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 "model checking on ordered structures"):
  Abstract: We study the model-checking problem for first- and monadic second-order logic on finite relational structures. The problem of verifying whether a formula of these logics is true on a given structure is considered intractable in general, but it does become tractable on interesting classes of structures, such as on classes whose Gaifman graphs have bounded treewidth. In this paper we continue this line of research and study model-checking for first- and monadic second-order logic in the presence of an ordering on the input structure. We do so in two settings: the general ordered case, where the input structures are equipped with a fixed order or successor relation, and the order invariant case, where the formulas may resort to an ordering, but their truth must be independent of the particular choice of order. In the first setting we show very strong intractability results for most interesting classes of structures. In contrast, in the order invariant case we obtain tractability results for order-invariant monadic second-order formulas on the same classes of graphs as in the unordered case. For first-order logic, we obtain tractability of successor-invariant formulas on classes whose Gaifman graphs have bounded expansion. Furthermore, we show that model-checking for order-invariant first-order formulas is tractable on coloured posets of bounded width.

Includes members:
  Member "order invariance on decomposable structures":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "model checking for successor invariant first order formulas on graph classes of bounded expansion")
  Member "successor invariant first order logic on graphs with excluded topological subgraphs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "model checking for successor invariant first order formulas on graph classes of bounded expansion")
  Member "lower bounds for approximation schemes for closest string":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "parameterized approximation schemes for independent set of rectangles and geometric knapsack")
  Member "model checking existential logic on partially ordered sets":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a new perspective on fo model checking of dense graph classes")
  Member "deciding first order properties of nowhere dense graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "hitting topological minors is fpt")
  Member "courcelle s theorem a game theoretic approach":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "positive instance driven dynamic programming for graph searching")
  Member "lower bounds for the complexity of monadic second order logic":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "model checking for successor invariant first order formulas on graph classes of bounded expansion")
  Member "deciding first order properties of locally tree decomposable structures":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "hitting topological minors is fpt")

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)