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 constructive proof of dependent choice in classical arithmetic via memoization"):
  Abstract: In a recent paper, Herbelin developed dPA${^\omega}$, a calculus in which constructive proofs for the axioms of countable and dependent choices could be derived via the memoization of choice functions. However, the property of normalization (and therefore the one of soundness) was only conjectured. The difficulty for the proof of normalization is due to the simultaneous presence of dependent types (for the constructive part of the choice), of control operators (for classical logic), of coinductive objects (to encode functions of type ${\mathbb{N} \to A}$ into streams (${a_0},{a_1},...$)) and of lazy evaluation with sharing (for memoizing these coinductive objects). Elaborating on previous works, we introduce in this paper a variant of dPA${^\omega}$ presented as a sequent calculus. On the one hand, we take advantage of a variant of Krivine classical realizability that we developed to prove the normalization of classical call-by-need. On the other hand, we benefit from dL${_{\hat{tp}}}$, a classical sequent calculus with dependent types in which type safety is ensured by using delimited continuations together with a syntactic restriction. By combining the techniques developed in these papers, we manage to define a realizability interpretation a la Krivine of our calculus that allows us to prove normalization and soundness. This paper goes over the whole process, starting from Herbelin's calculus dPA${^\omega}$ until our introduction of its sequent calculus counterpart dLPA${^\omega}$.

Includes members:
  Member "a sequent calculus with dependent types for classical arithmetic":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "revisiting the duality of computation an algebraic analysis of classical realizability models")
  Member "an interpretation of system f through bar recursion":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a sequent calculus with dependent types for classical arithmetic")
  Member "classical realizability as a classifier for nondeterminism":
    also connected through other hyperedges:
      (none)
  Member "realizability algebras iii some examples":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "classical realizability as a classifier for nondeterminism")
  Member "bar recursion in classical realisability dependent choice and continuum hypothesis":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "revisiting the duality of computation an algebraic analysis of classical realizability models")
  Member "a classical realizability model for a semantical value restriction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "pml 2 integrated program verification in ml")
  Member "bar recursion and products of selection functions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "a computational interpretation of zorn s lemma")
  Member "realizability algebras a program to well order r":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "revisiting the duality of computation an algebraic analysis of classical realizability models")

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)