphabets, and for alternating QFAs with two alternations on unary alphabets. On the other hand, the same problem is decidable for nondeterministic QFAs on general alphabets. We also show that the unary squares language is recognized by alternating QFAs with two alternations.

Includes members:
  Member "the minimum amount of useful space new results and new directions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "classical automata on promise problems")
  Member "finite state verifiers with constant randomness":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "checking generalized debates with small space and randomness")
  Member "classical and quantum realtime alternating automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "quantum finite automata survey status and research directions")
  Member "quantum finite automata a modern introduction":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "classically time controlled quantum automata definition and properties")
  Member "new results on the minimum amount of useful space":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "uncountable classical and quantum complexity classes")
  Member "unbounded error quantum computation with small space bounds":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "quantum finite automata survey status and research directions")
  Member "languages recognized by nondeterministic quantum finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "nonuniform families of polynomial size quantum finite automata and quantum logarithmic space computation with polynomial size advice")

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)