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 "symmetric groups and quotient complexity of boolean operations"):
  Abstract: The quotient complexity of a regular language L is the number of left quotients of L, which is the same as the state complexity of L. Suppose that L and L' are binary regular languages with quotient complexities m and n, and that the transition semigroups of the minimal deterministic automata accepting L and L' are the symmetric groups S_m and S_n of degrees m and n, respectively. Denote by o any binary boolean operation that is not a constant and not a function of one argument only. For m,n >= 2 with (m,n) not in {(2,2),(3,4),(4,3),(4,4)} we prove that the quotient complexity of LoL' is mn if and only either (a) m is not equal to n or (b) m=n and the bases (ordered pairs of generators) of S_m and S_n are not conjugate. For (m,n)\in {(2,2),(3,4),(4,3),(4,4)} we give examples to show that this need not hold. In proving these results we generalize the notion of uniform minimality to direct products of automata. We also establish a non-trivial connection between complexity of boolean operations and group theory.

Includes members:
  Member "maximally atomic languages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "towards a theory of complexity of regular languages")
  Member "most complex regular right ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "complexity of suffix free regular languages")
  Member "universal witnesses for state complexity of basic operations combined with reversal":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "universal witnesses for state complexity of boolean operations and concatenation combined with star")
  Member "quotient complexities of atoms of regular languages":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "complexity of left ideal suffix closed and suffix free regular languages")
  Member "theory of atomata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a co algebraic theory of succinct automata")
  Member "quotient complexity of ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "quotient complexity of regular languages":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "complexity of the frobenius monoid problem for a finite language")

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)