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 satisfiability algorithm for ac 0"
  Abstract: We consider the problem of efficiently enumerating the satisfying assignments to $\AC^0$ circuits. We give a zero-error randomized algorithm which takes an $\AC^0$ circuit as input and constructs a set of restrictions which partition $\{0,1\}^n$ so that under each restriction the value of the circuit is constant. Let $d$ denote the depth of the circuit and $cn$ denote the number of gates. This algorithm runs in time $|C| 2^{n(1-\mu_{c.d})}$ where $|C|$ is the size of the circuit for $\mu_{c,d} \ge 1/\bigO[\lg c + d \lg d]^{d-1}$ with probability at least $1-2^{-n}$. #R##N#As a result, we get improved exponential time algorithms for $\AC^0$ circuit satisfiability and for counting solutions. In addition, we get an improved bound on the correlation of $\AC^0$ circuits with parity. #R##N#As an important component of our analysis, we extend the H{\aa}stad Switching Lemma to handle multiple $\kcnf$s and $\kdnf$s.

Connected through hyperedge HE-1 (induced by source paper "more consequences of falsifying seth and the orthogonal vectors conjecture"):
  with members:
    - "on the fine grained complexity of empirical risk minimization kernel methods and neural networks"
    - "conditional lower bounds for all pairs max flow"
    - "on the fine grained complexity of one dimensional dynamic programming"
    - "distributed pcp theorems for hardness of approximation in p"
    - "tree edit distance cannot be computed in strongly subcubic time unless apsp can"
    - "fine grained complexity of analyzing compressed data quantifying improvements over decompress and solve"
    - "improving viterbi is hard better runtimes imply faster clique algorithms"
    - "on the hardness of partially dynamic graph problems and connections to diameter"

Connected through hyperedge HE-2 (induced by source paper "average case lower bounds and satisfiability algorithms for small threshold circuits"):
  with members:
    - "analysis of boolean functions"
    - "new algorithms and lower bounds for circuits with linear threshold gates"
    - "a tail bound for read k families of functions"
    - "a satisfiability algorithm for sparse depth two threshold circuits"
    - "average sensitivity and noise sensitivity of polynomial threshold functions"
    - "bounded independence fools halfspaces"
    - "bounding the sensitivity of polynomial threshold functions"
    - "pseudorandom generators for polynomial threshold functions"

Connected through hyperedge HE-3 (induced by source paper "fine grained reductions from approximate counting to decision"):
  with members:
    - "edge estimation with independent set oracles"
    - "clustered integer 3sum via additive combinatorics"
    - "faster all pairs shortest paths via circuit complexity"
    - "exploiting independent subformulas a faster approximation scheme for k sat"
    - "the relative exponential time complexity of approximate counting satisfying assignments"
    - "3 sat faster and simpler unique sat bounds for ppsz hold in general"
    - "an approximation algorithm for k sat"

Connected through hyperedge HE-4 (induced by source paper "quantified derandomization of linear threshold circuits"):
  with members:
    - "deterministic search for cnf satisfying assignments in almost polynomial time"
    - "average case lower bounds and satisfiability algorithms for small threshold circuits"
    - "randomness extraction in ac0 and with small locality"
    - "pseudorandomness via the discrete fourier transform"
    - "super linear gate and super quadratic wire lower bounds for depth two and depth three threshold circuits"
    - "analysis of boolean functions"
    - "new algorithms and lower bounds for circuits with linear threshold gates"
    - "almost optimal pseudorandom generators for spherical caps"

Connected through hyperedge HE-5 (induced by source paper "on polynomial approximations to ac 0"):
  with members:
    - "analysis of boolean functions"
    - "new algorithms and lower bounds for circuits with linear threshold gates"

Connected through hyperedge HE-6 (induced by source paper "an average case depth hierarchy theorem for boolean circuits"):
  with members:
    - "faster all pairs shortest paths via circuit complexity"
    - "challenges in computational lower bounds"
    - "a counterexample to the generalized linial nisan conjecture"

Connected through hyperedge HE-7 (induced by source paper "analysis of boolean functions"):
  with members:
    - "improved bounds for the randomized decision tree complexity of recursive majority"
    - "some improvements to total degree tests"
    - "dnf sparsification and a faster deterministic counting algorithm"
    - "hypercontractive inequalities via sos with an application to vertex cover"
    - "hypercontractivity sum of squares proofs and their applications"
    - "majority is stablest discrete and sos"
    - "the influence lower bound via query elimination"
    - "fooling functions of halfspaces under product distributions"

Connected through hyperedge HE-8 (induced by source paper "algorithms versus circuit lower bounds"):
  with members:
    - "satisfiability algorithms for restricted circuit classes"
    - "natural proofs versus derandomization"
    - "a satisfiability algorithm for sparse depth two threshold circuits"
    - "almost natural proofs"

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)