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: "an application of the feferman vaught theorem to automata and logics for words over an infinite alphabet"
  Abstract: We show that a special case of the Feferman-Vaught composition theorem gives#N#rise to a natural notion of automata for finite words over an infinite#N#alphabet, with good closure and decidability properties, as well as several#N#logical characterizations. We also consider a slight extension of the#N#Feferman-Vaught formalism which allows to express more relations between#N#component values (such as equality), and prove related decidability results.#N#  From this result we get new classes of decidable logics for words over an#N#infinite alphabet.

Connected through hyperedge HE-1 (induced by source paper "one counter automata with counter visibility"):
  with members:
    - "shortest paths in one counter systems"
    - "integer vector addition systems with states"

Connected through hyperedge HE-2 (induced by source paper "trees over infinite structures and path logics with synchronization"):
  with members:
    - "separability in the ambient logic"

Connected through hyperedge HE-3 (induced by source paper "compatibility of shelah and stupp s and muchnik s iteration with fragments of monadic second order logic"):
  with members:
    - "transforming structures by set interpretations"

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)