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 "generalized absorptive polynomials and provenance semantics for fixed point logic"):
  Abstract: Semiring provenance is a successful approach to provide detailed information on the combinations of atomic facts that are responsible for the result of a query. In particular, interpretations in general provenance semirings of polynomials or formal power series give precise descriptions of the successful evaluation strategies for the query. While provenance analysis in databases has, for a long time, been largely confined to negation-free query languages, a recent approach extends this to model checking problems for logics with full negation. Algebraically this relies on new quotient semirings of dual-indeterminate polynomials or power series. So far, this approach has been developed mainly for first-order logic and for the positive fragment of least fixed-point logic. What has remained open is an adequate treatment for fixed-point calculi that admit arbitrary interleavings of least and greatest fixed points. We show that an adequate framework for the provenance analysis of full fixed-point logics is provided by semirings that are (1) fully continuous, (2) absorptive, and (3) chain-positive. Full continuity guarantees that provenance values of least and greatest fixed-points are well-defined. Absorptive semirings provide a symmetry between least and greatest fixed-point computations and make sure that provenance values of greatest fixed points are informative. Finally, chain-positivity is responsible for having truth-preserving interpretations, which give non-zero values to all true formulae. We further identify semirings of generalized absorptive polynomials and prove universal properties that make them the most general appropriate semirings for LFP. We illustrate the power of provenance interpretations in these semirings by relating them to provenance values of plays and strategies in the associated model-checking games.

Includes members:
  Member "semiring provenance for first order model checking":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "provenance analysis for logic and games")
  Member "on the limitations of provenance for queries with difference":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "explaining wrong queries using small examples")

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.LO(Logic in Computer Science)