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 infinite traces and kleisli simulations"
  Abstract: Kleisli simulation is a categorical notion introduced by Hasuo to verify finite trace inclusion. They allow us to give definitions of forward and backward simulation for various types of systems. A generic categorical theory behind Kleisli simulation has been developed and it guarantees the soundness of those simulations wrt. finite trace semantics. Moreover, those simulations can be aided by forward partial execution (FPE)---a categorical transformation of systems previously introduced by the authors. #R##N#In this paper, we give Kleisli simulation a theoretical foundation that assures its soundness also wrt. infinite trace. There, following Jacobs' work, infinite trace semantics is characterized as the "largest homomorphism." It turns out that soundness of forward simulations is rather straightforward; that of backward simulation holds too, although it requires certain additional conditions and its proof is more involved. We also show that FPE can be successfully employed in the infinite trace setting to enhance the applicability of Kleisli simulations as witnesses of trace inclusion. Our framework is parameterized in the monad for branching as well as in the functor for linear-time behaviors; for the former we use the powerset monad (for nondeterminism) as well as the sub-Giry monad (for probability).

Connected through hyperedge HE-1 (induced by source paper "guarded and unguarded iteration for generalized processes"):
  with members:
    - "guarded traced categories"
    - "guard your daggers and traces properties of guarded co recursion"
    - "partiality revisited the partiality monad as a quotient inductive inductive type"
    - "complete elgot monads and coalgebraic resumptions"
    - "some remarks on conway and iteration theories"
    - "a hoare logic for the coinductive trace based big step semantics of while"
    - "a coinductive calculus for asynchronous side effecting processes"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-2 (induced by source paper "quantitative simulations by matrices"):
  with members:
    - "coalgebraic trace semantics via forgetful logics"
    - "coinduction up to in a fibrational setting"
    - "coalgebraic trace semantics for continuous probabilistic transition systems"
    - "sound and complete axiomatizations of coalgebraic language equivalence"
    - "computation of the greatest simulations and bisimulations between fuzzy automata"
    - "bisimulations for fuzzy automata"
    - "simulation vs equivalence"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-3 (induced by source paper "categorical liveness checking by corecursive algebras"):
  with members:
    - "coalgebraic trace semantics for buechi and parity automata"
    - "healthiness from duality"
    - "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-4 (induced by source paper "fair simulation for nondeterministic and probabilistic buechi automata a coalgebraic perspective"):
  with members:
    - "quantitative simulations by matrices"
    - "coalgebraic trace semantics for buechi and parity automata"
    - "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)