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 "the complexity of non iterated probabilistic justification logic"):
  Abstract: The logic $$\mathsf {PJ}$$ is a probabilistic logic defined by adding non-iterated probability operators to the basic justification logic $$\mathsf {J}$$. In this paper we establish upper and lower bounds for the complexity of the derivability problem in the logic $$\mathsf {PJ}$$. The main result of the paper is that the complexity of the derivability problem in $$\mathsf {PJ}$$ remains the same as the complexity of the derivability problem in the underlying logic $$\mathsf {J}$$, which is $$\varPi _2^p$$-complete. This implies hat the probability operators do not increase the complexity of the logic, although they arguably enrich the expressiveness of the language.

Includes members:
  Member "on the complexity of probabilistic justification logic":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the complexity of satisfiability in non iterated and iterated probabilistic logics")
  Member "nexp completeness and universal hardness results for justification logic":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "the complexity of satisfiability in non iterated and iterated probabilistic logics")
  Member "justifications for common knowledge":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "time stamped claim 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)