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: "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.

Connected through hyperedge HE-1 (induced by source paper "preservation of equations by monoidal monads"):
  with members:
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-2 (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"
    - "mixed powerdomains for probability and nondeterminism"
    - "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-3 (induced by source paper "path category for free open morphisms from coalgebras with non deterministic branching"):
  with members:
    - "on path based coalgebras and weak notions of bisimulation"
    - "regular behaviours with names"
    - "well pointed coalgebras"
    - "nominal coalgebraic data types with applications to lambda calculus"
    - "history preserving bisimilarity for higher dimensional automata via open maps"
    - "algebraic theories over nominal sets"
    - "generic trace semantics via coinduction"

Connected through hyperedge HE-4 (induced by source paper "convex language semantics for nondeterministic probabilistic automata"):
  with members:
    - "revisiting trace and testing equivalences for nondeterministic and probabilistic processes"
    - "probabilistic bisimulation naturally on distributions"
    - "towards a coalgebraic chomsky hierarchy"
    - "positivity problems for low order linear recurrence sequences"
    - "generalizing determinization from automata to coalgebras"

Connected through hyperedge HE-5 (induced by source paper "layer by layer combining monads"):
  with members:
    - "cantor meets scott semantic foundations for probabilistic networks"
    - "coalgebraic trace semantics via forgetful logics"
    - "presenting distributive laws"
    - "generic trace semantics via coinduction"

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)