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: "mso definable string transductions and two way finite state transducers"
  Abstract: String transductions that are definable in monadic second-order (mso) logic (without the use of parameters) are exactly those realized by deterministic two-way finite state transducers. Nondeterministic mso definable string transductions (i.e., those definable with the use of parameters) correspond to compositions of two nondeterministic two-way finite state transducers that have the finite visit property. Both families of mso definable string transductions are characterized in terms of Hennie machines, i.e., two-way finite state transducers with the finite visit property that are allowed to rewrite their input tape.

Connected through hyperedge HE-1 (induced by source paper "first order tree to tree functions"):
  with members:
    - "regular combinators for string transformations"
    - "wreath products of forest algebras with applications to tree logics"
    - "streaming tree transducers"

Connected through hyperedge HE-2 (induced by source paper "regular resynchronizability of origin transducers is undecidable"):
  with members:
    - "on synthesis of resynchronizers for transducers"
    - "origin equivalence of two way word transducers is in pspace"
    - "on equivalence and uniformisation problems for finite transducers"

Connected through hyperedge HE-3 (induced by source paper "a buchi elgot trakhtenbrot theorem for automata with mso graph storage"):
  with members:
    - "string to string interpretations with polynomial size output"
    - "origin equivalence of two way word transducers is in pspace"
    - "weighted regular tree grammars with storage"
    - "dyck based characterizations of indexed languages"
    - "context free grammars with storage"
    - "transducers with origin information"

Connected through hyperedge HE-4 (induced by source paper "re pairing brackets"):
  with members:
    - "complexity of problems of commutative grammars"
    - "decision problems for additive regular functions"
    - "pebble games proof complexity and time space trade offs"
    - "algorithmic verification of asynchronous programs"
    - "parikh s theorem a simple and direct automaton construction"

Connected through hyperedge HE-5 (induced by source paper "sequentiality of string to context transducers"):
  with members:
    - "quantitative languages defined by functional automata"
    - "regular combinators for string transformations"

Connected through hyperedge HE-6 (induced by source paper "modular descriptions of regular functions"):
  with members:
    - "regular and first order list functions"
    - "on reversible transducers"

Connected through hyperedge HE-7 (induced by source paper "equivalence of finite valued streaming string transducers is decidable"):
  with members:
    - "on the decomposition of k valued rational relations"

Connected through hyperedge HE-8 (induced by source paper "string to string interpretations with polynomial size output"):
  with members:
    - "regular combinators for string transformations"

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.LO(Logic in Computer Science)