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: "validity and entailment in modal and propositional dependence logics"
  Abstract: The computational properties of modal and propositional dependence logics have been extensively studied over the past few years, starting from a result by Sevenster showing NEXPTIME-completeness of the satisfiability problem for modal dependence logic. Thus far, however, the validity and entailment properties of these logics have remained mostly unaddressed. This paper provides a comprehensive classification of the complexity of validity and entailment in various modal and propositional dependence logics. The logics examined are obtained by extending the standard modal and propositional logics with notions of dependence, independence, and inclusion in the team semantics context. In particular, we address the question of the complexity of validity in modal dependence logic. By showing that it is NEXPTIME-complete we refute an earlier conjecture proposing a higher complexity for the problem.

Connected through hyperedge HE-1 (induced by source paper "model checking and validity in propositional and modal inclusion logics"):
  with members:
    - "team semantics for the specification and verification of hyperproperties"
    - "axiomatizations of team logics"
    - "the expressive power of modal logic with inclusion atoms"
    - "complexity of propositional independence and inclusion logic"
    - "approximation and dependence via multiteam semantics"
    - "modal inclusion logic being lax is simpler than being strict"
    - "the expressive power of modal dependence logic"
    - "complexity of validity for propositional dependence logics"

Connected through hyperedge HE-2 (induced by source paper "axiomatizations of team logics"):
  with members:
    - "on quantified propositional logics and the exponential time hierarchy"
    - "the expressive power of modal logic with inclusion atoms"
    - "complexity of propositional independence and inclusion logic"
    - "modal inclusion logic being lax is simpler than being strict"
    - "a van benthem theorem for modal team semantics"
    - "axiomatizing propositional dependence logics"
    - "modal independence logic"
    - "dependence and independence"

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)