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 "one counter verifiers for decidable languages"):
  Abstract: Condon and Lipton (FOCS 1989) showed that the class of languages having a space-bounded interactive proof system (IPS) is a proper subset of decidable languages, where the verifier is a probabilistic Turing machine. In this paper, we show that if we use architecturally restricted verifiers instead of restricting the working memory, i.e. replacing the working tape(s) with a single counter, we can define some IPS's for each decidable language. Such verifiers are called two-way probabilistic one-counter automata (2pca's). Then, we show that by adding a fixed-size quantum memory to a 2pca, called a two-way one-counter automaton with quantum and classical states (2qcca), the protocol can be space efficient. As a further result, if the 2qcca can use a quantum counter instead of a classical one, then the protocol can even be public, also known as Arthur-Merlin games. #R##N#We also investigate the computational power of 2pca's and 2qcca's as language recognizers. We show that bounded-error 2pca's can be more powerful than their deterministic counterparts by giving a bounded-error simulation of their nondeterministic counterparts. Then, we present a new programming technique for bounded-error 2qcca's and show that they can recognize a language which seems not to be recognized by any bounded-error 2pca. We also obtain some interesting results for bounded-error 1-pebble quantum finite automata based on this new technique. Lastly, we prove a conjecture posed by Ravikumar (FSTTCS 1992) regarding 1-pebble probabilistic finite automata, i.e. they can recognize some nonstochastic languages with bounded error.

Includes members:
  Member "turing equivalent automata using a fixed size quantum memory":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "power of the interactive proof systems with verifiers modeled by semi quantum two way finite automata")
  Member "quantum counter automata":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "exact affine counter automata")
  Member "quantum computation with write only memory":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "nonuniform families of polynomial size quantum finite automata and quantum logarithmic space computation with polynomial size advice")
  Member "unbounded error quantum computation with small space bounds":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "quantum finite automata survey status and research directions")
  Member "succinctness of two way probabilistic and quantum finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "quantum finite automata survey status and research directions")
  Member "languages recognized by nondeterministic quantum finite automata":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "nonuniform families of polynomial size quantum finite automata and quantum logarithmic space computation with polynomial size advice")
  Member "two way finite automata with quantum and classical states":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "classically time controlled quantum automata definition and properties")

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.CC(Computational Complexity)