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 "on equivalence and emptiness problems of multi letter measure many quantum finite automata"):
  Abstract: In this paper, we study some decision problems both for {\it multi-letter quantum finite automata} and {\it measure many multi-letter quantum finite automata}. We first show that given a $k_1$-letter quantum finite automaton $\mathcal{A}_1$ and a $k_2$-letter quantum finite automaton $\mathcal{A}_2$ over the same input alphabet $\Sigma$, they are equivalent if and only if they are $(n_1^2+n_2^2-1)|\Sigma|^{k-1}+k$-equivalent where $n_i$, $i=1,2$, are the number of states in $\mathcal{A}_i$ respectively, and $k=\max\{k_1,k_2\}$. By applying a method, due to the author, used to deal with the equivalence problem of {\it measure many one-way quantum finite automata}, we also show that a $k_1$-letter measure many quantum finite automaton $\mathcal{A}_1$ and a $k_2$-letter measure many quantum finite automaton $\mathcal{A}_2$ are equivalent if and only if they are $(n_1^2+n_2^2-1)|\Sigma|^{k-1}+k$-equivalent where $n_i$, $i=1,2$, are the number of states in $\mathcal{A}_i$ respectively, and $k=\max\{k_1,k_2\}$. #R##N#Next, we study the emptiness problem of those two kinds of quantum finite automata. We show that whether the language recognized by a $k$-letter quantum finite automaton with non-strict cut-point is empty is undecidable, but we leave open the emptiness of language reorganized by a $k$-letter quantum finite automaton with strict cutpoint. We also show that whether the languages recognized by a $k$-letter measure many quantum finite automaton with both nonstrict and strict cutpoints are undecidable. And the direct consequences of the above outcomes are summarized in the paper.

Includes members:
  Member "note on equivalence of cutpoint languages recognized by measure many quantum finite automata":
    also connected through other hyperedges:
      (none)
  Member "quantum computation with write only memory":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "nonuniform families of polynomial size quantum finite automata and quantum logarithmic space computation with polynomial size advice")
  Member "another approach to the equivalence of measure many one way quantum finite automata and its application":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "note on equivalence of cutpoint languages recognized by measure many quantum finite automata")
  Member "two way finite automata with quantum and classical states":
    also connected through other hyperedges:
      - Hyperedge HE-3 (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)