human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "the fixpoint iteration algorithm for parity games"
  Abstract: It is known that the model checking problem for the modal mu-calculus reduces to the problem of solving a parity game and vice-versa. The latter is realised by the Walukiewicz formulas which are satisfied by a node in a parity game iff player 0 wins the game from this node. Thus, they define her winning region, and any model checking algorithm for the modal mu-calculus, suitably specialised to the Walukiewicz formulas, yields an algorithm for solving parity games. In this paper we study the effect of employing the most straight-forward mu-calculus model checking algorithm: fixpoint iteration. This is also one of the few algorithms, if not the only one, that were not originally devised for parity game solving already. While an empirical study quickly shows that this does not yield an algorithm that works well in practice, it is interesting from a theoretical point for two reasons: first, it is exponential on virtually all families of games that were designed as lower bounds for very particular algorithms suggesting that fixpoint iteration is connected to all those. Second, fixpoint iteration does not compute positional winning strategies. Note that the Walukiewicz formulas only define winning regions; some additional work is needed in order to make this algorithm compute winning strategies. We show that these are particular exponential-space strategies which we call eventually-positional, and we show how positional ones can be extracted from them.

Connected through hyperedge HE-1 (induced by source paper "simple fixpoint iteration to solve parity games"):
  with members:
    - "solving parity games using an automata based algorithm"
    - "a comparison of bdd based parity game solvers"
    - "oink an implementation and evaluation of modern parity game solvers"
    - "a parity game tale of two counters"
    - "attracting tangles to solve parity games"
    - "succinct progress measures for solving parity games"
    - "benchmarks for parity games"

Connected through hyperedge HE-2 (induced by source paper "computing nested fixpoints in quasipolynomial time"):
  with members:
    - "parity games zielonka s algorithm in quasi polynomial time"
    - "universal trees grow inside separating automata quasi polynomial lower bounds for parity games"
    - "succinct progress measures for solving parity games"
    - "monadic second order logic and bisimulation invariance for coalgebras"
    - "exptime tableaux for the coalgebraic mu calculus"
    - "completeness of flat coalgebraic fixpoint logics"

Connected through hyperedge HE-3 (induced by source paper "a parity game tale of two counters"):
  with members:
    - "simple fixpoint iteration to solve parity games"
    - "solving parity games using an automata based algorithm"
    - "parity games zielonka s algorithm in quasi polynomial time"
    - "oink an implementation and evaluation of modern parity game solvers"
    - "attracting tangles to solve parity games"
    - "robust exponential worst cases for divide et impera algorithms for parity games"
    - "efficient parallel strategy improvement for parity games"
    - "succinct progress measures for solving parity games"

Connected through hyperedge HE-4 (induced by source paper "quasipolynomial set based symbolic algorithms for parity games"):
  with members:
    - "solving parity games using an automata based algorithm"
    - "oink an implementation and evaluation of modern parity game solvers"
    - "lower bounds for symbolic computation on graphs strongly connected components liveness safety and diameter"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "winning cores in parity games"
    - "improved algorithms for one pair and k pair streett objectives"
    - "generating and solving symbolic parity games"

Connected through hyperedge HE-5 (induced by source paper "a comparison of bdd based parity game solvers"):
  with members:
    - "solving parity games using an automata based algorithm"
    - "oink an implementation and evaluation of modern parity game solvers"
    - "an ordered approach to solving parity games in quasi polynomial time and quasi linear space"
    - "succinct progress measures for solving parity games"
    - "a delayed promotion policy for parity games"
    - "benchmarks for parity games"
    - "zielonka s recursive algorithm dull weak and solitaire games and tighter bounds"
    - "alpaga a tool for solving parity games with imperfect information"

Connected through hyperedge HE-6 (induced by source paper "permutation games for the weakly aconjunctive mu calculus"):
  with members:
    - "buchi determinization made tighter"
    - "determinising parity automata"
    - "exptime tableaux for the coalgebraic mu calculus"

Question: Please tell me which class the center node 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)