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: "build your own clarithmetic i setup and completeness"
  Abstract: Clarithmetics are number theories based on computability logic (see#N#http://www.csc.villanova.edu/~japaridz/CL/ ). Formulas of these theories#N#represent interactive computational problems, and their "truth" is understood#N#as existence of an algorithmic solution. Various complexity constraints on such#N#solutions induce various versions of clarithmetic. The present paper introduces#N#a parameterized/schematic version CLA11(P1,P2,P3,P4). By tuning the three#N#parameters P1,P2,P3 in an essentially mechanical manner, one automatically#N#obtains sound and complete theories with respect to a wide range of target#N#tricomplexity classes, i.e. combinations of time (set by P3), space (set by P2)#N#and so called amplitude (set by P1) complexities. Sound in the sense that every#N#theorem T of the system represents an interactive number-theoretic#N#computational problem with a solution from the given tricomplexity class and,#N#furthermore, such a solution can be automatically extracted from a proof of T.#N#And complete in the sense that every interactive number-theoretic problem with#N#a solution from the given tricomplexity class is represented by some theorem of#N#the system. Furthermore, through tuning the 4th parameter P4, at the cost of#N#sacrificing recursive axiomatizability but not simplicity or elegance, the#N#above extensional completeness can be strengthened to intensional completeness,#N#according to which every formula representing a problem with a solution from#N#the given tricomplexity class is a theorem of the system. This article is#N#published in two parts. The present Part I introduces the system and proves its#N#completeness, while Part II is devoted to proving soundness.

Connected through hyperedge HE-1 (induced by source paper "fundamentals of computability logic"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "elementary base cirquent calculus i parallel and choice connectives"
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "on the system cl12 of computability logic"
    - "a propositional system induced by japaridze s approach to if logic"
    - "expressing algorithms as concise as possible via computability logic"
    - "a cirquent calculus system with clustering and ranking"

Connected through hyperedge HE-2 (induced by source paper "computability logic giving caesar what belongs to caesar"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "introduction to clarithmetic ii"
    - "towards applied theories based on computability logic"
    - "in the beginning was game semantics"
    - "the intuitionistic fragment of computability logic at the propositional level"
    - "intuitionistic computability logic"

Connected through hyperedge HE-3 (induced by source paper "build your own clarithmetic ii soundness"):
  with members:
    - "introduction to clarithmetic ii"
    - "on the system cl12 of computability logic"

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)