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 "łukasiewicz mu calculus"):
  Abstract: htmlabstractThe paper explores properties of Łukasiewicz mu-calculus, a version of the quantitative/probabilistic#R##N#modal m-calculus containing both weak and strong conjunctions and disjunctions from Łukasiewicz#R##N#(fuzzy) logic. We show that this logic encodes the well-known probabilistic temporal logic PCTL.#R##N#And we give a model-checking algorithm for computing the rational denotational value of a formula#R##N#at any state in a ﬁnite rational probabilistic nondeterministic transition system.

Includes members:
  Member "probabilistic modal mu calculus with independent product":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "the uniform measure of simple regular sets of infinite trees")
  Member "on the equivalence of game and denotational semantics for the probabilistic mu calculus":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "computing probabilistic bisimilarity distances for probabilistic automata")
  Member "characterising probabilistic processes logically":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "logical characterization of bisimulation metrics")

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)