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: "the succinctness of first order logic on linear orders"
  Abstract: Succinctness is a natural measure for comparing the strength of different#N#logics. Intuitively, a logic L_1 is more succinct than another logic L_2 if all#N#properties that can be expressed in L_2 can be expressed in L_1 by formulas of#N#(approximately) the same size, but some properties can be expressed in L_1 by#N#(significantly) smaller formulas.#N#  We study the succinctness of logics on linear orders. Our first theorem is#N#concerned with the finite variable fragments of first-order logic. We prove#N#that:#N#  (i) Up to a polynomial factor, the 2- and the 3-variable fragments of#N#first-order logic on linear orders have the same succinctness. (ii) The#N#4-variable fragment is exponentially more succinct than the 3-variable#N#fragment. Our second main result compares the succinctness of first-order logic#N#on linear orders with that of monadic second-order logic. We prove that the#N#fragment of monadic second-order logic that has the same expressiveness as#N#first-order logic on linear orders is non-elementarily more succinct than#N#first-order logic.

Connected through hyperedge HE-1 (induced by source paper "on the succinctness of atoms of dependency"):
  with members:
    - "canonical models and the complexity of modal team logic"
    - "on quantified propositional logics and the exponential time hierarchy"
    - "the expressive power of modal logic with inclusion atoms"
    - "a team based variant of ctl"
    - "the expressive power of modal dependence logic"
    - "a van benthem theorem for modal team semantics"
    - "complexity of validity for propositional dependence logics"
    - "modal independence logic"

Connected through hyperedge HE-2 (induced by source paper "tight bounds on the asymptotic descriptive complexity of subgraph isomorphism"):
  with members:
    - "on the first order complexity of induced subgraph isomorphism"
    - "graph isomorphism in quasipolynomial time"
    - "powers of tensors and fast matrix multiplication"

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"
    - "where first order and monadic second order logic coincide"

Connected through hyperedge HE-4 (induced by source paper "canonical logic programs are succinctly incomparable with propositional formulas"):
  with members:
    - "weight constraints as nested expressions"
    - "tight logic programs"

Connected through hyperedge HE-5 (induced by source paper "on logical hierarchies withinfoâ definable languages"):
  with members:
    - "lattices of logical fragments over words"
    - "structure theorem and strict alternation hierarchy for fo2 on words"
    - "logic meets algebra the case of regular languages"

Connected through hyperedge HE-6 (induced by source paper "on the complexity of existential positive queries"):
  with members:
    - "tree width for first order formulae"
    - "on the complexity of the model checking problem"
    - "tractable hypergraph properties for constraint satisfaction and conjunctive queries"

Connected through hyperedge HE-7 (induced by source paper "on fo 2 quantifier alternation over words"):
  with members:
    - "structure theorem and strict alternation hierarchy for fo2 on words"
    - "logic meets algebra the case of regular languages"
    - "the complexity of model checking higher order fixpoint logic"

Connected through hyperedge HE-8 (induced by source paper "on the hybrid extension of ctl and ctl"):
  with members:
    - "hybrid branching time logics"

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)