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: "bisimulations meet pctl equivalences for probabilistic automata"
  Abstract: Probabilistic automata (PAs) have been successfully applied in formal#N#verification of concurrent and stochastic systems. Efficient model checking#N#algorithms have been studied, where the most often used logics for expressing#N#properties are based on probabilistic computation tree logic (PCTL) and its#N#extension PCTL^*. Various behavioral equivalences are proposed, as a powerful#N#tool for abstraction and compositional minimization for PAs. Unfortunately, the#N#equivalences are well-known to be sound, but not complete with respect to the#N#logical equivalences induced by PCTL or PCTL*. The desire of a both sound and#N#complete behavioral equivalence has been pointed out by Segala in 1995, but#N#remains open throughout the years. In this paper we introduce novel notions of#N#strong bisimulation relations, which characterize PCTL and PCTL* exactly. We#N#extend weak bisimulations that characterize PCTL and PCTL* without next#N#operator, respectively. Further, we also extend the framework to simulation#N#preorders. Thus, our paper bridges the gap between logical and behavioral#N#equivalences and preorders in this setting.

Connected through hyperedge HE-1 (induced by source paper "probabilistic bisimulation naturally on distributions"):
  with members:
    - "robust synchronization in markov decision processes"
    - "when equivalence and bisimulation join forces in probabilistic automata"
    - "late weak bisimulation for markov automata"
    - "deciding probabilistic automata weak bisimulation in polynomial time"
    - "mean field for markov decision processes from discrete to continuous optimization"
    - "qualitative analysis of partially observable markov decision processes"

Connected through hyperedge HE-2 (induced by source paper "the spectrum of strong behavioral equivalences for nondeterministic and probabilistic processes"):
  with members:
    - "revisiting trace and testing equivalences for nondeterministic and probabilistic processes"
    - "computing distances between probabilistic automata"
    - "characterising testing preorders for finite probabilistic processes"
    - "game refinement relations and metrics"

Connected through hyperedge HE-3 (induced by source paper "bisimulations and logical characterizations on continuous time markov decision processes"):
  with members:
    - "computing distances between probabilistic automata"
    - "efficient approximation of optimal control for markov games"
    - "finite optimal control for time bounded reachability in ctmdps and continuous time markov games"
    - "flow faster efficient decision algorithms for probabilistic simulations"

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)