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 "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.

Includes members:
  Member "borel hierarchy and omega context free languages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the determinacy of context free games")
  Member "on recognizable languages of infinite pictures":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of infinite computations in models of set theory")
  Member "on the topological complexity of infinitary rational relations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "wadge degrees of infinitary rational relations")
  Member "highly undecidable problems about recognizability by tiling systems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "the complexity of infinite computations in models of set theory")
  Member "undecidable problems about timed automata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "control strategies for off line testing of timed systems")
  Member "borel ranks and wadge degrees of context free omega languages":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "infinite games specified by 2 tape automata")

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.LO(Logic in Computer Science)