human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "existential witness extraction in classical realizability and via a negative translation"
  Abstract: We show how to extract existential witnesses from classical proofs using Krivine's classical realizability--where classical proofs are interpreted as lambda_c-terms with the call/cc control operator. We first recall the basic framework of classical realizability (in classical second-order arithmetic) and show how to extend it with primitive numerals for faster computations. Then we show how to perform witness extraction in this framework, by discussing several techniques depending on the shape of the existential formula. In particular, we show that in the Sigma^0_1-case, Krivine's witness extraction method reduces to Friedman's through a well-suited negative translation to intuitionistic second-order arithmetic. Finally we discuss the advantages of using call/cc rather than a negative translation, especially from the point of view of an implementation.

Connected through hyperedge HE-1 (induced by source paper "a constructive proof of dependent choice in classical arithmetic via memoization"):
  with members:
    - "a sequent calculus with dependent types for classical arithmetic"
    - "an interpretation of system f through bar recursion"
    - "classical realizability as a classifier for nondeterminism"
    - "realizability algebras iii some examples"
    - "bar recursion in classical realisability dependent choice and continuum hypothesis"
    - "a classical realizability model for a semantical value restriction"
    - "bar recursion and products of selection functions"
    - "realizability algebras a program to well order r"

Connected through hyperedge HE-2 (induced by source paper "revisiting the duality of computation an algebraic analysis of classical realizability models"):
  with members:
    - "a sequent calculus with dependent types for classical arithmetic"
    - "bar recursion in classical realisability dependent choice and continuum hypothesis"
    - "on the structure of classical realizability models of zf"
    - "realizability algebras a program to well order r"

Connected through hyperedge HE-3 (induced by source paper "computational interpretations of classical reasoning from the epsilon calculus to stateful programs"):
  with members:
    - "extracting verified decision procedures dpll and resolution"
    - "spector bar recursion over finite partial functions"
    - "applying godel s dialectica interpretation to obtain a constructive proof of higman s lemma"
    - "interactive learning based realizability for heyting arithmetic with em1"

Connected through hyperedge HE-4 (induced by source paper "realizability interpretation and normalization of typed call by need lambda calculus with control"):
  with members:
    - "a classical realizability model for a semantical value restriction"
    - "on the structure of classical realizability models of zf"
    - "classical realizability and arithmetical formul ae"
    - "the call by need lambda calculus revisited"
    - "lazy evaluation and delimited control"

Connected through hyperedge HE-5 (induced by source paper "typed realizability for first order classical analysis"):
  with members:
    - "bistable biorders a sequential domain theory"

Connected through hyperedge HE-6 (induced by source paper "knowledge spaces and the completeness of learning strategies"):
  with members:
    - "interactive realizability monads and witness extraction"
    - "non monotonic pre fixed points and learning"
    - "interactive learning based realizability for heyting arithmetic with em1"

Question: Please tell me which class the center node 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)