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: "characterizing co nl by a group action"
  Abstract: In a recent paper, Girard ( 2012 ) proposed to use his recent construction of a geometry of interaction in the hyperfinite factor (Girard  2011 ) in an innovative way to characterize complexity classes. We begin by giving a detailed explanation of both the choices and the motivations of Girard's definitions. We then provide a complete proof that the complexity class  co-NL  can be characterized using this new approach. We introduce the non-deterministic pointer machine as a technical tool, a concrete model to compute algorithms.

Connected through hyperedge HE-1 (induced by source paper "probabilistic complexity classes through semantics"):
  with members:
    - "prams over integers do not compute maxflow efficiently"
    - "interaction graphs full linear logic"
    - "towards a complexity through realizability theory"
    - "interaction graphs graphings"
    - "interaction graphs exponentials"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"
    - "geometric complexity theory ii towards explicit obstructions for embeddings among class varieties"

Connected through hyperedge HE-2 (induced by source paper "prams over integers do not compute maxflow efficiently"):
  with members:
    - "rectangular kronecker coefficients and plethysms in geometric complexity theory"
    - "interaction graphs full linear logic"
    - "towards a complexity through realizability theory"
    - "interaction graphs graphings"
    - "logic programming and logarithmic space"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"
    - "light types for polynomial time computation in lambda calculus"

Connected through hyperedge HE-3 (induced by source paper "interaction graphs nondeterministic automata"):
  with members:
    - "interaction graphs full linear logic"
    - "towards a complexity through realizability theory"
    - "interaction graphs graphings"
    - "logic programming and logarithmic space"
    - "interaction graphs exponentials"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"

Connected through hyperedge HE-4 (induced by source paper "memoization for unary logic programming characterizing ptime"):
  with members:
    - "interaction graphs graphings"
    - "unification and logarithmic space"
    - "logic programming and logarithmic space"
    - "simulation of two way pushdown automata revisited"
    - "an implicit characterization of pspace"
    - "light types for polynomial time computation in lambda calculus"

Connected through hyperedge HE-5 (induced by source paper "towards a complexity through realizability theory"):
  with members:
    - "interaction graphs graphings"
    - "logic programming and logarithmic space"
    - "interaction graphs exponentials"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"

Connected through hyperedge HE-6 (induced by source paper "an in between implicit and explicit complexity automata"):
  with members:
    - "memoization for unary logic programming characterizing ptime"
    - "logic programming and logarithmic space"
    - "logarithmic space and permutations"
    - "multi head finite automata characterizations concepts and open problems"

Connected through hyperedge HE-7 (induced by source paper "logic programming and logarithmic space"):
  with members:
    - "unification and logarithmic space"
    - "interaction graphs multiplicatives"
    - "two way finite automata old and recent results"
    - "linear logic by levels and bounded time complexity"
    - "an implicit characterization of pspace"
    - "bounded linear logic revisited"
    - "multi head finite automata characterizations concepts and open problems"

Connected through hyperedge HE-8 (induced by source paper "interaction graphs graphings"):
  with members:
    - "interaction graphs nondeterministic automata"
    - "interaction graphs full linear logic"
    - "towards a complexity through realizability theory"
    - "interaction graphs exponentials"
    - "interaction graphs multiplicatives"
    - "interaction graphs additives"

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)