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: "lower bounds for the complexity of monadic second order logic"
  Abstract: Courcelle's famous theorem from 1990 states that any property of graphs definable in monadic second-order logic (MSO) can be decided in linear time on any class of graphs of bounded treewidth, or in other words, MSO is fixed-parameter tractable in linear time on any such class of graphs. From a logical perspective, Courcelle's theorem establishes a sufficient condition, or an upper bound, for tractability of MSO-model checking. #R##N#Whereas such upper bounds on the complexity of logics have received significant attention in the literature, almost nothing is known about corresponding lower bounds. In this paper we establish a strong lower bound for the complexity of monadic second-order logic. In particular, we show that if C is any class of graphs which is closed under taking subgraphs and whose treewidth is not bounded by a polylogarithmic function (in fact, $\log^c n$ for some small c suffices) then MSO-model checking is intractable on C (under a suitable assumption from complexity theory).

Connected through hyperedge HE-1 (induced by source paper "model checking on ordered structures"):
  with members:
    - "order invariance on decomposable structures"
    - "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"
    - "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"
    - "order invariance on decomposable structures"
    - "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"
    - "on brambles grid like minors and parameterized intractability of monadic second order logic"

Connected through hyperedge HE-3 (induced by source paper "tractable lineages on treelike instances limits and extensions"):
  with members:
    - "provenance circuits for trees and treelike instances extended version"
    - "approximate lifted inference with probabilistic databases"
    - "polynomial bounds for the grid minor theorem"
    - "complexity of inference in graphical models"
    - "are there any good digraph width measures"
    - "algorithmic meta theorems"
    - "tractable hypergraph properties for constraint satisfaction and conjunctive queries"
    - "the dichotomy of conjunctive queries on probabilistic structures"

Connected through hyperedge HE-4 (induced by source paper "between treewidth and clique width"):
  with members:
    - "solving hamiltonian cycle by an ept algorithm for a non sparse parameter"
    - "parameterized algorithms for modular width"
    - "linear time split decomposition revisited"

Connected through hyperedge HE-5 (induced by source paper "deciding first order properties of nowhere dense graphs"):
  with members:
    - "fo model checking on posets of bounded width"
    - "domination problems in nowhere dense classes of graphs"
    - "on brambles grid like minors and parameterized intractability of monadic second order logic"
    - "algorithmic meta theorems"
    - "homomorphism preservation on quasi wide classes"
    - "deciding first order properties of locally tree decomposable structures"
    - "fixed parameter tractability definability and model checking"

Connected through hyperedge HE-6 (induced by source paper "subgraphs satisfying mso properties on z topologically orderable digraphs"):
  with members:
    - "on the parameterized intractability of monadic second order logic"
    - "digraph complexity measures and applications in formal language theory"
    - "are there any good digraph width measures"

Connected through hyperedge HE-7 (induced by source paper "on the parameterized intractability of monadic second order logic"):
  with members:
    - "on brambles grid like minors and parameterized intractability of monadic second order logic"
    - "algorithmic meta theorems"
    - "deciding first order properties of locally tree decomposable structures"
    - "fixed parameter tractability definability and model checking"

Connected through hyperedge HE-8 (induced by source paper "lower bounds on the complexity of mso1 model checking"):
  with members:
    - "complexity of inference in graphical models"
    - "are there any good digraph width measures"
    - "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)