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 "finitely generated free heyting algebras via birkhoff duality and coalgebra"):
  Abstract: Algebras axiomatized entirely by rank 1 axioms are algebras for a functor and#N#thus the free algebras can be obtained by a direct limit process. Dually, the#N#final coalgebras can be obtained by an inverse limit process. In order to#N#explore the limits of this method we look at Heyting algebras which have mixed#N#rank 0-1 axiomatizations. We will see that Heyting algebras are special in that#N#they are almost rank 1 axiomatized and can be handled by a slight variant of#N#the rank 1 coalgebraic methods.

Includes members:
  Member "a cook s tour of the finitary non well founded sets":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a ghost at ω 1")
  Member "pspace bounds for rank 1 modal logics":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "optimal satisfiability checking for arithmetic mu calculi")

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)