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: "mixed powerdomains for probability and nondeterminism"
  Abstract: We consider mixed powerdomains combining ordinary nondeterminism and#N#probabilistic nondeterminism. We characterise them as free algebras for#N#suitable (in)equation-al theories; we establish functional representation#N#theorems; and we show equivalencies between state transformers and#N#appropriately healthy predicate transformers. The extended nonnegative reals#N#serve as `truth-values'. As usual with powerdomains, everything comes in three#N#flavours: lower, upper, and order-convex. The powerdomains are suitable convex#N#sets of subprobability valuations, corresponding to resolving nondeterministic#N#choice before probabilistic choice. Algebraically this corresponds to the#N#probabilistic choice operator distributing over the nondeterministic choice#N#operator. (An alternative approach to combining the two forms of nondeterminism#N#would be to resolve probabilistic choice first, arriving at a domain-theoretic#N#version of random sets. However, as we also show, the algebraic approach then#N#runs into difficulties.)#N#  Rather than working directly with valuations, we take a domain-theoretic#N#functional-analytic approach, employing domain-theoretic abstract convex sets#N#called Kegelspitzen; these are equivalent to the abstract probabilistic#N#algebras of Graham and Jones, but are more convenient to work with. So we#N#define power Kegelspitzen, and consider free algebras, functional#N#representations, and predicate transformers. To do so we make use of previous#N#work on domain-theoretic cones (d-cones), with the bridge between the two of#N#them being provided by a free d-cone construction on Kegelspitzen.

Connected through hyperedge HE-1 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings"):
  with members:
    - "well behaved transition systems"
    - "complexity hierarchies beyond elementary"
    - "demystifying reachability in vector addition systems"
    - "finite automata for the sub and superword closure of cfls descriptional and computational complexity"
    - "the power of priority channel systems"
    - "complexity bounds for ordinal based termination"
    - "computing downward closures for stacked counter automata"
    - "the power of well structured systems"

Connected through hyperedge HE-2 (induced by source paper "on the linear structure of cones"):
  with members:
    - "semantics of higher order probabilistic programs with conditioning"
    - "differentials and distances in probabilistic coherence spaces"
    - "linear logic in normed cones probabilistic coherence spaces and beyond"
    - "a domain theory for statistical probabilistic programming"
    - "measurable cones and stable measurable functions a model for probabilistic higher order programming"
    - "probabilistic call by push value"
    - "full abstraction for probabilistic pcf"

Connected through hyperedge HE-3 (induced by source paper "formal verification of higher order probabilistic programs reasoning about approximation convergence bayesian inference and optimization"):
  with members:
    - "equivalence between wasserstein and value aware model based reinforcement learning"
    - "relational reasoning for markov chains in a probabilistic guarded lambda calculus"
    - "measurable cones and stable measurable functions a model for probabilistic higher order programming"
    - "a convenient category for higher order probability theory"
    - "denotational validation of higher order bayesian inference"
    - "a theory of slicing for probabilistic control flow graphs"
    - "a relational logic for higher order programs"
    - "a program logic for union bounds"

Connected through hyperedge HE-4 (induced by source paper "differentials and distances in probabilistic coherence spaces"):
  with members:
    - "a domain theory for statistical probabilistic programming"
    - "an introduction to differential linear logic proof nets models and antiderivatives"
    - "a lambda calculus foundation for universal probabilistic programming"
    - "full abstraction for probabilistic pcf"
    - "execution time of lambda terms via denotational semantics and intersection types"

Connected through hyperedge HE-5 (induced by source paper "the theory of traces for systems with nondeterminism and probability"):
  with members:
    - "trace and testing metrics on nondeterministic probabilistic processes"
    - "convex language semantics for nondeterministic probabilistic automata"
    - "the power of convex algebras"
    - "termination in convex sets of distributions"
    - "a convenient category for higher order probability theory"
    - "layer by layer combining monads"
    - "distribution based bisimulation for labelled markov processes"
    - "a storm is coming a modern probabilistic model checker"

Connected through hyperedge HE-6 (induced by source paper "measurable cones and stable measurable functions a model for probabilistic higher order programming"):
  with members:
    - "an application of computable distributions to the semantics of probabilistic programs"
    - "a convenient category for higher order probability theory"
    - "domains and random variables"
    - "convexity and order in probabilistic call by name fpc"
    - "probabilistic call by push value"
    - "a lambda calculus foundation for universal probabilistic programming"

Connected through hyperedge HE-7 (induced by source paper "distances between states and between predicates"):
  with members:
    - "abstract hidden markov models a monadic account of quantitative information flow"
    - "disintegration and bayesian inversion both abstractly and concretely"
    - "a recipe for state and effect triangles"
    - "an introduction to effectus theory"
    - "behavioral metrics via functor lifting"

Connected through hyperedge HE-8 (induced by source paper "a complete quantitative deduction system for the bisimilarity distance on markov chains"):
  with members:
    - "sound and complete axiomatizations of coalgebraic language equivalence"
    - "approximating a behavioural pseudometric without discount for probabilistic systems"

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)