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 "xpl an extended probabilistic logic for probabilistic transition systems"):
  Abstract: Generalized Probabilistic Logic (GPL) is a temporal logic, based on the modal mu-calculus, for specifying properties of reactive probabilistic systems. GPL is expressive enough that termination of Recursive Markov Chains (RMCs) can be cast as a model checking problem over GPL. In this paper, we explore XPL, an extension to GPL for expressing properties of transition systems with probabilistic and nondeterministic behavior, such as Recursive Markov Decision Processes (Recursive MDPs or RMDPs). However, since termination of multi-exit RMDPs is undecidable, model checking in XPL is undecidable as well. We provide a model checking procedure for XPL that always terminates: either successfully with the model checking result, or with failure. We define a sufficient condition for success via a syntactically-characterized class, called separable XPL formulae. We show that a large class of problems, including termination of 1-exit RMDPs and PCTL* model checking of MDPs, can be reduced to the model checking of separable XPL formulae.

Includes members:
  Member "greatest fixed points of probabilistic min max polynomial equations and reachability for branching markov decision processes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "reachability for branching concurrent stochastic games")
  Member "on the problem of computing the probability of regular sets of trees":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the uniform measure of simple regular sets of infinite trees")
  Member "probabilistic modal mu calculus with independent product":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the uniform measure of simple regular sets of infinite trees")
  Member "model checking with probabilistic tabled logic programming":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a refinement based architecture for knowledge representation and reasoning in robotics")
  Member "model checking stochastic branching processes":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "the uniform measure of simple regular sets of infinite trees")
  Member "polynomial time algorithms for branching markov decision processes and probabilistic min max polynomial bellman equations":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "reachability for branching concurrent stochastic games")

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)