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 "formalization of metatheory of the quipper quantum programming language in a linear logic"):
  Abstract: We develop a linear logical framework within the Hybrid system and use it to reason about the type system of a quantum lambda calculus. In particular, we consider a practical version of the calculus called Proto-Quipper, which contains the core of Quipper. Quipper is a new quantum programming language under active development and recently has gained much popularity among the quantum computing communities. Hybrid is a system that is designed to support the use of higher-order abstract syntax (HOAS) for representing and reasoning about formal systems implemented in the Coq Proof Assistant. In this work, we extend the system with a linear specification logic (SL) in order to reason about the linear type system of Quipper. To this end, we formalize the semantics of Proto-Quipper by encoding the typing and evaluation rules in the SL, and prove type soundness.

Includes members:
  Member "qwire practice formal verification of quantum circuits in coq":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "toward certified quantum programming")
  Member "enriching a linear non linear lambda calculus a programming language for string diagrams":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "realizability in the unitary sphere")
  Member "an open challenge problem repository for systems supporting binders":
    also connected through other hyperedges:
      (none)
  Member "reasoning about higher order relational specifications":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "functional programming with λ tree syntax")
  Member "quipper a scalable quantum programming language":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "toward certified quantum programming")
  Member "an improved implementation and abstract interface for hybrid":
    also connected through other hyperedges:
      (none)
  Member "the abella interactive theorem prover system description":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "rapid prototyping formal systems in mmt 5 case studies")
  Member "a lambda calculus for quantum computation with classical control":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "toward certified quantum programming")

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)