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 "from complexity to algebra and back digraph classes collapsibility and the pgp"):
  Abstract: Inspired by computational complexity results for the quantified constraint satisfaction problem, we study the clones of idempotent polymorphisms of certain digraph classes. Our first results are two algebraic dichotomy, even "gap", theorems. Building on and extending [Martin CP'11], we prove that partially reflexive paths bequeath a set of idempotent polymorphisms whose associated clone algebra has: either the polynomially generated powers property (PGP); or the exponentially generated powers property (EGP). Similarly, we build on [DaMM ICALP'14] to prove that semicomplete digraphs have the same property. #R##N#These gap theorems are further motivated by new evidence that PGP could be the algebraic explanation that a QCSP is in NP even for unbounded alternation. Along the way we also effect a study of a concrete form of PGP known as collapsibility, tying together the algebraic and structural threads from [Chen Sicomp'08], and show that collapsibility is equivalent to its $\Pi_2$-restriction. We also give a decision procedure for $k$-collapsibility from a singleton source of a finite structure (a form of collapsibility which covers all known examples of PGP for finite structures). #R##N#Finally, we present a new QCSP trichotomy result, for partially reflexive paths with constants. Without constants it is known these QCSPs are either in NL or Pspace-complete [Martin CP'11], but we prove that with constants they attain the three complexities NL, NP-complete and Pspace-complete.

Includes members:
  Member "quantified constraints and containment problems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "qcsp monsters and the demise of the chen conjecture")
  Member "on the complexity of the model checking problem":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "qcsp monsters and the demise of the chen conjecture")
  Member "meditations on quantified constraint satisfaction":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "qcsp monsters and the demise of the chen conjecture")
  Member "containment equivalence and coreness from csp to qcsp and beyond":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "quantified constraints and containment problems")
  Member "qcsp on partially reflexive forests":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "qcsp on partially reflexive cycles the wavy line of tractability")
  Member "the complexity of positive first order logic without equality":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "an algebraic preservation theorem for aleph zero categorical quantified constraint satisfaction")
  Member "the complexity of quantified constraint satisfaction collapsibility sink algebras and the three element case":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "qcsp monsters and the demise of the chen conjecture")

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)