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: "near optimal lower bounds on quantifier depth and weisfeiler leman refinement steps"
  Abstract: We prove near-optimal trade-offs for quantifier depth versus number of variables in first-order logic by exhibiting pairs of $n$-element structures that can be distinguished by a $k$-variable first-order sentence but where every such sentence requires quantifier depth at least $n^{\Omega(k/\log k)}$. Our trade-offs also apply to first-order counting logic, and by the known connection to the $k$-dimensional Weisfeiler--Leman algorithm imply near-optimal lower bounds on the number of refinement iterations. #R##N#A key component in our proof is the hardness condensation technique recently introduced by [Razborov '16] in the context of proof complexity. We apply this method to reduce the domain size of relational structures while maintaining the minimal quantifier depth to distinguish them in finite variable logics.

Connected through hyperedge HE-1 (induced by source paper "lifting with simple gadgets and applications to circuit and proof complexity"):
  with members:
    - "extension complexity of independent set polytopes"
    - "approximating rectangles by juntas and weakly exponential lower bounds for lp relaxations of csps"
    - "space proof complexity for random 3 cnfs"
    - "lower bounds on the size of semidefinite programming relaxations"
    - "communication lower bounds via critical block sensitivity"

Connected through hyperedge HE-2 (induced by source paper "walk refinement walk logic and the iteration number of the weisfeiler leman algorithm"):
  with members:
    - "linear diophantine equations group csps and graph isomorphism"
    - "upper bounds on the quantifier depth for graph differentiation in first order logic"
    - "the propagation depth of local consistency"

Connected through hyperedge HE-3 (induced by source paper "the weisfeiler leman dimension of planar graphs is at most 3"):
  with members:
    - "upper bounds on the quantifier depth for graph differentiation in first order logic"
    - "tangled up in blue a survey on connectivity decompositions and tangles"
    - "graphs identified by logics with counting"
    - "dynamic complexity of planar 3 connected graph isomorphism"
    - "practical graph isomorphism ii"
    - "pebble games and linear equations"
    - "planar graphs logical complexity and parallel isomorphism tests"
    - "testing graph isomorphism in parallel by playing a game"

Connected through hyperedge HE-4 (induced by source paper "upper bounds on the quantifier depth for graph differentiation in first order logic"):
  with members:
    - "graph isomorphism in quasipolynomial time"
    - "graphs identified by logics with counting"
    - "tight lower and upper bounds for the complexity of canonical colour refinement"
    - "universal covers color refinement and two variable counting logic lower bounds for the depth"
    - "the propagation depth of local consistency"
    - "practical graph isomorphism ii"
    - "dimension reduction via colour refinement"
    - "from invariants to canonization in parallel"

Connected through hyperedge HE-5 (induced by source paper "tight lower and upper bounds for the complexity of canonical colour refinement"):
  with members:
    - "practical graph isomorphism ii"
    - "search space contraction in canonical labeling of graphs"

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)