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: "realizability algebras a program to well order r"
  Abstract: The theory of classical realizability is a framework in which we can develop#N#the proof-program correspondence. Using this framework, we show how to#N#transform into programs the proofs in classical analysis with dependent choice#N#and the existence of a well ordering of the real line. The principal tools are:#N#The notion of realizability algebra, which is a three-sorted variant of the#N#well known combinatory algebra of Curry. An adaptation of the method of forcing#N#used in set theory to prove consistency results. Here, it is used in another#N#way, to obtain programs associated with a well ordering of R and the existence#N#of a non trivial ultrafilter on N.

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"
    - "existential witness extraction in classical realizability and via a negative translation"

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"
    - "existential witness extraction in classical realizability and via a negative translation"

Connected through hyperedge HE-3 (induced by source paper "mechanization of separation in generic extensions"):
  with members:
    - "first steps towards a formalization of forcing"

Connected through hyperedge HE-4 (induced by source paper "classical realizability as a classifier for nondeterminism"):
  with members:
    - "realizability algebras iii some examples"
    - "on the structure of classical realizability models of zf"

Connected through hyperedge HE-5 (induced by source paper "realizability algebras iii some examples"):
  with members:
    - "essential convexity and complexity of semi algebraic constraints"

Connected through hyperedge HE-6 (induced by source paper "bar recursion in classical realisability dependent choice and continuum hypothesis"):
  with members:
    - "realizability algebras iii some examples"
    - "on the structure of classical realizability models of zf"

Connected through hyperedge HE-7 (induced by source paper "on the structure of classical realizability models of zf"):
  with members:
    - "realizability algebras iii some examples"
    - "bar recursion in classical realisability dependent choice and well ordering of r"

Connected through hyperedge HE-8 (induced by source paper "bar recursion in classical realisability dependent choice and well ordering of r"):
  with members:
    - "realizability algebras iii some examples"
    - "on the structure of classical realizability models of zf"

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)