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 "affine extensions of integer vector addition systems with states"):
  Abstract: We study the reachability problem for affine $\mathbb{Z}$-VASS, which are integer vector addition systems with states in which transitions perform affine transformations on the counters. This problem is easily seen to be undecidable in general, and we therefore restrict ourselves to affine $\mathbb{Z}$-VASS with the finite-monoid property (afmp-$\mathbb{Z}$-VASS). The latter have the property that the monoid generated by the matrices appearing in their affine transformations is finite. The class of afmp-$\mathbb{Z}$-VASS encompasses classical operations of counter machines such as resets, permutations, transfers and copies. We show that reachability in an afmp-$\mathbb{Z}$-VASS reduces to reachability in a $\mathbb{Z}$-VASS whose control-states grow linearly in the size of the matrix monoid. Our construction shows that reachability relations of afmp-$\mathbb{Z}$-VASS are semilinear, and in particular enables us to show that reachability in $\mathbb{Z}$-VASS with transfers and $\mathbb{Z}$-VASS with copies is PSPACE-complete. We then focus on the reachability problem for affine $\mathbb{Z}$-VASS with monogenic monoids: (possibly infinite) matrix monoids generated by a single matrix. We show that, in a particular case, the reachability problem is decidable for this class, disproving a conjecture about affine $\mathbb{Z}$-VASS with infinite matrix monoids we raised in a preliminary version of this paper. We complement this result by presenting an affine $\mathbb{Z}$-VASS with monogenic matrix monoid and undecidable reachability relation.

Includes members:
  Member "the reachability problem for petri nets is not elementary":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "how hard is it to verify flat affine counter systems with the finite monoid property":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of reachability in affine vector addition systems with states")
  Member "reachability in two dimensional vector addition systems with states is pspace complete":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "integer vector addition systems with states":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "on affine reachability problems")
  Member "regular combinators for string transformations":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a survey on string constraint solving")
  Member "decision problems for additive regular functions":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "pumping lemmas for weighted automata")
  Member "ackermannian and primitive recursive bounds with dickson s lemma":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "complexity of controlled bad sequences over finite sets of mathbb n d")
  Member "bounded parikh automata":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "characterization and complexity results on jumping finite automata")

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)