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 "most complex deterministic union free regular languages"):
  Abstract: A regular language $L$ is union-free if it can be represented by a regular expression without the union operation. A union-free language is deterministic if it can be accepted by a deterministic one-cycle-free-path finite automaton; this is an automaton which has one final state and exactly one cycle-free path from any state to the final state. Jir\'askov\'a and Masopust proved that the state complexities of the basic operations reversal, star, product, and boolean operations in deterministic union-free languages are exactly the same as those in the class of all regular languages. To prove that the bounds are met they used five types of automata, involving eight types of transformations of the set of states of the automata. We show that for each $n\ge 3$ there exists one ternary witness of state complexity $n$ that meets the bound for reversal and product. Moreover, the restrictions of this witness to binary alphabets meet the bounds for star and boolean operations. We also show that the tight upper bounds on the state complexity of binary operations that take arguments over different alphabets are the same as those for arbitrary regular languages. Furthermore, we prove that the maximal syntactic semigroup of a union-free language has $n^n$ elements, as in the case of regular languages, and that the maximal state complexities of atoms of union-free languages are the same as those for regular languages. Finally, we prove that there exists a most complex union-free language that meets the bounds for all these complexity measures. Altogether this proves that the complexity measures above cannot distinguish union-free languages from regular languages.

Includes members:
  Member "a new technique for reachability of states in concatenation automata":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "most complex non returning regular languages")
  Member "unrestricted state complexity of binary operations on regular and ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "quotient complexities of atoms in regular ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "most complex non returning regular languages")
  Member "most complex regular ideal languages":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "complexity of atoms combinatorially":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "a congruence based perspective on automata minimization algorithms")
  Member "symmetric groups and quotient complexity of boolean operations":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "primitivity uniform minimality and state complexity of boolean operations")
  Member "large aperiodic semigroups":
    also connected through other hyperedges:
      - Hyperedge HE-7 (induced by source paper "syntactic complexity of bifix free languages")
  Member "theory of atomata":
    also connected through other hyperedges:
      - Hyperedge HE-8 (induced by source paper "a co algebraic theory of succinct automata")

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)