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 "proof nets through the lens of graph theory a compilation of remarks"):
  Abstract: This document is intended to eventually gather a few small remarks on the theory of proof nets and correctness criteria that I have never published. For now the only written part is about Retore's pomset logic.

Includes members:
  Member "constrained path finding and structure from acyclicity":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "unique perfect matchings forbidden transitions and proof nets for linear logic with mix")
  Member "on noncommutative extensions of linear logic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "pomset logic a logical and grammatical alternative to the lambek calculus")
  Member "a system of interaction and structure ii the need for 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")

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)