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 "synchronous byzantine lattice agreement in o log f rounds"):
  Abstract: In the Lattice Agreement (LA) problem, originally proposed by Attiya et al. \cite{Attiya:1995}, a set of processes has to decide on a chain of a lattice. More precisely, each correct process proposes an element $e$ of a certain join-semi lattice $L$ and it has to decide on a value that contains $e$. Moreover, any pair $p_i,p_j$ of correct processes has to decide two values $dec_i$ and $dec_j$ that are comparable (e.g., $dec_i \leq dec_j$ or $dec_j < dec_i$). LA has been studied for its practical applications, as example it can be used to implement a snapshot objects \cite{Attiya:1995} or a replicated state machine with commutative operations \cite{Faleiro:2012}. Interestingly, the study of the Byzantine Lattice Agreement started only recently, and it has been mainly devoted to asynchronous systems. The synchronous case has been object of a recent pre-print \cite{Zheng:aa} where Zheng et al. propose an algorithm terminating in ${\cal O}(\sqrt f)$ rounds and tolerating $f < \lceil n/3 \rceil$ Byzantine processes. #R##N#In this paper we present new contributions for the synchronous case. We investigate the problem in the usual message passing model for a system of $n$ processes with distinct unique IDs. We first prove that, when only authenticated channels are available, the problem cannot be solved if $f=n/3$ or more processes are Byzantine. We then propose a novel algorithm that works in a synchronous system model with signatures (i.e., the {\em authenticated message} model), tolerates up to $f$ byzantine failures (where $f<n/3$) and that terminates in ${\cal O}(\log f)$ rounds. We discuss how to remove authenticated messages at the price of algorithm resiliency ($f < n/4$). Finally, we present a transformer that converts any synchronous LA algorithm to an algorithm for synchronous Generalised Lattice Agreement.

Includes members:
  Member "byzantine approximate agreement on graphs":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "byzantine lattice agreement in synchronous systems")
  Member "byzantine lattice agreement in synchronous systems":
    also connected through other hyperedges:
      (none)
  Member "byzantine generalized lattice agreement":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "byzantine lattice agreement in synchronous systems")
  Member "linearizable state machine replication of state based crdts without logs":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "byzantine lattice agreement in synchronous systems")
  Member "lattice agreement in message passing systems":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "byzantine lattice agreement in synchronous systems")
  Member "line recovery by programmable particles":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "mobile ram and shape formation by programmable particles")
  Member "population protocols with faulty interactions the impact of a leader":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "fault tolerant network constructors")
  Member "simple gradecast based algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "byzantine lattice agreement in synchronous systems")

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)