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 "buchi complementation and size change termination"):
  Abstract: We compare tools for complementing nondeterministic B\"uchi automata with a#N#recent termination-analysis algorithm. Complementation of B\"uchi automata is a#N#key step in program verification. Early constructions using a Ramsey-based#N#argument have been supplanted by rank-based constructions with exponentially#N#better bounds. In 2001 Lee et al. presented the size-change termination (SCT)#N#problem, along with both a reduction to B\"uchi automata and a Ramsey-based#N#algorithm. The Ramsey-based algorithm was presented as a more practical#N#alternative to the automata-theoretic approach, but strongly resembles the#N#initial complementation constructions for B\"uchi automata. We prove that the#N#SCT algorithm is a specialized realization of the Ramsey-based complementation#N#construction. To do so, we extend the Ramsey-based complementation construction#N#to provide a containment-testing algorithm. Surprisingly, empirical analysis#N#suggests that despite the massive gap in worst-case complexity, Ramsey-based#N#approaches are superior over the domain of SCT problems. Upon further analysis#N#we discover an interesting property of the problem space that both explains#N#this result and provides a chance to improve rank-based tools. With these#N#improvements, we show that theoretical gains in efficiency of the rank-based#N#approach are mirrored in empirical performance.

Includes members:
  Member "sat based termination analysis using monotonicity constraints over the integers":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "bounded termination of monotonicity constraint transition systems")
  Member "size change termination monotonicity constraints and ranking functions":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a type based complexity analysis of object oriented programs")
  Member "b uchi complementation made tight":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "state of buchi complementation")
  Member "antichains for the automata based approach to model checking":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "looking at mean payoff through foggy windows")

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.FL(Formal Languages and Automata Theory)