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 "unrestricted state complexity of binary operations on regular and ideal languages"):
  Abstract: We study the state complexity of binary operations on regular languages over different alphabets. It is known that if $L'_m$ and $L_n$ are languages of state complexities $m$ and $n$, respectively, and restricted to the same alphabet, the state complexity of any binary boolean operation on $L'_m$ and $L_n$ is $mn$, and that of product (concatenation) is $m 2^n - 2^{n-1}$. In contrast to this, we show that if $L'_m$ and $L_n$ are over different alphabets, the state complexity of union and symmetric difference is $(m+1)(n+1)$, that of difference is $mn+m$, that of intersection is $mn$, and that of product is $m2^n+2^{n-1}$. We also study unrestricted complexity of binary operations in the classes of regular right, left, and two-sided ideals, and derive tight upper bounds. The bounds for product of the unrestricted cases (with the bounds for the restricted cases in parentheses) are as follows: right ideals $m+2^{n-2}+2^{n-1}$ ($m+2^{n-2}$); left ideals $mn+m+n$ ($m+n-1$); two-sided ideals $m+2n$ ($m+n-1$). The state complexities of boolean operations on all three types of ideals are the same as those of arbitrary regular languages, whereas that is not the case if the alphabets of the arguments are the same. Finally, we update the known results about most complex regular, right-ideal, left-ideal, and two-sided-ideal languages to include the unrestricted cases.

Includes members:
  Member "unrestricted state complexity of binary operations on regular languages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "complexity of atoms combinatorially":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a congruence based perspective on automata minimization algorithms")
  Member "symmetric groups and quotient complexity of boolean operations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "theory of atomata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a co algebraic theory of succinct automata")
  Member "transition complexity of incomplete dfas":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "unrestricted state complexity of binary operations on regular languages")
  Member "syntactic complexity of ideal and closed languages":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "towards a theory of complexity of regular languages")
  Member "quotient complexity of ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-7 (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-8 (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)