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 "on the complexity of the quantified bit vector arithmetic with binary encoding"):
  Abstract: We study the precise computational complexity of deciding#N#satisfiability of first-order quantified formulas over the#N#theory of fixed-size bit-vectors with binary-encoded bit-widths#N#and constants. This problem is known to be in EXPSPACE and to#N#be NEXPTIME-hard. We show that this problem is complete for the#N#complexity class AEXP(poly) – the class of problems decidable#N#by an alternating Turing machine using exponential time, but#N#only a polynomial number of alternations between existential#N#and universal states.

Includes members:
  Member "on quantified propositional logics and the exponential time hierarchy":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the succinctness of atoms of dependency")
  Member "complete problems of propositional logic for the exponential hierarchy":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "validity and entailment in modal and propositional dependence logics")

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)