human: Given a node-centered hypergraph: <hypergraph>, where nodes represent papers and hyperedges represent sets of papers co-cited by a source paper.

Details of the hypergraph:
Center node: "on the regular emptiness problem of subzero automata"
  Abstract: In the fundamental paper [5] Rabin proved that the monadic second order logic (MSO) of the full binary tree is decidable using the automata method. This proof technique can be roughly described as follows: (1) an appropriate notion of tree automaton is defined; (2) every formula φ of the MSO logic is effectively associated to an automaton Aφ such that that φ is true if and only if Aφ accepts a non-empty language; (3) the emptiness problem, that is deciding if Aφ accepts a non-empty language, is proved to be decidable. The latter point is typically established using combinatorial reasoning about the graph structure of Aφ . Recently, Michalewski and Mio have investigated in [4] an extension of the MSO logic of the full binary tree, called MSO + ∀=1, capable of expressing probabilistic properties. While the full logic MSO + ∀=1 is undecidable (see Section 5 of [4]), the decidability of an interesting fragment called MSO+∀=1 π (see Section 6 of [4]), capable of expressing many probabilistic properties useful in program verification such as those definable by the logic pCTL and its variants, is an open problem. Bojanczyk proposed in [1] to use the automata method to prove the decidability of the weak fragment of MSO+ ∀=1 π , where second-order quantification is restricted to finite sets, which is still sufficiently expressive to express most useful probabilistic properties in program verification. Namely, Bojanczyk has: (1) introduced a special class of zero automata and (2) proved that for every formula φ of weakMSO+∀=1 π one can effectively associate a zero automaton Aφ such that φ is true if and only if Aφ accepts a non-empty language. Hence what is still missing from Bojanczyk’s approach is a proof of decidability of the emptiness problem of zero automata. In this paper we consider a simplified version of zero automata introduced by Bojanczyk1. We call the simplified class subzero automata and prove the following result:

Question: Please tell me which class the center node 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)