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: "coalgebraic trace semantics for buechi and parity automata"
  Abstract: Despite its success in producing numerous general results on state-based dynamics, the theory of coalgebra has struggled to accommodate the Buechi acceptance condition---a basic notion in the theory of automata for infinite words or trees. In this paper we present a clean answer to the question that builds on the "maximality" characterization of infinite traces (by Jacobs and Cirstea): the accepted language of a Buechi automaton is characterized by two commuting diagrams, one for a least homomorphism and the other for a greatest, much like in a system of (least and greatest) fixed-point equations. This characterization works uniformly for the nondeterministic branching and the probabilistic one; and for words and trees alike. We present our results in terms of the parity acceptance condition that generalizes Buechi's.

Connected through hyperedge HE-1 (induced by source paper "a coalgebraic take on regular and omega regular behaviours"):
  with members:
    - "killing epsilons with a dagger a coalgebraic study of systems with algebraic label structure"
    - "weak bisimulation for coalgebras over order enriched monads"
    - "behavioural equivalences for coalgebras with unobservable moves"
    - "on coalgebras with internal moves"
    - "corecursive algebras corecursive monads and bloom monads"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-2 (induced by source paper "categorical liveness checking by corecursive algebras"):
  with members:
    - "healthiness from duality"
    - "coalgebraic infinite traces and kleisli simulations"
    - "well pointed coalgebras"
    - "pspace bounds for rank 1 modal logics"
    - "generic trace semantics via coinduction"
    - "positional determinacy of games with infinitely many priorities"

Connected through hyperedge HE-3 (induced by source paper "fair simulation for nondeterministic and probabilistic buechi automata a coalgebraic perspective"):
  with members:
    - "quantitative simulations by matrices"
    - "coalgebraic infinite traces and kleisli simulations"
    - "coalgebraic trace semantics for continuous probabilistic transition systems"
    - "from branching to linear time coalgebraically"
    - "generic trace semantics via coinduction"

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)