human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "equations in oligomorphic clones and the constraint satisfaction problem for omega categorical structures"):
  Abstract: There exist two conjectures for constraint satisfaction problems (CSPs) of reducts of finitely bounded homogeneous structures: the first one states that tractability of the CSP of such a structure is, when the structure is a model-complete core, equivalent to its polymorphism clone satisfying a certain non-trivial linear identity modulo outer embeddings. The second conjecture, challenging the approach via model-complete cores by reflections, states that tractability is equivalent to the linear identities (without outer embeddings) satisfied by its polymorphisms clone, together with the natural uniformity on it, being non-trivial. #R##N#We prove that the identities satisfied in the polymorphism clone of a structure allow for conclusions about the orbit growth of its automorphism group, and apply this to show that the two conjectures are equivalent. We contrast this with a counterexample showing that $\omega$-categoricity alone is insufficient to imply the equivalence of the two conditions above in a model-complete core. #R##N#Taking a different approach, we then show how the Ramsey property of a homogeneous structure can be utilized for obtaining a similar equivalence under different conditions. #R##N#We then prove that any polymorphism of sufficiently large arity which is totally symmetric modulo outer embeddings of a finitely bounded structure can be turned into a non-trivial system of linear identities, and obtain non-trivial linear identities for all tractable cases of reducts of the rational order, the random graph, and the random poset. #R##N#Finally, we provide a new and short proof, in the language of monoids, of the existence and uniqueness of the model-complete core of an $\omega$-categorical structure.

Includes members:
  Member "the algebraic dichotomy conjecture for infinite domain constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "a complexity dichotomy for poset constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "complexity classification in infinite domain constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "asnp a tame fragment of existential second order logic")
  Member "schaefer s theorem for graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "when symmetries are not enough a hierarchy of hard constraint satisfaction problems")
  Member "cores of countably categorical structures":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "topology is relevant in a dichotomy conjecture for infinite domain constraint satisfaction problems")

Question: Please tell me which class the source paper 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)