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: "propositional computability logic ii"
  Abstract: In the same sense as classical logic is a formal theory of truth, the recently initiated approach called computability logic is a formal theory of computability. It understands (interactive) computational problems as games played by a machine against the environment, their computability as existence of a machine that always wins the game, logical operators as operations on computational problems, and validity of a logical formula as being a scheme of “always computabl ” problems. Computability logic has been introduced semantically, and now among its main technical goals is to axiomatize the set of valid formulas or various natural fragments of that set. The present contribution signifies a first step towards this goal. It gives a detailed exposition of a soundness and completeness proof for the rather new type of a deductive propositional system CL1, the logical vocabulary of which contains operators for the so called parallel and choice operations, and the atoms of which represent elementary problems, that is, predicates in the standard sense.This article is self-contained as it explains all relevant concepts. While not technically necessary, familiarity with the foundational paper “Introduction to Computability Logi ” [Annals of Pure and Applied Logic 123 (2003), pp.1-99] would greatly help the reader in understanding the philosophy, underlying motivations, potential and utility of computability logic---the context that determines the value of the present results.

Connected through hyperedge HE-1 (induced by source paper "fundamentals of computability logic"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "build your own clarithmetic i setup and completeness"
    - "elementary base cirquent calculus i parallel and choice connectives"
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "on the system cl12 of computability logic"
    - "a propositional system induced by japaridze s approach to if logic"
    - "expressing algorithms as concise as possible via computability logic"

Connected through hyperedge HE-2 (induced by source paper "extending and automating basic probability theory with propositional computability logic"):
  with members:
    - "towards applied theories based on computability logic"
    - "in the beginning was game semantics"
    - "computability logic a formal theory of interaction"

Connected through hyperedge HE-3 (induced by source paper "towards distributed logic programming based on computability logic"):
  with members:
    - "on the system cl12 of computability logic"
    - "towards applied theories based on computability logic"

Connected through hyperedge HE-4 (induced by source paper "build your own clarithmetic i setup and completeness"):
  with members:
    - "build your own clarithmetic ii soundness"
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "build your own clarithmetic ii"
    - "on the system cl12 of computability logic"
    - "a propositional system induced by japaridze s approach to if logic"
    - "a cirquent calculus system with clustering and ranking"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"

Connected through hyperedge HE-5 (induced by source paper "introduction to clarithmetic ii"):
  with members:
    - "games and full completeness for multiplicative linear logic"
    - "a logical basis for constructive systems"
    - "toggling operators in computability logic"
    - "towards applied theories based on computability logic"
    - "many concepts and two logics of algorithmic reduction"
    - "in the beginning was game semantics"
    - "sequential operators in computability logic"
    - "cirquent calculus deepened"

Connected through hyperedge HE-6 (induced by source paper "on the system cl12 of computability logic"):
  with members:
    - "introduction to clarithmetic ii"
    - "the computational complexity of propositional cirquent calculus"
    - "a propositional system induced by japaridze s approach to if logic"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "games and full completeness for multiplicative linear logic"
    - "separating the basic logics of the basic recurrences"
    - "a new face of the branching recurrence of computability logic"

Connected through hyperedge HE-7 (induced by source paper "the computational complexity of propositional cirquent calculus"):
  with members:
    - "a propositional system induced by japaridze s approach to if logic"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "in the beginning was game semantics"
    - "cirquent calculus deepened"
    - "from truth to computability ii"

Connected through hyperedge HE-8 (induced by source paper "the taming of recurrences in computability logic through cirquent calculus part ii"):
  with members:
    - "introduction to clarithmetic ii"
    - "separating the basic logics of the basic recurrences"
    - "a new face of the branching recurrence of computability logic"
    - "a logical basis for constructive systems"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "toggling operators in computability logic"
    - "towards applied theories based on computability logic"

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)