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: "where first order and monadic second order logic coincide"
  Abstract: We study on which classes of graphs first-order logic (FO) and monadic second-order logic (MSO) have the same expressive power. We show that for all classes C of graphs that are closed under taking subgraphs, FO and MSO have the same expressive power on C if, and only if, C has bounded tree depth. Tree depth is a graph invariant that measures the similarity of a graph to a star in a similar way that tree width measures the similarity of a graph to a tree. For classes just closed under taking induced subgraphs, we show an analogous result for guarded second-order logic (GSO), the variant of MSO that not only allows quantification over vertex sets but also over edge sets. A key tool in our proof is a Feferman-Vaught-type theorem that is constructive and still works for unbounded partitions.

Connected through hyperedge HE-1 (induced by source paper "sat encodings for treecut width and treedepth"):
  with members:
    - "a parameterized strongly polynomial algorithm for block structured integer programs"
    - "the complexity landscape of decompositional parameters for ilp"
    - "on the power of tree depth for fully polynomial fpt algorithms"
    - "solving and verifying the boolean pythagorean triples problem via cube and conquer"
    - "kernelizing mso properties of trees of fixed height and some consequences"
    - "a faster parameterized algorithm for treedepth"
    - "structural parameterizations of the mixed chinese postman problem"
    - "computing tree depth faster than 2 n"

Connected through hyperedge HE-2 (induced by source paper "a strategy for dynamic programs start over and muddle through"):
  with members:
    - "reachability and distances under multiple changes"
    - "dynamic complexity under definable changes"
    - "reachability is in dynfo"

Connected through hyperedge HE-3 (induced by source paper "succinctness of order invariant logics on depth bounded structures"):
  with members:
    - "definability equals recognizability for graphs of bounded treewidth"
    - "the succinctness of first order logic on linear orders"

Connected through hyperedge HE-4 (induced by source paper "on space efficiency of algorithms working on structural decompositions of graphs"):
  with members:
    - "an o n epsilon space and polynomial time algorithm for reachability in directed layered planar graphs"
    - "space saving by dynamic algebraization"
    - "one hierarchy spawns another graph deconstructions and the complexity classification of conjunctive queries"
    - "space time tradeoffs for subset sum an improved worst case algorithm"
    - "narrow sieves for parameterized paths and packings"
    - "model checking problems as a basis for parameterized intractability"

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)