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 "quantifier alternation for infinite words"):
  Abstract: We investigate the expressive power of quantifier alternation hierarchy of first-order logic over words. This hierarchy includes the classes ${\Sigma}_i$ (sentences having at most $i$ blocks of quantifiers starting with an $\exists$) and $\mathcal{B}{\Sigma}_i$ (Boolean combinations of ${\Sigma}_i$ sentences). So far, this expressive power has been effectively characterized for the lower levels only. Recently, a breakthrough was made over finite words, and decidable characterizations were obtained for $\mathcal{B}{\Sigma}_2$ and ${\Sigma}_3$, by relying on a decision problem called separation, and solving it for ${\Sigma}_2$. The contribution of this paper is a generalization of these results to the setting of infinite words: we solve separation for ${\Sigma}_2$ and ${\Sigma}_3$, and obtain decidable characterizations of $\mathcal{B}{\Sigma}_2$ and ${\Sigma}_3$ as consequences.

Includes members:
  Member "separating regular languages with two quantifier alternations":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "adding successor a transfer theorem for separation and covering")
  Member "separating regular languages with first order logic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "regular separability and intersection emptiness are independent problems")
  Member "level two of the quantifier alternation hierarchy over infinite words":
    also connected through other hyperedges:
      (none)
  Member "going higher in the first order quantifier alternation hierarchy on words":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "on all things star free")
  Member "separating regular languages by piecewise testable and unambiguous languages":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "partially ordered automata and piecewise testability")
  Member "efficient separability of regular languages by subsequences and suffixes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "partially ordered automata and piecewise testability")
  Member "fragments of first order logic over infinite words":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "well quasiorders and hierarchy theory")

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)