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 "weak models of distributed computing with connections to modal logic"):
  Abstract: This work presents a classification of weak models of distributed computing. We focus on deterministic distributed algorithms, and study models of computing that are weaker versions of the widely-studied port-numbering model. In the port-numbering model, a node of degree $$d$$ d receives messages through $$d$$ d input ports and sends messages through $$d$$ d output ports, both numbered with $$1,2,\ldots ,d$$ 1 , 2 , ? , d . In this work, $${\mathsf{VV}}_\mathsf{c}$$ VV c is the class of all graph problems that can be solved in the standard port-numbering model. We study the following subclasses of $${\mathsf{VV}}_\mathsf{c}$$ VV c : Now we have many trivial containment relations, such as $$\mathsf{SB}\subseteq \mathsf{MB}\subseteq \mathsf{VB}\subseteq {\mathsf {VV}}\subseteq {\mathsf{VV}}_\mathsf{c}$$ SB ⊆ MB ⊆ VB ⊆ VV ⊆ VV c , but it is not obvious if, for example, either of $$\mathsf{VB}\subseteq \mathsf{SV}$$ VB ⊆ SV or $$\mathsf{SV}\subseteq \mathsf{VB}$$ SV ⊆ VB should hold. Nevertheless, it turns out that we can identify a linear order on these classes. We prove that $$\mathsf{SB}\subsetneq \mathsf{MB}= \mathsf{VB}\subsetneq \mathsf{SV}= \mathsf{MV}= {\mathsf {VV}}\subsetneq {\mathsf{VV}}_\mathsf{c}$$ SB ? MB = VB ? SV = MV = VV ? VV c . The same holds for the constant-time versions of these classes. We also show that the constant-time variants of these classes can be characterised by a corresponding modal logic. Hence the linear order identified in this work has direct implications in the study of the expressibility of modal logic. Conversely, one can use tools from modal logic to study these classes.

Includes members:
  Member "lower bounds for local approximation":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a breezing proof of the kmw bound")
  Member "beeping a maximal independent set":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "distributed voting in beep model")
  Member "stone age distributed computing":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "ability to count is worth theta delta rounds")
  Member "almost stable matchings by truncating the gale shapley algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "missing movie synergistic completion across multiple isomeric online movie knowledge libraries")
  Member "local algorithms in weakly coloured graphs":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a survey on the expressive power of graph neural networks")
  Member "deploying wireless networks with beeps":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "distributed voting in beep model")
  Member "an optimal local approximation algorithm for max min linear programs":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "local distributed verification")
  Member "a simple local 3 approximation algorithm for vertex cover":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "smaller cuts higher lower bounds")

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.DC(Distributed, Parallel, and Cluster Computing)