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 "revisionist simulations a new approach to proving space lower bounds"):
  Abstract: Determining the space complexity of $x$-obstruction-free $k$-set agreement for $x\leq k$ is an open problem. In $x$-obstruction-free protocols, processes are required to return in executions where at most $x$ processes take steps. The best known upper bound on the number of registers needed to solve this problem among $n>k$ processes is $n-k+x$ registers. No general lower bound better than $2$ was known. #R##N#We prove that any $x$-obstruction-free protocol solving $k$-set agreement among $n>k$ processes uses at least $\lfloor(n-x)/(k+1-x)\rfloor+1$ registers. Our main tool is a simulation that serves as a reduction from the impossibility of deterministic wait-free $k$-set agreement: if a protocol uses fewer registers, then it is possible for $k+1$ processes to simulate the protocol and deterministically solve $k$-set agreement in a wait-free manner, which is impossible. A critical component of the simulation is the ability of simulating processes to revise the past of simulated processes. We introduce a new augmented snapshot object, which facilitates this. #R##N#We also prove that any space lower bound on the number of registers used by obstruction-free protocols applies to protocols that satisfy nondeterministic solo termination. Hence, our lower bound of $\lfloor(n-1)/k\rfloor+1$ for the obstruction-free ($x=1$) case also holds for randomized wait-free free protocols. In particular, this gives a tight lower bound of exactly $n$ registers for solving obstruction-free and randomized wait-free consensus. #R##N#Finally, our new techniques can be applied to get a space lower of $\lfloor n/2\rfloor+1$ for $\epsilon$-approximate agreement, for sufficiently small $\epsilon$. It requires participating processes to return values within $\epsilon$ of each other. The best known upper bounds are $\lceil\log(1/\epsilon)\rceil$ and $n$, while no general lower bounds were known.

Includes members:
  Member "read write memory and k set consensus as an affine task":
    also connected through other hyperedges:
      (none)
  Member "on the optimal space complexity of consensus for anonymous processes":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a complexity based hierarchy for multiprocessor synchronization")
  Member "on the space complexity of set agreement":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "anonymous obstruction free n k set agreement with n k 1 atomic read write registers")
  Member "anonymous obstruction free n k set agreement with n k 1 atomic read write registers":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "mutex based desanonymization of an anonymous read write memory")
  Member "a generalized asynchronous computability theorem":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "an algorithmic approach to the asynchronous computability theorem")

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)