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 "distances between states and between predicates"):
  Abstract: This paper gives a systematic account of various metrics on probability distributions (states) and on predicates. These metrics are described in a uniform manner using the validity relation between states and predicates. The standard adjunction between convex sets (of states) and effect modules (of predicates) is restricted to convex complete metric spaces and directed complete effect modules. This adjunction is used in two state-and-effect triangles, for classical (discrete) probability and for quantum probability.

Includes members:
  Member "abstract hidden markov models a monadic account of quantitative information flow":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "hyper normalisation and conditioning for discrete probability distributions")
  Member "mixed powerdomains for probability and nondeterminism":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "disintegration and bayesian inversion both abstractly and concretely":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "lower and upper conditioning in quantum bayesian theory")
  Member "a recipe for state and effect triangles":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "predicate transformer semantics for hybrid systems verification components for isabelle hol")
  Member "an introduction to effectus theory":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "lower and upper conditioning in quantum bayesian theory")
  Member "behavioral metrics via functor lifting":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a modal characterization theorem for a probabilistic fuzzy description logic")

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)