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: "on the algebraic structure of weihrauch degrees"
  Abstract: We introduce two new operations (compositional products and implication) on#N#Weihrauch degrees, and investigate the overall algebraic structure. The#N#validity of the various distributivity laws is studied and forms the basis for#N#a comparison with similar structures such as residuated lattices and concurrent#N#Kleene algebras. Introducing the notion of an ideal with respect to the#N#compositional product, we can consider suitable quotients of the Weihrauch#N#degrees. We also prove some specific characterizations using the implication.#N#In order to introduce and study compositional products and implications, we#N#introduce and study a function space of multi-valued continuous functions. This#N#space turns out to be particularly well-behaved for effectively traceable#N#spaces that are closely related to admissibly represented spaces.

Connected through hyperedge HE-1 (induced by source paper "searching for an analogue of atr in the weihrauch lattice"):
  with members:
    - "a comparison of concepts from computable analysis and effective descriptive set theory"
    - "dividing by zero how bad is it really"
    - "weihrauch degrees of finding equilibria in sequential games"
    - "the degree structure of weihrauch reducibility"
    - "computation with advice"
    - "on the semi lattices induced by continuous reducibilities"

Connected through hyperedge HE-2 (induced by source paper "many one reductions and the category of multivalued functions"):
  with members:
    - "function spaces for second order polynomial time"
    - "the degree structure of weihrauch reducibility"
    - "complexity theory for operators in analysis"
    - "computation with advice"
    - "on the complexity of local search for weighted standard set problems"
    - "on the semi lattices induced by continuous reducibilities"

Connected through hyperedge HE-3 (induced by source paper "a topological view on algebraic computation models"):
  with members:
    - "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"
    - "real analytic machines and degrees"
    - "noncomputable functions in the blum shub smale model"

Connected through hyperedge HE-4 (induced by source paper "dividing by zero how bad is it really"):
  with members:
    - "representations of analytic functions and weihrauch degrees"

Connected through hyperedge HE-5 (induced by source paper "computability on the countable ordinals and the hausdorff kuratowski theorem"):
  with members:
    - "a topological view on algebraic computation models"
    - "infinite sequential games with real valued payoffs"
    - "the descriptive theory of represented spaces"
    - "weihrauch degrees of finding equilibria in sequential games"
    - "non deterministic computation and the jayne rogers theorem"
    - "the degree structure of weihrauch reducibility"
    - "on the semi lattices induced by continuous reducibilities"
    - "real hypercomputation and continuity"

Connected through hyperedge HE-6 (induced by source paper "weihrauch completeness for layerwise computability"):
  with members:
    - "non deterministic computation and the jayne rogers theorem"
    - "the degree structure of weihrauch reducibility"
    - "on the semi lattices induced by continuous reducibilities"
    - "infinite oracle queries in type 2 machines extended abstract"
    - "computability of probability measures and martin lof randomness over metric spaces"

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)