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 "phase transitions in knowledge compilation an experimental study"):
  Abstract: Phase transitions in many complex combinational problems have been widely studied in the past decade. In this paper, we investigate phase transitions in the knowledge compilation empirically, where DFA, OBDD and d-DNNF are chosen as the target languages to compile random k-SAT instances. We perform intensive experiments to analyze the sizes of compilation results and draw the following conclusions: there exists an easy-hard-easy pattern in compilations; the peak point of sizes in the pattern is only related to the ratio of the number of clauses to that of variables when k is fixed, regardless of target languages; most sizes of compilation results increase exponentially with the number of variables growing, but there also exists a phase transition that separates a polynomial-increment region from the exponential-increment region; Moreover, we explain why the phase transition in compilations occurs by analyzing microstructures of DFAs, and conclude that a kind of solution interchangeability with more than 2 variables has a sharp transition near the peak point of the easy-hard-easy pattern, and thus it has a great impact on sizes of DFAs.

Includes members:
  Member "where are the really hard manipulation problems the phase transition in manipulating the veto rule":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "deceased organ matching in australia")
  Member "exact phase transition of backtrack free search with implications on the power of greedy algorithms":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on exponential time lower bound of knapsack under backtracking")
  Member "and or multi valued decision diagrams aomdds for graphical models":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "compiling stochastic constraint programs to and or decision diagrams")
  Member "a knowledge compilation map":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "abstracting probabilistic models a logical perspective")
  Member "exact phase transitions in random constraint satisfaction problems":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "estimating the density of states of boolean satisfiability problems on classical and quantum computing platforms")
  Member "the good old davis putnam procedure helps counting models":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "estimating the density of states of boolean satisfiability problems on classical and quantum computing platforms")

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.AI(Artificial Intelligence)