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 tractability of model checking for ltl the good the bad and the ugly fragments"
  Abstract: In a seminal paper from 1985, Sistla and Clarke showed that the model-checking problem for Linear Temporal Logic (LTL) is either NP-complete or PSPACE-complete, depending on the set of temporal operators used. If, in contrast, the set of propositional operators is restricted, the complexity may decrease. This paper systematically studies the model-checking problem for LTL formulae over restricted sets of propositional and temporal operators. For almost all combinations of temporal and propositional operators, we determine whether the model-checking problem is tractable (in P) or intractable (NP-hard). We then focus on the tractable cases, showing that they all are NL-complete or even logspace solvable. This leads to a surprising gap in complexity between tractable and intractable cases. It is worth noting that our analysis covers an infinite set of problems, since there are infinitely many sets of propositional operators.

Connected through hyperedge HE-1 (induced by source paper "parameterised complexity of abduction in schaefer s framework"):
  with members:
    - "parameterised complexity for abduction"
    - "analysis of boolean functions"
    - "parameterized exact and approximation algorithms for maximum k set cover and related satisfiability problems"
    - "paradigms for parameterized enumeration"
    - "generalized satisfiability for the description logic alc"
    - "the complexity of satisfiability for fragments of hybrid logic part i"
    - "complexity classifications for propositional abduction in post s framework"
    - "complexity of propositional abduction for restricted sets of boolean functions"

Connected through hyperedge HE-2 (induced by source paper "ltl fragments are hard for standard parameterisations"):
  with members:
    - "parameterized complexity of ctl a generalization of courcelle s theorem"
    - "does treewidth help in modal satisfiability"
    - "a fixed parameter algorithm for sat with parameter incidence treewidth"

Connected through hyperedge HE-3 (induced by source paper "the model checking fingerprints of ctl operators"):
  with members:
    - "a focused sequent calculus framework for proof search in pure type systems"
    - "model checking ctl is almost always inherently sequential"
    - "the complexity of generalized satisfiability for linear temporal logic"

Connected through hyperedge HE-4 (induced by source paper "model checking for modal dependence logic an approach through post s lattice"):
  with members:
    - "complexity results for modal dependence logic"
    - "complexity of model checking for modal dependence logic"
    - "on the applicability of post s lattice"
    - "generalized modal satisfiability"

Connected through hyperedge HE-5 (induced by source paper "on the applicability of post s lattice"):
  with members:
    - "the complexity of satisfiability for fragments of hybrid logic part i"
    - "the complexity of reasoning for fragments of autoepistemic logic"
    - "the complexity of propositional implication"
    - "the complexity of reasoning for fragments of default logic"
    - "generalized modal satisfiability"
    - "the complexity of generalized satisfiability for linear temporal logic"

Connected through hyperedge HE-6 (induced by source paper "the complexity of satisfiability for fragments of hybrid logic part i"):
  with members:
    - "the complexity of generalized satisfiability for linear temporal logic"
    - "complexity of hybrid logics over transitive frames"
    - "hybrid branching time logics"
    - "the complexity of poor man s logic"

Connected through hyperedge HE-7 (induced by source paper "the complexity of reasoning for fragments of autoepistemic logic"):
  with members:
    - "complexity of propositional abduction for restricted sets of boolean functions"
    - "the complexity of propositional implication"
    - "the complexity of reasoning for fragments of default logic"

Connected through hyperedge HE-8 (induced by source paper "generalized modal satisfiability"):
  with members:
    - "pspace bounds for rank 1 modal logics"
    - "the complexity of generalized satisfiability for linear temporal logic"
    - "on the complexity of elementary modal logics"
    - "the complexity of poor man s logic"

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)