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 "system k a simple modal lambda calculus"):
  Abstract: We introduce System K, a modal {\lambda}-calculus, which - under the Curry-Howard isomorphism - corresponds to a constructive variant of the logic K, the weakest normal modal logic. We investigate its metatheory and its categorical semantics. Finally, we propound some ideas regarding its computational interpretation.

Includes members:
  Member "the guarded lambda calculus programming and reasoning with guarded recursion for coinductive types":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "diamonds are not forever liveness in reactive programming with guarded recursion")
  Member "dual context calculi for modal logic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "understanding the expressive power of unhygienic substitution in metaprogramming via combinatory logic")
  Member "the many worlds of modal λ calculi i curry howard for necessity possibility and time":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "modality via iterated enrichment")
  Member "calculi for intuitionistic normal modal logic":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "modality via iterated enrichment")

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)