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 automata and monadic second order logic"
  Abstract: Let S be a commutative semiring. M. Droste and P. Gastin have introduced in 2005 weightedmonadic second order logic WMSOL with weights in S. They use a syntactic fragment RMSOLofWMSOL to characterizewordfunctions(powerseries)recognizablebyweightedautomata, wherethe semantics of quantiﬁers is used both as arithmetical ope rations and, in the boolean case, as quan-tiﬁcation.Already in 2001, B. Courcelle, J.Makowsky and U. Rotics have introduceda formalism for graphparameters deﬁnable in Monadic Second order Logic, here cal led MSOLEVAL with values in a ringR. Their framework can be easily adapted to semirings S. This formalism clearly separates thelogical part from the arithmetical part and also applies to word functions.In this paperwe give two proofs that RMSOL and MSOLEVAL with values in S have the sameexpressive power over words. One proof shows directly that MSOLEVAL captures the functionsrecognizable by weighted automata. The other proof shows how to translate the formalisms fromone into the other.

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"
    - "measuring and synthesizing systems in probabilistic environments"
    - "weighted logics for nested words and algebraic formal power series"
    - "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 "connection matrices and the definability of graph parameters"):
  with members:
    - "the complexity of nonrepetitive edge coloring of graphs"
    - "efficient approximation of convex recolorings"

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)