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: "highly undecidable problems for infinite computations"
  Abstract: We show that many classical decision problems about 1-counter omega-languages, context free omega-languages, or infinitary rational relations, are $\Pi_2^1$-complete, hence located at the second level of the analytical hierarchy, and "highly undecidable". In particular, the universality problem, the inclusion problem, the equivalence problem, the determinizability problem, the complementability problem, and the unambiguity problem are all $\Pi_2^1$-complete for context-free omega-languages or for infinitary rational relations. Topological and arithmetical properties of 1-counter omega-languages, context free omega-languages, or infinitary rational relations, are also highly undecidable. These very surprising results provide the first examples of highly undecidable problems about the behaviour of very simple finite machines like 1-counter automata or 2-tape automata.

Connected through hyperedge HE-1 (induced by source paper "infinite games specified by 2 tape automata"):
  with members:
    - "the determinacy of context free games"
    - "the complexity of infinite computations in models of set theory"
    - "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 "three applications to rational relations of the high undecidability of the infinite post correspondence problem in a regular omega language"):
  with members:
    - "decision problems for turing machines"
    - "on the continuity set of an omega rational function"
    - "undecidable problems about timed automata"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-3 (induced by source paper "the determinacy of context free games"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "the complexity of infinite computations in models of set theory"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-4 (induced by source paper "some problems in automata theory which depend on the models of set theory"):
  with members:
    - "the complexity of infinite computations in models of set theory"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-5 (induced by source paper "the isomorphism problem for omega automatic trees"):
  with members:
    - "the isomorphism problem on classes of automatic structures"
    - "automatic structures richness and limitations"

Connected through hyperedge HE-6 (induced by source paper "the complexity of infinite computations in models of set theory"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "on recognizable languages of infinite pictures"
    - "topological complexity of context free omega languages a survey"
    - "highly undecidable problems about recognizability by tiling systems"
    - "borel ranks and wadge degrees of context free omega languages"

Connected through hyperedge HE-7 (induced by source paper "highly undecidable problems about recognizability by tiling systems"):
  with members:
    - "borel hierarchy and omega context free languages"
    - "on recognizable languages of infinite pictures"

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)