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 sets of real numbers recognized by finite automata in multiple bases"):
  Abstract: This article studies the expressive power of finite automata recognizing sets#N#of real numbers encoded in positional notation. We consider Muller automata as#N#well as the restricted class of weak deterministic automata, used as symbolic#N#set representations in actual applications. In previous work, it has been#N#established that the sets of numbers that are recognizable by weak#N#deterministic automata in two bases that do not share the same set of prime#N#factors are exactly those that are definable in the first order additive theory#N#of real and integer numbers. This result extends Cobham's theorem, which#N#characterizes the sets of integer numbers that are recognizable by finite#N#automata in multiple bases.#N#  In this article, we first generalize this result to multiplicatively#N#independent bases, which brings it closer to the original statement of Cobham's#N#theorem. Then, we study the sets of reals recognizable by Muller automata in#N#two bases. We show with a counterexample that, in this setting, Cobham's#N#theorem does not generalize to multiplicatively independent bases. Finally, we#N#prove that the sets of reals that are recognizable by Muller automata in two#N#bases that do not share the same set of prime factors are exactly those#N#definable in the first order additive theory of real and integer numbers. These#N#sets are thus also recognizable by weak deterministic automata. This result#N#leads to a precise characterization of the sets of real numbers that are#N#recognizable in multiple bases, and provides a theoretical justification to the#N#use of weak automata as symbolic representations of sets.

Includes members:
  Member "decomposition of decidable first order logics over integers and reals":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "theories of real addition with and without a predicate for integers")
  Member "the parma polyhedra library toward a complete set of numerical abstractions for the analysis and verification of hardware and software systems":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the deep learning compiler a comprehensive survey")
  Member "bounds on the automata size for presburger arithmetic":
    also connected through other hyperedges:
      (none)

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)