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 "understanding the complexity of sat using knowledge compilation"):
  Abstract: Two main techniques have been used so far to solve the #P-hard problem #SAT. The first one, used in practice, is based on an extension of DPLL for model counting called exhaustive DPLL. The second approach, more theoretical, exploits the structure of the input to compute the number of satisfying assignments by usually using a dynamic programming scheme on a decomposition of the formula. In this paper, we make a first step toward the separation of these two techniques by exhibiting a family of formulas that can be solved in polynomial time with the first technique but needs an exponential time with the second one. We show this by observing that both techniques implicitely construct a very specific boolean circuit equivalent to the input formula. We then show that every beta-acyclic formula can be represented by a polynomial size circuit corresponding to the first method and exhibit a family of beta-acyclic formulas which cannot be represented by polynomial size circuits corresponding to the second method. This result shed a new light on the complexity of #SAT and related problems on beta-acyclic formulas. As a byproduct, we give new handy tools to design algorithms on beta-acyclic hypergraphs.

Includes members:
  Member "new limits for knowledge compilation and applications to exact model counting":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the relation between structured d dnnfs and sdds")
  Member "hypergraph acyclicity and propositional model counting":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "dependency weighted aggregation on factorized databases")
  Member "solving maxsat and sat on structured cnf formulas":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "knowledge compilation width and quantification")
  Member "understanding model counting for beta acyclic cnf formulas":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "approximate counting csp seen from the other side")
  Member "no small nondeterministic read once branching programs for cnfs of bounded treewidth":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "connecting knowledge compilation classes and width parameters")
  Member "model counting for formulas of bounded clique width":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "revisiting graph width measures for cnf encodings")
  Member "on obdds for cnfs of bounded treewidth":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "connecting knowledge compilation classes and width parameters")
  Member "lower bounds for exact model counting and applications in probabilistic databases":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "on the relation between structured d dnnfs and sdds")

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.CC(Computational Complexity)