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: "weak mso u with path quantifiers over infinite trees"
  Abstract: This paper shows that over infinite trees, satisfiability is decidable for weak monadic second-order logic extended by the unbounding quantifier U and quantification over infinite paths. The proof is by reduction to emptiness for a certain automaton model, while emptiness for the automaton model is decided using profinite trees.

Connected through hyperedge HE-1 (induced by source paper "recursion schemes the mso logic and the u quantifier"):
  with members:
    - "the diagonal problem for higher order recursion schemes is decidable"
    - "unboundedness and downward closures of higher order pushdown automata"
    - "ordered tree pushdown systems"
    - "an approach to computing downward closures"
    - "using models to model check recursive schemes"
    - "io vs oi in higher order recursion schemes"
    - "weak mso with the unbounding quantifier"

Connected through hyperedge HE-2 (induced by source paper "parameterized linear temporal logics meet costs still not costlier than ltl"):
  with members:
    - "approximating optimal bounds in prompt ltl realizability in doubly exponential time"
    - "visibly linear dynamic logic"
    - "parametric linear dynamic logic full version"
    - "parameterized linear temporal logics meet costs still not costlier than ltl full version"
    - "parametric linear dynamic logic"
    - "efficient controller synthesis for consumption games with multiple resource types"
    - "parity and streett games with costs"
    - "optimal bounds in parametric ltl games"

Connected through hyperedge HE-3 (induced by source paper "delay games with wmso u winning conditions"):
  with members:
    - "how much lookahead is needed to win infinite games"
    - "the mso u theory of n is undecidable"
    - "what are strategies in delay games borel determinacy for games with lookahead"
    - "proceedings fifth international symposium on games automata logics and formal verification"
    - "synthesis of deterministic top down tree transducers from automatic tree relations"
    - "parametric linear dynamic logic"
    - "parity and streett games with costs"
    - "degrees of lookahead in regular infinite games"

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)