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 "weak alternating timed automata"):
  Abstract: Alternating timed automata on infinite words are considered. The main result#N#is a characterization of acceptance conditions for which the emptiness problem#N#for these automata is decidable. This result implies new decidability results#N#for fragments of timed temporal logics. It is also shown that, unlike for MITL,#N#the characterisation remains the same even if no punctual constraints are#N#allowed.

Includes members:
  Member "weak index versus borel rank":
    also connected through other hyperedges:
      (none)
  Member "on termination for faulty channel machines":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "relating timed and register automata")
  Member "on the decidability and complexity of metric temporal logic over finite words":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "model checking the interval way")
  Member "alternating timed automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "timed basic parallel processes")

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)