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: "a qualitative comparison of the suitability of four theorem provers for basic auction theory"
  Abstract: Novel auction schemes are constantly being designed. Their design has significant consequences for the allocation of goods and the revenues generated. But how to tell whether a new design has the desired properties, such as efficiency, i.e. allocating goods to those bidders who value them most? We say: by formal, machine-checked proofs. We investigated the suitability of the Isabelle, Theorema, Mizar, and Hets/CASL/TPTP theorem provers for reproducing a key result of auction theory: Vickrey's 1961 theorem on the properties of second-price auctions. Based on our formalisation experience, taking an auction designer's perspective, we give recommendations on what system to use for formalising auctions, and outline further steps towards a complete auction theory toolbox.

Connected through hyperedge HE-1 (induced by source paper "formal verification of trading in financial markets"):
  with members:
    - "maximizing matching in double sided auctions"
    - "a formally verified compiler back end"

Connected through hyperedge HE-2 (induced by source paper "an introduction to mechanized reasoning"):
  with members:
    - "automated reasoning in social choice theory some remarks"
    - "enabling automatic certification of online auctions"
    - "automated search for impossibility theorems in social choice theory ranking sets of objects"

Connected through hyperedge HE-3 (induced by source paper "set theory or higher order logic to represent auction concepts in isabelle"):
  with members:
    - "proving soundness of combinatorial vickrey auctions and generating verified executable code"
    - "the formare project formal mathematical reasoning in economics"
    - "defining functions on equivalence classes"
    - "set theory for verification i from foundations to functions"

Connected through hyperedge HE-4 (induced by source paper "recycling proof patterns in coq case studies"):
  with members:
    - "ml4pg in computer algebra verification"
    - "statistical proof pattern recognition automated or interactive"
    - "proof pattern recognition and lemma discovery in acl2"
    - "decidable classes of tree automata mixing local and global constraints modulo flat theories"
    - "machine learning in proof general interfacing interfaces"
    - "computing persistent homology within coq ssreflect"
    - "learning assisted automated reasoning with flyspeck"
    - "type classes for efficient exact real arithmetic in coq"

Connected through hyperedge HE-5 (induced by source paper "the formare project formal mathematical reasoning in economics"):
  with members:
    - "the planetary project towards emath3 0"
    - "automated search for impossibility theorems in social choice theory ranking sets of objects"

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)