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 "safe recursion on notation into a light logic by levels"):
  Abstract: We embed Safe Recursion on Notation (SRN) into Light Affine Logic by Levels ( LALL), derived from the logic ML 4 . LALL is an intuitionistic deductive system, with a polynomial ti me cut elimination strategy. The embedding allows to represent every term t of SRN as a family of nets hdte l il2N in LALL. Every net dte l in the family simulates t on arguments whose bit length is bounded by the integer l. The embedding is based on two crucial features. One is the recursive type in LALL that encodes Scott binary numerals, i.e. Scott words, as nets. Scott words represent the arguments of t in place of the more standard Church binary numerals. Also, the embedding exploits the “fuzzy” borders of paragraph boxes that LALL inherits from ML 4 to “freely” duplicate the arguments, especially the safe ones, of t. Finally, the type of dte l depends on the number of composition and recursion schemes used to define t, namely the structural complexity of t. Moreover, the size of dte l is a polynomial in l, whose degree depends on the structural complexity of t. So, this work makes closer both the predicative recursive theoretic principle s SRN relies on, and the proof theoretic one, called stratification, at the base of Light Linear Logic.

Includes members:
  Member "linear logic by levels and bounded time complexity":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "paths based criteria and application to linear logic subsystems characterizing polynomial time")
  Member "on the complexity of stratified logics":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "on paths based criteria for polynomial time complexity in proof nets")

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)