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: "the computational complexity of propositional cirquent calculus"
  Abstract: Introduced in 2006 by Japaridze, cirquent calculus is a refinement of sequent#N#calculus. The advent of cirquent calculus arose from the need for a deductive#N#system with a more explicit ability to reason about resources. Unlike the more#N#traditional proof-theoretic approaches that manipulate tree-like objects#N#(formulas, sequents, etc.), cirquent calculus is based on circuit-style#N#structures called cirquents, in which different "peer" (sibling, cousin, etc.)#N#substructures may share components. It is this resource sharing mechanism to#N#which cirquent calculus owes its novelty (and its virtues). From its inception,#N#cirquent calculus has been paired with an abstract resource semantics. This#N#semantics allows for reasoning about the interaction between a resource#N#provider and a resource user, where resources are understood in the their most#N#general and intuitive sense. Interpreting resources in a more restricted#N#computational sense has made cirquent calculus instrumental in axiomatizing#N#various fundamental fragments of Computability Logic, a formal theory of#N#(interactive) computability. The so-called "classical" rules of cirquent#N#calculus, in the absence of the particularly troublesome contraction rule,#N#produce a sound and complete system CL5 for Computability Logic. In this paper,#N#we investigate the computational complexity of CL5, showing it is#N#$\Sigma_2^p$-complete. We also show that CL5 without the duplication rule has#N#polynomial size proofs and is NP-complete.

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"
    - "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"
    - "a cirquent calculus system with clustering and ranking"

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"
    - "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"
    - "the parallel versus branching recurrences in computability logic"

Connected through hyperedge HE-3 (induced by source paper "on the system cl12 of computability logic"):
  with members:
    - "introduction to clarithmetic ii"
    - "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"
    - "a logical basis for constructive systems"

Connected through hyperedge HE-4 (induced by source paper "a cirquent calculus system with clustering and ranking"):
  with members:
    - "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"
    - "in the beginning was game semantics"

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)