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: "on the expressiveness and complexity of atl"
  Abstract: ATL is a temporal logic geared towards the specification and verification of properties in multi-agents systems. It allows to reason on the existence of strategies for coalitions of agents in order to enforce a given property. We prove that the standard definition of~ATL (built on modalities "Next", "Always" and~"Until") has to be completed in order to express the duals of its modalities: it~is necessary to add the modality "Release". We~then precisely characterize the complexity of ATL model-checking when the number of agents is not fixed. We prove that it is \(Δ_2^P\) and \(Δ_3^P\)-complete, depending on the underlying multi-agent model (ATS and CGS,~resp.). We also prove that~ATL\(^+\) model-checking is \(Δ_3^P\)-complete over both models, even with a fixed number of agents.

Connected through hyperedge HE-1 (induced by source paper "making agents abilities explicit"):
  with members:
    - "decidability results for atl with imperfect information and perfect recall"
    - "strategy logic with imperfect information"

Connected through hyperedge HE-2 (induced by source paper "dependences in strategy logic"):
  with members:
    - "nash equilibrium and bisimulation invariance"
    - "strategy logic with imperfect information"
    - "reasoning about strategies on the satisfiability problem"
    - "assume admissible synthesis"
    - "an epistemic strategy logic"
    - "mcmas slk a model checker for the verification of strategy logic specifications"
    - "model checking atl under imperfect information and perfect recall semantics is undecidable"
    - "reasoning about strategies on the model checking problem"

Connected through hyperedge HE-3 (induced by source paper "differential game logic"):
  with members:
    - "differential hybrid games"
    - "a uniform substitution calculus for differential dynamic logic"
    - "the structure of differential invariants and differential cut elimination"
    - "o minimal hybrid reachability games"
    - "timed parity games complexity and robustness"

Connected through hyperedge HE-4 (induced by source paper "pure nash equilibria in concurrent deterministic games"):
  with members:
    - "existence of secure equilibrium in multi player games with perfect information"
    - "robust equilibria in concurrent games"
    - "the complexity of nash equilibria in limit average games"

Connected through hyperedge HE-5 (induced by source paper "model checking an alternating time temporal logic with knowledge imperfect information perfect recall and communicating coalitions"):
  with members:
    - "algorithms for omega regular games with imperfect information"

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)