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: "real analytic machines and degrees"
  Abstract: We study and compare in two degree-theoretic ways (iterated Halting oracles#N#analogous to Kleene's arithmetical hierarchy and the Borel hierarchy of#N#descriptive set theory) the capabilities and limitations of three models of#N#analytic computation: BSS machines (aka real-RAM) and strongly/weakly analytic#N#machines as introduced by Hotz et. al. (1995).

Connected through hyperedge HE-1 (induced by source paper "a topological view on algebraic computation models"):
  with members:
    - "on the algebraic structure of weihrauch degrees"
    - "computability on the countable ordinals and the hausdorff kuratowski theorem"
    - "representations of analytic functions and weihrauch degrees"
    - "comparing representations for function spaces in computable analysis"
    - "weihrauch completeness for layerwise computability"
    - "non deterministic computation and the jayne rogers theorem"
    - "the degree structure of weihrauch reducibility"
    - "noncomputable functions in the blum shub smale model"

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)