human: Given a hyperedge-centered hypergraph: <hypergraph>, where the center hyperedge is induced by one source paper and its member nodes are the cited papers.

Details of the hypergraph:
Center hyperedge (induced by source paper "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.

Includes members:
  Member "in the beginning was game semantics":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "fundamentals of computability logic")
  Member "on the proof complexity of deep inference":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "sequential operators in computability logic":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "fundamentals of computability logic")
  Member "a system of interaction and structure":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "computability logic a formal theory of interaction":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "fundamentals of computability logic")

Question: Please tell me which class the source paper 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)