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 "on the monniaux problem in abstract interpretation"):
  Abstract: The Monniaux Problem in abstract interpretation asks, roughly speaking, whether the following question is decidable: given a program $P$, a safety (\emph{e.g.}, non-reachability) specification $\varphi$, and an abstract domain of invariants $\mathcal{D}$, does there exist an inductive invariant $I$ in $\mathcal{D}$ guaranteeing that program $P$ meets its specification $\varphi$. The Monniaux Problem is of course parameterised by the classes of programs and invariant domains that one considers. In this paper, we show that the Monniaux Problem is undecidable for unguarded affine programs and semilinear invariants (unions of polyhedra). Moreover, we show that decidability is recovered in the important special case of simple linear loops.

Includes members:
  Member "o minimal invariants for linear loops":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "polynomial invariants for affine programs")
  Member "polynomial invariants for affine programs":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "tight polynomial worst case bounds for loop programs")
  Member "on the decidability of the existence of polyhedral invariants in transition systems":
    also connected through other hyperedges:
      (none)
  Member "semialgebraic invariant synthesis for the kannan lipton orbit problem":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "polynomial invariants for affine programs")
  Member "ultimate positivity is decidable for simple linear recurrence sequences":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "pumping lemmas for weighted automata")
  Member "the octagon abstract domain":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "reludiff differential verification of deep neural networks")

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)