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: "reasoning about strategies on the satisfiability problem"
  Abstract: Strategy Logic (SL, for short) has been introduced by Mogavero, Murano, and#N#Vardi as a useful formalism for reasoning explicitly about strategies, as#N#first-order objects, in multi-agent concurrent games. This logic turns out to#N#be very powerful, subsuming all major previously studied modal logics for#N#strategic reasoning, including ATL, ATL*, and the like. Unfortunately, due to#N#its high expressiveness, SL has a non-elementarily decidable model-checking#N#problem and the satisfiability question is undecidable, specifically Sigma_1^1.#N#  In order to obtain a decidable sublogic, we introduce and study here One-Goal#N#Strategy Logic (SL[1G], for short). This is a syntactic fragment of SL,#N#strictly subsuming ATL*, which encompasses formulas in prenex normal form#N#having a single temporal goal at a time, for every strategy quantification of#N#agents. We prove that, unlike SL, SL[1G] has the bounded tree-model property#N#and its satisfiability problem is decidable in 2ExpTime, thus not harder than#N#the one for ATL*.

Connected through hyperedge HE-1 (induced by source paper "nash equilibrium and bisimulation invariance"):
  with members:
    - "pure nash equilibria in concurrent deterministic games"
    - "mcmas slk a model checker for the verification of strategy logic specifications"
    - "reasoning about strategies on the model checking problem"

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"
    - "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"
    - "on the expressiveness and complexity of atl"

Connected through hyperedge HE-3 (induced by source paper "robust exponential worst cases for divide et impera algorithms for parity games"):
  with members:
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "benchmark graphs for practical graph isomorphism"
    - "succinct progress measures for solving parity games"
    - "a delayed promotion policy for parity games"
    - "reasoning about strategies on the model checking problem"
    - "generalized mean payoff and energy games"

Connected through hyperedge HE-4 (induced by source paper "a delayed promotion policy for parity games"):
  with members:
    - "oink an implementation and evaluation of modern parity game solvers"
    - "attracting tangles to solve parity games"
    - "robust exponential worst cases for divide et impera algorithms for parity games"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "symmetric strategy improvement"
    - "optimal strategy synthesis for request response games"
    - "reasoning about strategies on the model checking problem"

Connected through hyperedge HE-5 (induced by source paper "cycle detection in computation tree logic"):
  with members:
    - "reasoning about strategies on the model checking problem"
    - "enriched mu calculi module checking"

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)