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: "an effective extension of the wagner hierarchy to blind counter automata"
  Abstract: The extension of the Wagner hierarchy to blind counter automata accepting infinite words with a Muller acceptance condition is effective. We determine precisely this hierarchy.

Connected through hyperedge HE-1 (induced by source paper "topological complexity of context free omega languages a survey"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "on omega context free languages which are borel sets of infinite rank"
    - "on winning conditions of high borel complexity in pushdown games"
    - "wadge degrees of infinitary rational relations"
    - "the complexity of games on higher order pushdown automata"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-2 (induced by source paper "wadge degrees of infinitary rational relations"):
  with members:
    - "on infinitary rational relations and borel sets"
    - "on the topological complexity of infinitary rational relations"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-3 (induced by source paper "on the length of the wadge hierarchy of omega context free languages"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "on omega context free languages which are borel sets of infinite rank"

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.LO(Logic in Computer Science)