human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "going higher in the first order quantifier alternation hierarchy on words"
  Abstract: We investigate the quantifier alternation hierarchy in first-order logic on finite words. Levels in this hierarchy are defined by counting the number of quantifier alternations in formulas. We prove that one can decide membership of a regular language to the levels $\mathcal{B}\Sigma_2$ (boolean combination of formulas having only 1 alternation) and $\Sigma_3$ (formulas having only 2 alternations beginning with an existential block). Our proof works by considering a deeper problem, called separation, which, once solved for lower levels, allows us to solve membership for higher levels.

Connected through hyperedge HE-1 (induced by source paper "on all things star free"):
  with members:
    - "separation and covering for group based concatenation hierarchies"
    - "separation for dot depth two"
    - "the covering problem"
    - "generic results for concatenation hierarchies"
    - "separating regular languages with first order logic"
    - "characterizing classes of regular languages using prefix codes of bounded synchronization delay"

Connected through hyperedge HE-2 (induced by source paper "separation for dot depth two"):
  with members:
    - "the covering problem"
    - "generic results for concatenation hierarchies"
    - "separating regular languages with first order logic"
    - "separating regular languages by piecewise testable and unambiguous languages"
    - "efficient separability of regular languages by subsequences and suffixes"

Connected through hyperedge HE-3 (induced by source paper "separation and covering for group based concatenation hierarchies"):
  with members:
    - "separation for dot depth two"
    - "the covering problem"
    - "generic results for concatenation hierarchies"
    - "one quantifier alternation in first order logic with modular predicates"

Connected through hyperedge HE-4 (induced by source paper "two variable logics with some betweenness relations expressiveness satisfiability and membership"):
  with members:
    - "structure theorem and strict alternation hierarchy for fo2 on words"

Connected through hyperedge HE-5 (induced by source paper "covering and separation for logical fragments with modular predicates"):
  with members:
    - "separation for dot depth two"
    - "the covering problem"
    - "adding successor a transfer theorem for separation and covering"
    - "separating regular languages with first order logic"
    - "adding modular predicates to first order fragments"
    - "one quantifier alternation in first order logic with modular predicates"
    - "separating regular languages by piecewise testable and unambiguous languages"
    - "efficient separability of regular languages by subsequences and suffixes"

Connected through hyperedge HE-6 (induced by source paper "wreath products of distributive forest algebras"):
  with members:
    - "piecewise testable tree languages"
    - "an effective characterization of the alternation hierarchy in two variable logic"
    - "wreath products of forest algebras with applications to tree logics"
    - "a decidable characterization of locally testable tree languages"
    - "tree languages defined in first order logic with one quantifier alternation"

Connected through hyperedge HE-7 (induced by source paper "regular separability of one counter automata"):
  with members:
    - "regular separability of well structured transition systems"
    - "separating regular languages with first order logic"
    - "regular separability of parikh automata"
    - "separability of reachability sets of vector addition systems"
    - "invisible pushdown languages"
    - "reachability in two dimensional vector addition systems with states is pspace complete"
    - "reachability in two clock timed automata is pspace complete"
    - "separating regular languages by piecewise testable and unambiguous languages"

Connected through hyperedge HE-8 (induced by source paper "adding successor a transfer theorem for separation and covering"):
  with members:
    - "the covering problem"
    - "separating regular languages with two quantifier alternations"
    - "going higher in first order quantifier alternation hierarchies on words"
    - "separating regular languages with first order logic"
    - "quantifier alternation for infinite words"
    - "separating regular languages by piecewise testable and unambiguous languages"
    - "efficient separability of regular languages by subsequences and suffixes"
    - "around dot depth one"

Question: Please tell me which class the center node 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)