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: "order invariance on decomposable structures"
  Abstract: Order-invariant formulas access an ordering on a structure's universe, but the model relation is independent of the used ordering. Order invariance is frequently used for logic-based approaches in computer science. Order-invariant formulas capture unordered problems of complexity classes and they model the independence of the answer to a database query from low-level aspects of databases. We study the expressive power of order-invariant monadic second-order (MSO) and first-order (FO) logic on restricted classes of structures that admit certain forms of tree decompositions (not necessarily of bounded width). #R##N#While order-invariant MSO is more expressive than MSO and, even, CMSO (MSO with modulo-counting predicates), we show that order-invariant MSO and CMSO are equally expressive on graphs of bounded tree width and on planar graphs. This extends an earlier result for trees due to Courcelle. Moreover, we show that all properties definable in order-invariant FO are also definable in MSO on these classes. These results are applications of a theorem that shows how to lift up definability results for order-invariant logics from the bags of a graph's tree decomposition to the graph itself.

Connected through hyperedge HE-1 (induced by source paper "model checking on ordered structures"):
  with members:
    - "successor invariant first order logic on graphs with excluded topological subgraphs"
    - "lower bounds for approximation schemes for closest string"
    - "model checking existential logic on partially ordered sets"
    - "deciding first order properties of nowhere dense graphs"
    - "courcelle s theorem a game theoretic approach"
    - "lower bounds for the complexity of monadic second order logic"
    - "deciding first order properties of locally tree decomposable structures"

Connected through hyperedge HE-2 (induced by source paper "model checking for successor invariant first order formulas on graph classes of bounded expansion"):
  with members:
    - "a new perspective on fo model checking of dense graph classes"
    - "the generalised colouring numbers on classes of bounded expansion"
    - "successor invariant first order logic on graphs with excluded topological subgraphs"
    - "fo model checking of interval graphs"
    - "deciding first order properties of nowhere dense graphs"
    - "structure theorem and isomorphism test for graphs with excluded topological subgraphs"
    - "lower bounds for the complexity of monadic second order logic"
    - "on brambles grid like minors and parameterized intractability of monadic second order logic"

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)