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 "the power of convex algebras"):
  Abstract: Probabilistic automata (PA) combine probability and nondeterminism. They can be given different semantics, like strong bisimilarity, convex bisimilarity, or (more recently) distribution bisimilarity. The latter is based on the view of PA as transformers of probability distributions, also called belief states, and promotes distributions to first-class citizens. #R##N#We give a coalgebraic account of the latter semantics, and explain the genesis of the belief-state transformer from a PA. To do so, we make explicit the convex algebraic structure present in PA and identify belief-state transformers as transition systems with state space that carries a convex algebra. As a consequence of our abstract approach, we can give a sound proof technique which we call bisimulation up-to convex hull.

Includes members:
  Member "termination in convex sets of distributions":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the theory of traces for systems with nondeterminism and probability")
  Member "a convenient category for higher order probability theory":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "towards verified stochastic variational inference for probabilistic programs")
  Member "high level counterexamples for probabilistic automata":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the probabilistic model checker storm")
  Member "robust synchronization in markov decision processes":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on the complexity of value iteration")
  Member "probabilistic bisimulation naturally on distributions":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the theory of traces for systems with nondeterminism and probability")
  Member "coinduction up to in a fibrational setting":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "codensity games for bisimilarity")
  Member "when equivalence and bisimulation join forces in probabilistic automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "the theory of traces for systems with nondeterminism and probability")
  Member "church a language for generative models":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "semiring programming a declarative framework for generalized sum product 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)