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: "weighted logics for nested words and algebraic formal power series"
  Abstract: Nested words, a model for recursive programs proposed by Alur and Madhusudan,#N#have recently gained much interest. In this paper we introduce quantitative#N#extensions and study nested word series which assign to nested words elements#N#of a semiring. We show that regular nested word series coincide with series#N#definable in weighted logics as introduced by Droste and Gastin. For this we#N#establish a connection between nested words and the free bisemigroup. Applying#N#our result, we obtain characterizations of algebraic formal power series in#N#terms of weighted logics. This generalizes results of Lautemann, Schwentick and#N#Therien on context-free languages.

Connected through hyperedge HE-1 (induced by source paper "hankel matrices for weighted visibly pushdown automata"):
  with members:
    - "on the complexity of equivalence and minimisation for q weighted automata"
    - "weighted automata and monadic second order logic"
    - "measuring and synthesizing systems in probabilistic environments"
    - "probabilistic weighted automata"
    - "a spectral algorithm for learning hidden markov models"
    - "first order and temporal logics for nested words"

Connected through hyperedge HE-2 (induced by source paper "nested weighted automata"):
  with members:
    - "quantitative languages defined by functional automata"
    - "mean payoff pushdown games"
    - "expressiveness and closure properties for quantitative languages"
    - "mean payoff automaton expressions"
    - "probabilistic weighted automata"

Connected through hyperedge HE-3 (induced by source paper "weighted automata and logics for infinite nested words"):
  with members:
    - "expressiveness and closure properties for quantitative languages"
    - "first order and temporal logics for nested words"

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)