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 "path checking for mtl and tptl over data words"):
  Abstract: Metric temporal logic (MTL) and timed propositional temporal logic (TPTL) are quantitative extensions of linear temporal logic, which are prominent and widely used in the verification of real-timed systems. It was recently shown that the path checking problem for MTL, when evaluated over finite timed words, is in the parallel complexity class NC. In this paper, we derive precise complexity results for the path-checking problem for MTL and TPTL when evaluated over infinite data words over the non-negative integers. Such words may be seen as the behaviours of one-counter machines. For this setting, we give a complete analysis of the complexity of the path-checking problem depending on the number of register variables and the encoding of constraint numbers (unary or binary). As the two main results, we prove that the path-checking problem for MTL is P-complete, whereas the path-checking problem for TPTL is PSPACE-complete. The results yield the precise complexity of model checking deterministic one-counter machines against formulae of MTL and TPTL.

Includes members:
  Member "on the expressiveness of tptl and mtl over ω data words":
    also connected through other hyperedges:
      (none)
  Member "ehrenfeucht fraisse games for tptl and mtl over non monotonic data words":
    also connected through other hyperedges:
      (none)
  Member "on the complexity of temporal logic path checking":
    also connected through other hyperedges:
      - Hyperedge HE-1 (induced by source paper "a survey of challenges for runtime verification from advanced application domains beyond software")
  Member "efficient parallel path checking for linear time temporal logic with past and bounds":
    also connected through other hyperedges:
      - Hyperedge HE-2 (induced by source paper "a survey of challenges for runtime verification from advanced application domains beyond software")
  Member "ackermannian and primitive recursive bounds with dickson s lemma":
    also connected through other hyperedges:
      - Hyperedge HE-3 (induced by source paper "affine extensions of integer vector addition systems with states")
  Member "model checking one clock priced timed automata":
    also connected through other hyperedges:
      - Hyperedge HE-4 (induced by source paper "computing nash equilibrium in wireless ad hoc networks a simulation based approach")
  Member "on the decidability and complexity of metric temporal logic over finite words":
    also connected through other hyperedges:
      - Hyperedge HE-5 (induced by source paper "model checking the interval way")
  Member "ltl with the freeze quantifier and register automata":
    also connected through other hyperedges:
      - Hyperedge HE-6 (induced by source paper "on computability of data word functions defined by transducers")

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)