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 "the parameterized space complexity of model checking bounded variable first order logic"):
  Abstract: The parameterized model-checking problem for a class of first-order sentences (queries) asks to decide whether a given sentence from the class holds true in a given relational structure (database); the parameter is the length of the sentence. In 1995 Vardi observed a polynomial time algorithm deciding the model-checking problem for queries with a bounded number of variables. We study its parameterized space complexity. For each bound on the quantifier alternation rank the problem becomes complete for the corresponding level of what we call the tree hierarchy, a hierarchy of parameterized complexity classes defined via space bounded alternating machines between parameterized logarithmic space and fixed-parameter tractable time. We observe that a parameterized logarithmic space model-checker for existential bounded variable queries would allow to improve Savitch's classical simulation of nondeterministic logarithmic space in deterministic space $O(\log^2)$. Further, we define a highly space efficient model-checker for queries with a bounded number of variables and bounded quantifier alternation rank. We study its optimality under the assumption that Savitch's theorem is optimal.

Includes members:
  Member "computing hitting set kernels by ac 0 circuits":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "optimal size problem kernels for d hitting set in linear time and space")
  Member "fast parallel fixed parameter algorithms via color coding":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "dynamic complexity meets parameterised algorithms")
  Member "one hierarchy spawns another graph deconstructions and the complexity classification of conjunctive queries":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "polynomial kernels for hitting forbidden minors under structural parameterizations")
  Member "deciding first order properties of nowhere dense graphs":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "hitting topological minors is fpt")
  Member "on the complexity of existential positive queries":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "when is ontology mediated querying efficient")
  Member "bounds on monotone switching networks for directed connectivity":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "nullstellensatz size degree trade offs from reversible pebbling")
  Member "fixed parameter tractability definability and model checking":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "nowhere dense graph classes and algorithmic applications a tutorial at highlights of logic games and automata 2019")

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)