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: "a note on the complexity of the satisfiability problem for graded modal logics"
  Abstract: Graded modal logic is the formal language obtained from ordinary (propositional) modal logic by endowing its modal operators with cardinality constraints. Under the familiar possible-worlds semantics, these augmented modal operators receive interpretations such as "It is true at no fewer than 15 accessible worlds that...", or "It is true at no more than 2 accessible worlds that...". We investigate the complexity of satisfiability for this language over some familiar classes of frames. This problem is more challenging than its ordinary modal logic counterpart--especially in the case of transitive frames, where graded modal logic lacks the tree-model property. We obtain tight complexity bounds for the problem of determining the satisfiability of a given graded modal logic formula over the classes of frames characterized by any combination of reflexivity, seriality, symmetry, transitivity and the Euclidean property.

Connected through hyperedge HE-1 (induced by source paper "the fluted fragment with transitivity"):
  with members:
    - "complexity hierarchies beyond elementary"
    - "finite satisfiability of the two variable guarded fragment with transitive guards and related variants"

Connected through hyperedge HE-2 (induced by source paper "on the complexity of graded modal logics with converse"):
  with members:
    - "complexity of the guarded two variable fragment with counting quantifiers"
    - "deciding regular grammar logics with converse through first order logic"
    - "pspace reasoning for graded modal logics"

Connected through hyperedge HE-3 (induced by source paper "the one variable logic meets presburger arithmetic"):
  with members:
    - "complexity of the guarded two variable fragment with counting quantifiers"

Connected through hyperedge HE-4 (induced by source paper "does treewidth help in modal satisfiability"):
  with members:
    - "tree width for first order formulae"
    - "parameterized modal satisfiability"
    - "generalized modal satisfiability"
    - "on the complexity of elementary modal logics"
    - "characterizing the np pspace gap in the satisfiability problem for modal 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)