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: "cirquent calculus deepened"
  Abstract: Cirquent calculus is a new proof-theoretic and semantic framework, whose main distinguishing feature is being based on circuit-style structures (called cirquents), as opposed to the more traditional approaches that deal with tree-like objects such as formulas, sequents or hypersequents. Among its advantages are greater efficiency, flexibility and expressiveness. This article presents a detailed elaboration of a deep-inference cirquent logic, which is naturally and inherently resource conscious. It shows that classical logic, both syntactically and semantically, can be seen to be just a special, conservative fragment of this more general and, in a sense, more basic logic—the logic of resources in the form of cirquent calculus. The reader will find various arguments in favour of switching to the new framework, such as arguments showing the insufficiency of the expressive power of linear logic or other formula-based approaches to developing resource logics, exponential improvements over the traditional approaches in both representational and proof complexities offered by cirquent calculus (including the existence of polynomial size cut-, substitution-and extension-free cirquent calculus proofs for the notoriously hard pigeonhole principle), and more. Among the main purposes of this article is to provide an introductory-style starting point for what, as the author wishes to hope, might have chances to become a new line of research in proof theory—a proof theory based on circuits instead of formulas.

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 "elementary base cirquent calculus ii choice quantifiers"):
  with members:
    - "elementary base cirquent calculus i parallel and choice connectives"
    - "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"
    - "from formulas to cirquents in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"

Connected through hyperedge HE-3 (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-4 (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"
    - "the logic of interactive turing reduction"

Connected through hyperedge HE-5 (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-6 (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"
    - "propositional computability logic ii"
    - "from truth to computability ii"

Connected through hyperedge HE-7 (induced by source paper "a cirquent calculus system with clustering and ranking"):
  with members:
    - "the computational complexity of propositional cirquent calculus"
    - "extracting verified decision procedures dpll and resolution"
    - "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"
    - "from formulas to cirquents in computability logic"
    - "the countable versus uncountable branching recurrences in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"

Connected through hyperedge HE-8 (induced by source paper "a propositional system induced by japaridze s approach to if logic"):
  with members:
    - "the taming of recurrences in computability logic through cirquent calculus part ii"
    - "the parallel versus branching recurrences in computability logic"
    - "from formulas to cirquents in computability logic"
    - "the countable versus uncountable branching recurrences in computability logic"
    - "soundness and completeness of the cirquent calculus system cl6 for computability logic"
    - "in the beginning was game semantics"
    - "on the proof complexity of deep inference"

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)