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 "linear combinations of unordered data vectors"):
  Abstract: Data vectors generalise finite multisets: they are finitely supported functions into a commutative monoid. We study the question if a given data vector can be expressed as a finite sum of others, only assuming that 1) the domain is countable and 2) the given set of base vectors is finite up to permutations of the domain. #R##N#Based on a succinct representation of the involved permutations as integer linear constraints, we derive that positive instances can be witnessed in a bounded subset of the domain. #R##N#For data vectors over a group we moreover study when a data vector is reversible, that is, if its inverse is expressible using only nonnegative coefficients. We show that if all base vectors are reversible then the expressibility problem reduces to checking membership in finitely generated subgroups. Moreover, checking reversibility also reduces to such membership tests. #R##N#These questions naturally appear in the analysis of counter machines extended with unordered data: namely, for data vectors over $(\mathbb{Z}^d,+)$ expressibility directly corresponds to checking state equations for Coloured Petri nets where tokens can only be tested for equality. We derive that in this case, expressibility is in NP, and in P for reversible instances. These upper bounds are tight: they match the lower bounds for standard integer vectors (over singleton domains).

Includes members:
  Member "model checking flat freeze ltl on one counter automata":
    also connected through other hyperedges:
      (none)
  Member "approaching the coverability problem continuously":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "loop summarization with rational vector addition systems extended version")
  Member "homogeneous equations of algebraic petri nets":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "from db nets to coloured petri nets with priorities extended version")
  Member "demystifying reachability in vector addition systems":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")
  Member "automata theory in nominal sets":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "beyond sets with atoms definability in first order logic")
  Member "integer vector addition systems with states":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "on affine reachability problems")
  Member "the power of well structured systems":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "the ideal approach to computing closed subsets in well quasi orderings")

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)