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 "vicious circle principle and formation of sets in asp based languages"):
  Abstract: The paper continues the investigation of Poincare and Russel's Vicious Circle Principle (VCP) in the context of the design of logic programming languages with sets. We expand previously introduced language Alog with aggregates by allowing infinite sets and several additional set related constructs useful for knowledge representation and teaching. In addition, we propose an alternative formalization of the original VCP and incorporate it into the semantics of new language, Slog+, which allows more liberal construction of sets and their use in programming rules. We show that, for programs without disjunction and infinite sets, the formal semantics of aggregates in Slog+ coincides with that of several other known languages. Their intuitive and formal semantics, however, are based on quite different ideas and seem to be more involved than that of Slog+.

Includes members:
  Member "complexity and compilation of gz aggregates in answer set programming":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "shared aggregate sets in answer set programming")
  Member "rewriting recursive aggregates in answer set programming back to monotonicity":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "an asp semantics for constraints involving conditional aggregates")
  Member "vicious circle principle and logic programs with aggregates":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "an asp semantics for constraints involving conditional aggregates")
  Member "characterizations of stable model semantics for logic programs with arbitrary constraint atoms":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "relating weight constraint and aggregate programs semantics and representation")
  Member "well founded and stable semantics of logic programs with aggregates":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "selp a single shot epistemic logic program solver")
  Member "weight constraints as nested expressions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "strong equivalence and program s structure in arguing essential equivalence between logic programs")

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)