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 "bar recursion in classical realisability dependent choice and continuum hypothesis"):
  Abstract: This paper is about the bar recursion operator in the context of classical realizability. The pioneering work of Berardi, Bezem, Coquand was enhanced by Berger and Oliva. Then Streicher has shown, by means of their bar recursion operator, that the realizability models of ZF, obtained from usual models of lambda-calculus (Scott domains, coherent spaces, ...), satisfy the axiom of dependent choice. We give a proof of this result, using the tools of classical realizability. Moreover, we show that these realizability models satisfy the well ordering of R and the continuum hypothesis. These formulas are therefore realized by closed lambda_c-terms. This new result allows to obtain programs from proofs of arithmetical formulas using all these axioms.

Includes members:
  Member "realizability algebras iii some examples":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a constructive proof of dependent choice in classical arithmetic via memoization")
  Member "on the structure of classical realizability models of zf":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "revisiting the duality of computation an algebraic analysis of classical realizability models")
  Member "realizability algebras a program to well order r":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "a constructive proof of dependent choice in classical arithmetic via memoization")

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)