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: "toggling operators in computability logic"
  Abstract: Computability logic (CoL) is a recently introduced semantical platform and research program for redeveloping logic as a formal theory of computability, as opposed to the formal theory of truth that logic has more traditionally been. Formulas in CoL stand for interactive computational problems, seen as games between a machine and its environment; logical operators represent operations on such entities; and ''truth'' is understood as existence of an effective solution, i.e., of an algorithmic winning strategy. The formalism of CoL is open-ended, and may undergo series of extensions as the studies of the subject advance. Propositional connectives and quantifiers in it come in a variety of indispensable versions. So far three sorts of conjunction and disjunction-parallel, sequential and choice-have been studied, with the first and the third sorts being reminiscent of the multiplicative and additive operators of linear logic, respectively. The present paper adds one more natural kind to this collection, termed toggling. The toggling operations can be characterized as lenient versions of choice operations where choices are retractable, being allowed to be reconsidered any finite number of times. This way, they model trial-and-error style decision steps in interactive computation. The main technical result of this paper is constructing a sound and complete axiomatization for the propositional fragment of computability logic whose vocabulary includes all four kinds of conjunction and disjunction: parallel, toggling, sequential and choice, together with negation. Along with toggling conjunction and disjunction, the paper also introduces the toggling versions of quantifiers and recurrence (''exponential'') operations.

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 "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-3 (induced by source paper "introduction to clarithmetic ii"):
  with members:
    - "games and full completeness for multiplicative linear logic"
    - "a logical basis for constructive systems"
    - "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"
    - "the logic of interactive turing reduction"

Connected through hyperedge HE-4 (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-5 (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"
    - "towards applied theories based on computability logic"
    - "many concepts and two logics of algorithmic reduction"

Connected through hyperedge HE-6 (induced by source paper "implementing program extraction from cl1 proofs"):
  with members:
    - "on the system cl12 of computability logic"
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "the countable versus uncountable branching recurrences in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "towards applied theories based on computability logic"
    - "many concepts and two logics of algorithmic reduction"
    - "in the beginning was game semantics"

Connected through hyperedge HE-7 (induced by source paper "a logical basis for constructive systems"):
  with members:
    - "games and full completeness for multiplicative linear 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"
    - "the logic of interactive turing reduction"
    - "the intuitionistic fragment of computability logic at the propositional level"

Connected through hyperedge HE-8 (induced by source paper "separating the basic logics of the basic recurrences"):
  with members:
    - "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"
    - "the logic of interactive turing reduction"
    - "the intuitionistic fragment of computability logic at the propositional level"
    - "propositional computability logic ii"

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)