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 "subatomic systems need not be subatomic"):
  Abstract: Subatomic systems were recently introduced to identify the structural principles underpinning the normalization of proofs. "Subatomic" means that we can reformulate logical systems in accordance with two principles. Their atomic formulas become instances of sub-atoms, non-commutative self-dual relations among logical constants, and their rules are derivable by means of a unique deductive scheme, the medial shape. One of the results is that the cut-elimination of subatomic systems implies the cut-elimination of every standard system we can represent sub-atomically. #R##N#We here introduce Subatomic systems-1.1. They relax and widen the properties that the sub-atoms of Subatomic systems can satisfy while maintaining the use of the medial shape as their only inference principle. Since sub-atoms can operate directly on variables we introduce P. The cut-elimination of P is a corollary of the cut-elimination that we prove for Subatomic systems-1.1. Moreover, P is sound and complete with respect to the clone at the top of Post's Lattice. I.e. P proves all and only the tautologies that contain conjunctions, disjunctions and projections. So, P extends Propositional logic without any encoding of its atoms as sub-atoms of P. #R##N#This shows that the logical principles underpinning Subatomic systems also apply outside the sub-atomic level which they are conceived to work at. We reinforce this point of view by introducing the set R of medial shapes. The formulas that the rules in R deal with belong to the union of two disjoint clones of Post's Lattice. The SAT-problem of the first clone is in P-Time. The SAT-problem of the other is NP-Time complete. So, R and the proof technology of Subatomic systems could help to identify proof-theoretical properties that highlight the phase transition from P-Time to NP-Time complete satisfiability.

Includes members:
  Member "subatomic proof systems splittable systems":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "a deep inference system with a self dual binder which is complete for linear lambda calculus":
    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 "a system of interaction and structure":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative logic")
  Member "a system of interaction and structure ii the need for deep inference":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "de morgan dual nominal quantifiers modelling private names in non commutative 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)