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 "simple fixpoint iteration to solve parity games"):
  Abstract: A naive way to solve the model-checking problem of the mu-calculus uses fixpoint iteration. Traditionally however mu-calculus model-checking is solved by a reduction in linear time to a parity game, which is then solved using one of the many algorithms for parity games. We now consider a method of solving parity games by means of a naive fixpoint iteration. Several fixpoint algorithms for parity games have been proposed in the literature. In this work, we introduce an algorithm that relies on the notion of a distraction. The idea is that this offers a novel perspective for understanding parity games. We then show that this algorithm is in fact identical to two earlier published fixpoint algorithms for parity games and thus that these earlier algorithms are the same. Furthermore, we modify our algorithm to only partially recompute deeper fixpoints after updating a higher set and show that this modification enables a simple method to obtain winning strategies. We show that the resulting algorithm is simple to implement and offers good performance on practical parity games. We empirically demonstrate this using games derived from model-checking, equivalence checking and reactive synthesis and show that our fixpoint algorithm is the fastest solution for model-checking games.

Includes members:
  Member "solving parity games using an automata based algorithm":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a parity game tale of two counters")
  Member "a comparison of bdd based parity game solvers":
    also connected through other hyperedges:
      (none)
  Member "oink an implementation and evaluation of modern parity game solvers":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a universal attractor decomposition algorithm for parity games")
  Member "a parity game tale of two counters":
    also connected through other hyperedges:
      (none)
  Member "attracting tangles to solve parity games":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a parity game tale of two counters")
  Member "succinct progress measures for solving parity games":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a universal attractor decomposition algorithm for parity games")
  Member "benchmarks for parity games":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "oink an implementation and evaluation of modern parity game solvers")
  Member "the fixpoint iteration algorithm for parity games":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "computing nested fixpoints in quasipolynomial time")

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)