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 "realizability interpretation and normalization of typed call by need lambda calculus with control"):
  Abstract: We define a variant of realizability where realizers are pairs of a term and a substitution. This variant allows us to prove the normalization of a simply-typed call-by-need $$\lambda$-$calculus with control due to Ariola et al. Indeed, in such call-by-need calculus, substitutions have to be delayed until knowing if an argument is really needed. In a second step, we extend the proof to a call-by-need $$\lambda$$-calculus equipped with a type system equivalent to classical second-order predicate logic, representing one step towards proving the normalization of the call-by-need classical second-order arithmetic introduced by the second author to provide a proof-as-program interpretation of the axiom of dependent choice.

Includes members:
  Member "a classical realizability model for a semantical value restriction":
    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 "classical realizability and arithmetical formul ae":
    also connected through other hyperedges:
      (none)
  Member "the call by need lambda calculus revisited":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "types by need extended version")
  Member "existential witness extraction in classical realizability and via a negative translation":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "a constructive proof of dependent choice in classical arithmetic via memoization")
  Member "lazy evaluation and delimited control":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "types by need extended version")

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)