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 "backdoor decomposable monotone circuits and their propagation complete encodings"):
  Abstract: We describe a compilation language of backdoor decomposable monotone circuits (BDMCs) which generalizes several concepts appearing in the literature, e.g. DNNFs and backdoor trees. A BDMC sentence is a monotone circuit which satisfies decomposability property (such as in DNNF) in which the inputs (or leaves) are associated with CNF encodings of some functions required to be propagation complete (PC) or at least unit refutation complete (URC). BDMCs are strictly more succinct than both DNNF and backdoor trees. On the other hand, we show that a representation of a boolean function with a BDMC can be compiled into a PC encoding of the same function whose size is polynomial in the size of the input BDMC sentence. As a consequence, BDMCs are equally succinct as PC encodings, however, their structure allows to incorporate parts equivalent to a DNNF. This makes BDMCs suitable for applications, where it is beneficial to combine DNNF with tractable classes of CNF formulas like 2-CNF or renamable Horn formulas.

Includes members:
  Member "propagation complete encodings of smooth dnnf theories":
    also connected through other hyperedges:
      (none)
  Member "on tackling the limits of resolution in sat solving":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "towards a better understanding of partial weighted maxsat proof systems")
  Member "expander cnfs have exponential dnnf size":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "smoothing structured decomposable circuits")
  Member "circuit complexity and decompositions of global constraints":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "bounds on the size of pc and urc formulas")
  Member "a knowledge compilation map":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "abstracting probabilistic models a logical perspective")

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)