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: "behavioral metrics via functor lifting"
  Abstract: We study behavioral metrics in an abstract coalgebraic setting. Given a coalgebra alpha: X -> FX in Set, where the functor F specifies the branching type, we define a framework for deriving pseudometrics on X which measure the behavioral distance of states. #R##N#A first crucial step is the lifting of the functor F on Set to a functor in the category PMet of pseudometric spaces. We present two different approaches which can be viewed as generalizations of the Kantorovich and Wasserstein pseudometrics for probability measures. We show that the pseudometrics provided by the two approaches coincide on several natural examples, but in general they differ. #R##N#Then a final coalgebra for F in Set can be endowed with a behavioral distance resulting as the smallest solution of a fixed-point equation, yielding the final coalgebra in PMet. The same technique, applied to an arbitrary coalgebra alpha: X -> FX in Set, provides the behavioral distance on X. Under some constraints we can prove that two states are at distance 0 if and only if they are behaviorally equivalent.

Connected through hyperedge HE-1 (induced by source paper "a modal characterization theorem for a probabilistic fuzzy description logic"):
  with members:
    - "probability logic"
    - "a van benthem theorem for fuzzy modal logic"
    - "a characterization theorem for a modal description logic"

Connected through hyperedge HE-2 (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"
    - "neighbourhood structures bisimilarity and basic model theory"
    - "approximating a behavioural pseudometric without discount for probabilistic systems"

Connected through hyperedge HE-3 (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"
    - "neighbourhood structures bisimilarity and basic model theory"

Connected through hyperedge HE-4 (induced by source paper "coalgebraic behavioral metrics"):
  with members:
    - "towards trace metrics via functor lifting"
    - "generalizing determinization from automata to coalgebras"
    - "computing distances between probabilistic automata"
    - "approximating a behavioural pseudometric without discount for probabilistic systems"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-5 (induced by source paper "distances between states and between predicates"):
  with members:
    - "abstract hidden markov models a monadic account of quantitative information flow"
    - "mixed powerdomains for probability and nondeterminism"
    - "disintegration and bayesian inversion both abstractly and concretely"
    - "a recipe for state and effect triangles"
    - "an introduction to effectus theory"

Connected through hyperedge HE-6 (induced by source paper "bisimulation games on coalgebras"):
  with members:
    - "a van benthem theorem for fuzzy modal logic"
    - "logical characterization of bisimulation metrics"
    - "simulations and bisimulations for coalgebraic modal logics"
    - "relating coalgebraic notions of bisimulation"

Connected through hyperedge HE-7 (induced by source paper "limits in categories of vietoris coalgebras"):
  with members:
    - "continuity as a computational effect"

Connected through hyperedge HE-8 (induced by source paper "towards trace metrics via functor lifting"):
  with members:
    - "coinduction up to in a fibrational setting"
    - "generalizing determinization from automata to coalgebras"
    - "compositionality of approximate bisimulation for probabilistic systems"
    - "generic trace semantics via coinduction"

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)