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 "modal logics with hard diamond free fragments"):
  Abstract: We investigate the complexity of modal satisfiability for certain combinations of modal logics. In particular we examine four examples of multimodal logics with dependencies and demonstrate that even if we restrict our inputs to diamond-free formulas (in negation normal form), these logics still have a high complexity. This result illustrates that having D as one or more of the combined logics, as well as the interdependencies among logics can be important sources of complexity even in the absence of diamonds and even when at the same time in our formulas we allow only one propositional variable. We then further investigate and characterize the complexity of the diamond-free, 1-variable fragments of multimodal logics in a general setting.

Includes members:
  Member "does treewidth help in modal satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "ltl fragments are hard for standard parameterisations")
  Member "parameterized modal satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "does treewidth help in modal satisfiability")
  Member "generalized modal satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "quirky quantifiers optimal models and complexity of computation tree logic")
  Member "characterizing the np pspace gap in the satisfiability problem for modal logic":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "does treewidth help in modal satisfiability")
  Member "deciding regular grammar logics with converse through first order logic":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on the complexity of graded modal logics with converse")
  Member "the complexity of poor man s logic":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "complexity and expressivity of branching and alternating time temporal logics with finitely many variables")

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)