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: "proper functors and fixed points for finite behaviour"
  Abstract: The rational fixed point of a set functor is well-known to capture the behaviour of finite coalgebras. In this paper we consider functors on algebraic categories. For them the rational fixed point may no longer be fully abstract, i.e. a subcoalgebra of the final coalgebra. Inspired by \'Esik and Maletti's notion of a proper semiring, we introduce the notion of a proper functor. We show that for proper functors the rational fixed point is determined as the colimit of all coalgebras with a free finitely generated algebra as carrier and it is a subcoalgebra of the final coalgebra. Moreover, we prove that a functor is proper if and only if that colimit is a subcoalgebra of the final coalgebra. These results serve as technical tools for soundness and completeness proofs for coalgebraic regular expression calculi, e.g. for weighted automata.

Connected through hyperedge HE-1 (induced by source paper "on the behaviour of coalgebras with side effects and algebras with effectful iteration"):
  with members:
    - "a new foundation for finitary corecursion and iterative algebras"
    - "proper semirings and proper convex functors"
    - "regular behaviours with names"
    - "sound and complete axiomatizations of coalgebraic language equivalence"
    - "generalizing determinization from automata to coalgebras"
    - "nominal coalgebraic data types with applications to lambda calculus"
    - "semantics of higher order recursion schemes"
    - "simulations of weighted tree automata"

Connected through hyperedge HE-2 (induced by source paper "a new foundation for finitary corecursion and iterative algebras"):
  with members:
    - "towards a coalgebraic chomsky hierarchy"
    - "sound and complete axiomatizations of coalgebraic language equivalence"
    - "coalgebraic characterizations of context free languages"
    - "generalizing determinization from automata to coalgebras"
    - "on the specification of operations on the rational behaviour of systems"
    - "semantics of higher order recursion schemes"
    - "non deterministic kleene coalgebras"
    - "the category theoretic solution of recursive program schemes"

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)