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: "a proof for p np problem"
  Abstract: The $\textbf{P} =? \textbf{NP}$ problem is an important problem in contemporary mathematics and theoretical computer science. Many proofs have been proposed to this problem. This paper proposes a theoretic proof for $\textbf{P} =? \textbf{NP}$ problem. The central idea of this proof is a recursive definition for Turing machine (shortly TM) that accepts the encoding strings of valid TMs within any given alphabet. As the concepts "Tao", "Yin" and "Yang" described in Chinese philosopy, an infinite sequence of TM, within any given alphabet, is constructed recursively, and it is proven that the sequence includes all valid TMs, and each of them run in polynomial time. Based on these TMs, the class \textbf{D} that includes all decidable languages is defined, and then the class $\textbf{P}$ and $\textbf{NP}$ are defined. By proving $\textbf{P} \subseteq \textbf{NP}$ and $\textbf{NP} \subseteq \textbf{P}$, the result $\textbf{P}=\textbf{NP}$ is proven.

Connected through hyperedge HE-1 (induced by source paper "about accuracy of the solution of np complete tasks"):
  with members:
    - "topological approach to solve p versus np"
    - "on the principal impossibility to prove p np"

Connected through hyperedge HE-2 (induced by source paper "how to solve ksat in polynomial time"):
  with members:
    - "towards p np via k sat a k sat algorithm using linear algebra on finite fields"
    - "algorithmic complexity of pair cleaning method for k satisfiability problem draft version"
    - "finding of k in fagin s r theorem 24"

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.CC(Computational Complexity)