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 "scalar and vectorial mu calculus with atoms"):
  Abstract: We study an extension of modal mu-calculus to sets with atoms and we study its basic properties. Model checking is decidable on orbit-finite structures, and a correspondence to parity games holds. On the other hand, satisfiability becomes undecidable. We also show expressive limitations of atom-enriched mu-calculi, and explain how their expressive power depends on the structure of atoms used, and on the choice between basic or vectorial syntax.

Includes members:
  Member "modal logics for nominal transition systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "rule formats for nominal process calculi")
  Member "reasoning about data repetitions with counter systems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "reachability in fixed dimension vector addition systems with states")
  Member "smt solving for functional programming over infinite structures":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "beyond sets with atoms definability in first order logic")
  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 "alternating register automata on finite words and trees":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "complexity results on register pushdown automata")
  Member "alternating automata on data trees and xpath satisfiability":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "complexity of controlled bad sequences over finite sets of mathbb n d")
  Member "ltl with the freeze quantifier and register automata":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "on computability of data word functions defined by transducers")
  Member "on the freeze quantifier in constraint ltl decidability and complexity":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "modular path queries with arithmetic")

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)