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 "a proof procedure for hybrid logic with binders transitivity and relation hierarchies extended version"):
  Abstract: In previous works, a tableau calculus has been defined, which constitutes a decision procedure for hybrid logic with the converse and global modalities and a restricted use of the binder. This work shows how to extend such a calculus to multi-modal logic enriched with features largely used in description logics: transitivity and relation inclusion assertions. #R##N#The separate addition of either transitive relations or relation hierarchies to the considered decidable fragment of multi-modal hybrid logic can easily be shown to stay decidable, by resorting to results already proved in the literature. However, such results do not directly allow for concluding whether the logic including both features is still decidable. The existence of a terminating, sound and complete calculus for the considered logic proves that the addition of transitive relations and relation hierarchies to such an expressive decidable fragment of hybrid logic does not endanger decidability. #R##N#A further result proved in this work is that the logic extending the considered fragment with the addition of graded modalities (the modal counterpart of number restrictions of description logics) has an undecidable satisfiability problem, unless further syntactical restrictions are placed on the universal graded modality.

Includes members:
  Member "terminating tableaux for graded hybrid logic with global modalities and role hierarchies":
    also connected through other hyperedges:
      (none)
  Member "complexity of hybrid logics over transitive frames":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of satisfiability for fragments of hybrid logic part i")

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)