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: "definability equals recognizability for graphs of bounded treewidth"
  Abstract: We prove a conjecture of Courcelle, which states that a graph property is definable in MSO with modular counting predicates on graphs of constant treewidth if, and only if it is recognizable in the following sense: constant-width tree decompositions of graphs satisfying the property can be recognized by tree automata. While the forward implication is a classic fact known as Courcelle's theorem, the converse direction remained open

Connected through hyperedge HE-1 (induced by source paper "on supergraphs satisfying cmso properties"):
  with members:
    - "optimizing tree decompositions in mso"
    - "bidimensionality and kernels"
    - "definability equals recognizability for k outerplanar graphs"
    - "a polynomial time algorithm for outerplanar diameter improvement"

Connected through hyperedge HE-2 (induced by source paper "randomized contractions meet lean decompositions"):
  with members:
    - "reducing cmso model checking to highly connected graphs"
    - "clustering with local restrictions"
    - "linear time kernelization for feedback vertex set"
    - "parameterized complexity dichotomy for steiner multicut"
    - "half integrality lp branching and fpt algorithms"
    - "minimum bisection is fixed parameter tractable"
    - "designing fpt algorithms for cut problems using randomized contractions"
    - "don t be strict in local search"

Connected through hyperedge HE-3 (induced by source paper "definable decompositions for graphs of bounded linear cliquewidth"):
  with members:
    - "optimizing tree decompositions in mso"

Connected through hyperedge HE-4 (induced by source paper "order invariance on decomposable structures"):
  with members:
    - "canonizing graphs of bounded tree width in logspace"
    - "fixed parameter tractable canonization and isomorphism test for graphs of bounded treewidth"
    - "monadic second order definable graph orderings"
    - "order invariant mso is stronger than counting mso in the finite"

Connected through hyperedge HE-5 (induced by source paper "succinctness of order invariant logics on depth bounded structures"):
  with members:
    - "where first order and monadic second order logic coincide"
    - "the succinctness of first order logic on linear orders"

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)