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 "a new foundation for finitary corecursion and iterative algebras"):
  Abstract: This paper contributes to a theory of the behaviour of "finite-state" systems that is generic in the system type. We propose that such systems are modeled as coalgebras with a finitely generated carrier for an endofunctor on a locally finitely presentable category. Their behaviour gives rise to a new fixpoint of the coalgebraic type functor called locally finite fixpoint (LFF). We prove that if the given endofunctor preserves monomorphisms then the LFF always exists and is a subcoalgebra of the final coalgebra (unlike the rational fixpoint previously studied by Ad\'amek, Milius, and Velebil). Moreover, we show that the LFF is characterized by two universal properties: (1) as the final locally finitely generated coalgebra, and (2) as the initial fg-iterative algebra. As instances of the LFF we first obtain the known instances of the rational fixpoint, e.g. regular languages, rational streams and formal power-series, regular trees etc. And we obtain a number of new examples, e.g. (realtime deterministic resp. non-deterministic) context-free languages, constructively S-algebraic formal power-series (and any other instance of the generalized powerset construction by Silva, Bonchi, Bonsangue, and Rutten) and the monad of Courcelle's algebraic trees.

Includes members:
  Member "proper functors and fixed points for finite behaviour":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "on the behaviour of coalgebras with side effects and algebras with effectful iteration")
  Member "towards a coalgebraic chomsky hierarchy":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "toward a uniform theory of effectful state machines")
  Member "sound and complete axiomatizations of coalgebraic language equivalence":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "toward a uniform theory of effectful state machines")
  Member "coalgebraic characterizations of context free languages":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "toward a uniform theory of effectful state machines")
  Member "generalizing determinization from automata to coalgebras":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "toward a uniform theory of effectful state machines")
  Member "on the specification of operations on the rational behaviour of systems":
    also connected through other hyperedges:
      (none)
  Member "semantics of higher order recursion schemes":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on the behaviour of coalgebras with side effects and algebras with effectful iteration")
  Member "non deterministic kleene coalgebras":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "toward a uniform theory of effectful state machines")

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)