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: "neighbourhood structures bisimilarity and basic model theory"
  Abstract: Neighbourhood structures are the standard semantic tool used to reason about non-normal modal logics. The logic of all neighbourhood models is called classical modal logic. In coalgebraic terms, a neighbourhood frame is a coalgebra for the contravariant powerset functor composed with itself, denoted by 2 2 . We use this coalgebraic modelling to derive notions of equivalence between neighbourhood structures. 2 2 -bisimilarity and behavioural equivalence are well known coalgebraic concepts, and they are distinct, since 2 2 does not preserve weak pullbacks. We introduce a third, intermediate notion whose wit- nessing relations we call precocongruences (based on pushouts). We give back-and-forth style characterisations for 2 2 -bisimulations and precocongruences, we show that on a single coalgebra, precocongruences capture behavioural equivalence, and that between neighbour- hood structures, precocongruences are a better approximation of behavioural equivalence than 2 2 -bisimulations. We also introduce a notion of modal saturation for neighbourhood models, and investigate its relationship with denability and image-niteness. We prove a Hennessy-Milner theorem for modally saturated and for image-nite neighbourhood mod- els. Our main results are an analogue of Van Benthem's characterisation theorem and a model-theoretic proof of Craig interpolation for classical modal logic.

Connected through hyperedge HE-1 (induced by source paper "a van benthem theorem for quantitative probabilistic modal logic"):
  with members:
    - "a modal characterization theorem for a probabilistic fuzzy description logic"
    - "a van benthem theorem for fuzzy modal logic"
    - "a characterization theorem for a modal description logic"
    - "metric bisimulation games and real valued modal logics for coalgebras"
    - "logical characterization of bisimulation metrics"
    - "monadic second order logic and bisimulation invariance for coalgebras"
    - "behavioral metrics via functor lifting"
    - "approximating a behavioural pseudometric without discount for probabilistic systems"

Connected through hyperedge HE-2 (induced by source paper "a van benthem theorem for fuzzy modal logic"):
  with members:
    - "bisimulation metrics for weighted automata"
    - "a characterization theorem for a modal description logic"
    - "monadic second order logic and bisimulation invariance for coalgebras"
    - "a van benthem theorem for modal team semantics"
    - "behavioral metrics via functor lifting"

Connected through hyperedge HE-3 (induced by source paper "bisimulations for coalgebras on stone spaces"):
  with members:
    - "simulations and bisimulations for coalgebraic modal logics"
    - "generalized powerlocales via relation lifting"
    - "relating coalgebraic notions of bisimulation"

Connected through hyperedge HE-4 (induced by source paper "weakly aggregative modal logic characterization and interpolation new version"):
  with members:
    - "strategically knowing how"
    - "knowing value logic as a normal modal logic"

Connected through hyperedge HE-5 (induced by source paper "clocked lambda calculus"):
  with members:
    - "discriminating lambda terms using clocked boehm trees"
    - "modular construction of fixed point combinators and clocked boehm trees"
    - "infinitary combinatory reduction systems confluence"

Connected through hyperedge HE-6 (induced by source paper "termination of rewrite relations on λ terms based on girard s notion of reducibility"):
  with members:
    - "higher order dependency pairs"
    - "the computability path ordering"
    - "polynomial interpretations for higher order rewriting"
    - "static dependency pair method based on strong computability for higher order rewrite systems"
    - "on the relation between size based termination and semantic labelling"
    - "decidability of higher order matching"
    - "the computability path ordering the end of a quest"
    - "short proofs of strong normalization"

Connected through hyperedge HE-7 (induced by source paper "strongly complete logics for coalgebras"):
  with members:
    - "a cook s tour of the finitary non well founded sets"
    - "strong completeness of coalgebraic modal logics"

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)