human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "subatomic proof systems splittable systems"):
  Abstract: This article presents the first in a series of results that allow us to develop a theory providing finer control over the complexity of normalization, and in particular of cut elimination. By considering atoms as self-dual noncommutative connectives, we are able to classify a vast class of inference rules in a uniform and very simple way. This allows us to define simple conditions that are easily verifiable and that ensure normalization and cut elimination by way of a general theorem. In this article, we define and consider splittable systems, which essentially make up a large class of linear logics, including Multiplicative Linear Logic and BV, and we prove for them a splitting theorem, guaranteeing cut elimination and other admissibility results as corollaries. In articles to follow, we will extend this result to nonlinear logics. The final outcome will be a comprehensive theory giving a uniform treatment for most existing logics and providing a blueprint for the design of future proof systems.

Includes members:
  Member "a deep inference system with a self dual binder which is complete for linear lambda calculus":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "interaction and depth against nondeterminism in proof search":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "on the proof complexity of deep inference":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "a system of interaction and structure":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "a system of interaction and structure ii the need for deep inference":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")

Question: Please tell me which class the source paper 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)