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: "induction in algebra a first case study"
  Abstract: Many a concrete theorem of abstract algebra admits a short and elegant proof#N#by contradiction but with Zorn's Lemma (ZL). A few of these theorems have#N#recently turned out to follow in a direct and elementary way from the Principle#N#of Open Induction distinguished by Raoult. The ideal objects characteristic of#N#any invocation of ZL are eliminated, and it is made possible to pass from#N#classical to intuitionistic logic. If the theorem has finite input data, then a#N#finite partial order carries the required instance of induction, which thus is#N#constructively provable. A typical example is the well-known theorem "every#N#nonconstant coefficient of an invertible polynomial is nilpotent".

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"
    - "spector bar recursion over finite partial functions"
    - "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)