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 "logic meets algebra the case of regular languages"):
  Abstract: The study of finite automata and regular languages is a privileged meeting#N#point of algebra and logic. Since the work of Buchi, regular languages have#N#been classified according to their descriptive complexity, i.e. the type of#N#logical formalism required to define them. The algebraic point of view on#N#automata is an essential complement of this classification: by providing#N#alternative, algebraic characterizations for the classes, it often yields the#N#only opportunity for the design of algorithms that decide expressibility in#N#some logical fragment.#N#  We survey the existing results relating the expressibility of regular#N#languages in logical fragments of MSO[S] with algebraic properties of their#N#minimal automata. In particular, we show that many of the best known results in#N#this area share the same underlying mechanics and rely on a very strong#N#relation between logical substitutions and block-products of pseudovarieties of#N#monoid. We also explain the impact of these connections on circuit complexity#N#theory.

Includes members:
  Member "algebraic recognizability of languages":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on varieties of automata enriched with an algebraic structure extended abstract")
  Member "algebraic recognizability of regular tree languages":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "wreath products of forest algebras with applications to tree logics")
  Member "arithmetic first order logic and counting quantifiers":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "reasoning about social choice and games in monadic fixed point logic")
  Member "the descriptive complexity approach to logcfl":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "non definability of languages by generalized first order formulas over n")

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)