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 "categorical liveness checking by corecursive algebras"):
  Abstract: Final coalgebras as "categorical greatest fixed points" play a central role in the theory of coalgebras. Somewhat analogously, most proof methods studied therein have focused on greatest fixed-point properties like safety and bisimilarity. Here we make a step towards categorical proof methods for least fixed-point properties over dynamical systems modeled as coalgebras. Concretely, we seek a categorical axiomatization of well-known proof methods for liveness, namely ranking functions (in nondeterministic settings) and ranking supermartingales (in probabilistic ones). We find an answer in a suitable combination of coalgebraic simulation (studied previously by the authors) and corecursive algebra as a classifier for (non-)well-foundedness.

Includes members:
  Member "coalgebraic trace semantics for buechi and parity automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a coalgebraic take on regular and omega regular behaviours")
  Member "healthiness from duality":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "aiming low is harder inductive proof rules for lower bounds on weakest preexpectations in probabilistic program verification")
  Member "coalgebraic infinite traces and kleisli simulations":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "guarded and unguarded iteration for generalized processes")
  Member "well pointed coalgebras":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "coalgebra learning via duality")
  Member "pspace bounds for rank 1 modal logics":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "optimal satisfiability checking for arithmetic mu calculi")
  Member "generic trace semantics via coinduction":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "preservation of equations by monoidal monads")
  Member "positional determinacy of games with infinitely many priorities":
    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)