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: "the complexity of infinite computations in models of set theory"
  Abstract: We prove the following surprising result: there exist a 1-counter Buchi automaton A and a 2-tape Buchi automaton B such that : (1) There is a model $V_1$ of ZFC in which the omega-language $L(A)$ and the infinitary rational relation $L(B)$ are ${\bf \Pi}_2^0$-sets, and (2) There is a model $V_2$ of ZFC in which the omega-language $L(A)$ and the infinitary rational relation $L(B)$ are analytic but non Borel sets. This shows that the topological complexity of an omega-language accepted by a 1-counter Buchi automaton or of an infinitary rational relation accepted by a 2-tape Buchi automaton is not determined by the axiomatic system ZFC. We show that a similar result holds for the class of languages of infinite pictures which are recognized by Buchi tiling systems. We infer from the proof of the above results an improvement of the lower bound of some decision problems recently studied in previous papers [Fin09a, Fin09b].

Connected through hyperedge HE-1 (induced by source paper "infinite games specified by 2 tape automata"):
  with members:
    - "the determinacy of context free games"
    - "highly undecidable problems for infinite computations"
    - "wadge degrees of infinitary rational relations"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-2 (induced by source paper "the determinacy of context free games"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "highly undecidable problems for infinite computations"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-3 (induced by source paper "some problems in automata theory which depend on the models of set theory"):
  with members:
    - "highly undecidable problems for infinite computations"
    - "borel ranks and wadge degrees of context free omega languages"

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)