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: "spector bar recursion over finite partial functions"
  Abstract: We introduce a new, demand-driven variant of Spector's bar recursion in the spirit of the Berardi-Bezem-Coquand functional. The recursion takes place over finite partial functions $u$, where the control parameter $\varphi$, used in Spector's bar recursion to terminate the computation at sequences $s$ satisfying $\varphi(\hat{s})<|s|$, now acts as a guide for deciding exactly where to make bar recursive updates, terminating the computation whenever $\varphi(\hat{u})\in\mbox{dom}(u)$. We begin by exploring theoretical aspects of this new form of recursion, then in the main part of the paper we show that demand-driven bar recursion can be directly used to give an alternative functional interpretation of classical countable choice. We provide a short case study as an illustration, in which we extract a new bar recursive program from the proof that there is no injection from $\mathbb{N}\to\mathbb{N}$ to $\mathbb{N}$, and compare this to the program that would be obtained using Spector's original variant. We conclude by formally establishing that our new bar recursor is primitive recursively equivalent to the original Spector bar recursion, and thus defines the same class of functionals when added to G\"odel's system $\sf T$.

Connected through hyperedge HE-1 (induced by source paper "an algorithmic approach to the existence of ideal objects in commutative algebra"):
  with members:
    - "extension by conservation sikorski s theorem"
    - "sequential algorithms and the computational content of classical proofs"
    - "extracting verified decision procedures dpll and resolution"
    - "induction in algebra a first case study"
    - "interactive learning based realizability for heyting arithmetic with em1"

Connected through hyperedge HE-2 (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"
    - "applying godel s dialectica interpretation to obtain a constructive proof of higman s lemma"
    - "existential witness extraction in classical realizability and via a negative translation"
    - "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)