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 "global numerical constraints on trees"):
  Abstract: We introduce a logical foundation to reason on tree structures with#N#constraints on the number of node occurrences. Related formalisms are limited#N#to express occurrence constraints on particular tree regions, as for instance#N#the children of a given node. By contrast, the logic introduced in the present#N#work can concisely express numerical bounds on any region, descendants or#N#ancestors for instance. We prove that the logic is decidable in single#N#exponential time even if the numerical constraints are in binary form. We also#N#illustrate the usage of the logic in the description of numerical constraints#N#on multi-directional path queries on XML documents. Furthermore, numerical#N#restrictions on regular languages (XML schemas) can also be concisely described#N#by the logic. This implies a characterization of decidable counting extensions#N#of XPath queries and XML schemas. Moreover, as the logic is closed under#N#negation, it can thus be used as an optimal reasoning framework for testing#N#emptiness, containment and equivalence.

Includes members:
  Member "node selection query languages for trees":
    also connected through other hyperedges:
      (none)
  Member "decidable classes of tree automata mixing local and global constraints modulo flat theories":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the hardness of almost sure termination")
  Member "enriched mu calculi module checking":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on the complexity of atl and atl module checking")

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)