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 "an in between implicit and explicit complexity automata"):
  Abstract: Implicit Computational Complexity makes two aspects implicit, by manipulating programming languages rather than models of com-putation, and by internalizing the bounds rather than using external measure. We survey how automata theory contributed to complexity with a machine-dependant with implicit bounds model.

Includes members:
  Member "characterizing co nl by a group action":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "probabilistic complexity classes through semantics")
  Member "memoization for unary logic programming characterizing ptime":
    also connected through other hyperedges:
      (none)
  Member "logic programming and logarithmic space":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "prams over integers do not compute maxflow efficiently")
  Member "logarithmic space and permutations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "interaction graphs exponentials")
  Member "multi head finite automata characterizations concepts and open problems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "structural complexity of multi valued partial functions computed by nondeterministic pushdown 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)